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  • 1. Amoretti, A.
    et al.
    Areán, D.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Musso, D.
    Effective holographic theory of charge density waves2018In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 97, no 8, article id 086017Article in journal (Refereed)
    Abstract [en]

    We use gauge/gravity duality to write down an effective low energy holographic theory of charge density waves. We consider a simple gravity model which breaks translations spontaneously in the dual field theory in a homogeneous manner, capturing the low energy dynamics of phonons coupled to conserved currents. We first focus on the leading two-derivative action, which leads to excited states with nonzero strain. We show that including subleading quartic derivative terms leads to dynamical instabilities of AdS2 translation invariant states and to stable phases breaking translations spontaneously. We compute analytically the real part of the electric conductivity. The model allows to construct Lifshitz-like hyperscaling violating quantum critical ground states breaking translations spontaneously. At these critical points, the real part of the dc conductivity can be metallic or insulating.

  • 2.
    Amoretti, Andrea
    et al.
    Univ Libre Bruxelles, Phys Theor & Math Inst, CP 231, B-1050 Brussels, Belgium.;Univ Libre Bruxelles, Int Solvay Inst, CP 231, B-1050 Brussels, Belgium..
    Arean, Daniel
    Univ Porto, Dept Fis, Ctr Fis Porto, Rua Campo Alegre 687, P-4169007 Porto, Portugal..
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Musso, Daniele
    Univ Santiago de Compostela, Dept Fis Particulas, E-15782 Santiago De Compostela, Spain.;IGFAE, E-15782 Santiago De Compostela, Spain..
    de Resistivity of Quantum Critical, Charge Density Wave States from Gauge-Gravity Duality2018In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 120, no 17, article id 171603Article in journal (Refereed)
    Abstract [en]

    In contrast to metals with weak disorder, the resistivity of weakly pinned charge density waves (CDWs) is not controlled by irrelevant processes relaxing momentum. Instead, the leading contribution is governed by incoherent, diffusive processes which do not drag momentum and can be evaluated in the clean limit. We compute analytically the dc resistivity for a family of holographic charge density wave quantum critical phases and discuss its temperature scaling. Depending on the critical exponents, the ground state can be conducting or insulating. We connect our results to dc electrical transport in underdoped cuprate high T-c superconductors. We conclude by speculating on the possible relevance of unstable, semilocally critical CDW states to the strange metallic region.

  • 3. Baggioli, M.
    et al.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Kiritsis, E.
    Li, W. -J
    Higher derivative corrections to incoherent metallic transport in holography2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2017, no 3, article id 170Article in journal (Refereed)
    Abstract [en]

    Transport in strongly-disordered, metallic systems is governed by diffusive processes. Based on quantum mechanics, it has been conjectured that these diffusivities obey a lower bound D/v2 ≳ ℏ/kBT , the saturation of which provides a mechanism for the T-linear resistivity of bad metals. This bound features a characteristic velocity v, which was later argued to be the butterfly velocity vB, based on holographic models of transport. This establishes a link between incoherent metallic transport, quantum chaos and Planckian timescales. Here we study higher derivative corrections to an effective holographic action of homogeneous disorder. The higher derivative terms involve only the charge and translation symmetry breaking sector. We show that they have a strong impact on the bound on charge diffusion Dc/νB 2 ≳ ℏ/kBT, by potentially making the coefficient of its right-hand side arbitrarily small. On the other hand, the bound on energy diffusion is not affected.

  • 4. Bhattacharya, Jyotirmoy
    et al.
    Cremonini, Sera
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm University, Sweden; Stanford University, United States; Université Paris 7, France.
    Intermediate scalings in holographic RG flows and conductivities2015In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, article id 035Article in journal (Refereed)
    Abstract [en]

    We construct numerically finite density domain-wall solutions which interpolate between two AdS(4) fixed points and exhibit an intermediate regime of hyperscaling violation, with or without Lifshitz scaling. Such RG flows can be realized in gravitational models containing a dilatonic scalar and a massive vector field with appropriate choices of the scalar potential and couplings. The infrared AdS(4) fixed point describes a new ground state for strongly coupled quantum systems realizing such scalings, thus avoiding the well-known extensive zero temperature entropy associated with AdS(2) x R-2. We also examine the zero temperature behavior of the optical conductivity in these backgrounds and identify two scaling regimes before the UV CFT scaling is reached. The scaling of the conductivity is controlled by the emergent IR conformal symmetry at very low frequencies, and by the intermediate scaling regime at higher frequencies.

  • 5. Caldarelli, Marco M.
    et al.
    Camps, Joan
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Skenderis, Kostas
    AdS/Ricci-flat correspondence2014In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, p. 071-Article in journal (Refereed)
    Abstract [en]

    We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black p-branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions.

  • 6. Caldarelli, Marco M.
    et al.
    Camps, Joan
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Skenderis, Kostas
    AdS/Ricci-flat correspondence and the Gregory-Laflamme instability2013In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 87, no 6, p. 061502-Article in journal (Refereed)
    Abstract [en]

    We show that for every asymptotically anti-de Sitter (AdS) solution compactified on a torus there is a corresponding Ricci-flat solution obtained by replacing the torus by a sphere, performing a Weyl rescaling of the metric and appropriately analytically continuing the dimension of the torus/sphere (as in generalized dimensional reduction). In particular, it maps Minkowski spacetime to AdS on a torus, the holographic stress energy tensor of AdS to the stress energy tensor due to a brane localized in the interior of spacetime and AdS black branes to (asymptotically flat) Schwarzschild black branes. Applying it to the known solutions describing the hydrodynamic regime in AdS/CFT, we derive the hydrodynamic stress tensor of asymptotically flat black branes to second order, which is constrained by the parent conformal symmetry. We compute the dispersion relation of the Gregory-Laflamme unstable modes through cubic order in the wave number, finding remarkable agreement with numerical data. In the case of no transverse sphere, AdS black branes are mapped to Rindler spacetime and the second-order transport coefficients of the fluid dual to Rindler spacetime are recovered.

  • 7.
    Davison, Richard A.
    et al.
    Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England..
    Gentle, Simon A.
    Univ Utrecht, Inst Theoret Phys, NL-3508 TD Utrecht, Netherlands.;Leiden Univ, Inst Lorentz Theoret Phys, NL-2333 CA Leiden, Netherlands..
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Univ Paris Saclay, Ctr Theoret Phys, Ecole Polytech, CNRS UMR 7644, F-91128 Palaiseau, France;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.
    Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states2019In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 100, no 8, article id 086020Article in journal (Refereed)
    Abstract [en]

    We study thermodynamic and transport observables of quantum critical states that arise in the infrared limit of holographic renormalization group flows. Although these observables are expected to exhibit quantum critical scaling, there are a number of cases in which their frequency and temperature dependences are in apparent contradiction with scaling theories. We study two different classes of examples and show in both cases that the apparent breakdown of scaling is a consequence of the dependence of observables on an irrelevant deformation of the quantum critical state. By assigning scaling dimensions to the near-horizon observables, we formulate improved scaling theories that are completely consistent with all explicit holographic results once the dependence on the dangerously irrelevant coupling is properly accounted for. In addition to governing thermodynamic and transport phenomena in these states, we show that the dangerously irrelevant coupling also controls late-time equilibration, which occurs at a rate parametrically slower than the temperature 1/tau(eq) << T. At very late times, transport is diffusion-dominated, with a diffusivity that can be written simply in terms of tau(eq) and the butterfly velocity, D similar to v(B)(2)tau(eq). We conjecture that in such cases there exists a long-lived, propagating collective mode with velocity v, and in this case the relation D = v(s)(2)tau(eq) holds exactly in the limit tau T-eq >> 1.

  • 8.
    Davison, Richard A.
    et al.
    Harvard Univ, Dept Phys, Cambridge, MA 02138 USA.;Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England..
    Gentle, Simon A.
    Univ Utrecht, Inst Theoret Phys, NL-3508 TD Utrecht, Netherlands.;Leiden Univ, Inst Lorentz Theoret Phys, NL-2333 CA Leiden, Netherlands..
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..
    Slow Relaxation and Diffusion in Holographic Quantum Critical Phases2019In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 123, no 14, article id 141601Article in journal (Refereed)
    Abstract [en]

    The dissipative dynamics of strongly interacting systems are often characterized by the timescale set by the inverse temperature tau(p) similar to h/(k(B)T). We show that near a class of strongly interacting quantum critical points that arise in the infrared limit of translationally invariant holographic theories, there is a collective excitation (a quasinormal mode of the dual black hole spacetime) whose lifetime tau(eq) is parametrically longer than tau(p): tau(eq) >> T-1. The lifetime is enhanced due to its dependence on a dangerously irrelevant coupling that breaks the particle-hole symmetry and the invariance under Lorentz boosts of the quantum critical point. The thermal diffusivity (in units of the butterfly velocity) is anomalously large near the quantum critical point and is governed by tau(eq) rather than tau(p). We conjecture that there exists a long-lived, propagating collective mode with velocity v(s), and in this case the relation D = v(s)(2)tau(eq) holds exactly in the limit T tau(eq) >> 1. While scale invariance is broken, a generalized scaling theory still holds provided that the dependence of observables on the dangerously irrelevant coupling is incorporated. Our work further underlines the connection between dangerously irrelevant deformations and slow equilibration.

  • 9.
    Delacretaz, Luca, V
    et al.
    Stanford Univ, Dept Phys, Stanford, CA 94305 USA..
    Gouteraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Univ Paris Saclay, Ctr Theoret Phys, Ecole Polytech, CNRS UMR 7644, F-91128 Palaiseau, France.;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..
    Hartno, Sean A.
    Stanford Univ, Dept Phys, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, Stanford Inst Mat & Energy Sci, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
    Karlsson, Anna
    Princeton Univ Sch Nat Sci, Inst Adv Study, 1 Einstein Dr, Princeton, NJ 08540 USA.;Chalmers Univ Technol, Dept Phys, Div Theoret Phys, SE-41296 Gothenburg, Sweden..
    Theory of collective magnetophonon resonance and melting of a field-induced Wigner solid2019In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 100, no 8, article id 085140Article in journal (Refereed)
    Abstract [en]

    Electron solid phases of matter are revealed by characteristic vibrational resonances. Sufficiently large magnetic fields can overcome the effects of disorder, leading to a weakly pinned collective mode called the magnetophonon. Consequently, in this regime it is possible to develop a tightly constrained hydrodynamic theory of pinned magnetophonons. The behavior of the magnetophonon resonance across thermal and quantum melting transitions has been experimentally characterized in two-dimensional electron systems. Applying our theory to these transitions we explain several key features of the data. Firstly, violation of the Fukuyama-Lee sum rule as the transition is approached is shown to be a consequence of the non-Lorentzian form taken by the resonance. Secondly, this non-Lorentzian shape is shown to be caused by dissipative channels that become especially important close to melting: proliferating dislocations and uncondensed charge carriers.

  • 10. Delacretaz, Luca V.
    et al.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stanford University, United States.
    Hartnoll, Sean A.
    Karlsson, Anna
    Bad metals from fluctuating density waves2017In: SciPost Physics, ISSN 2542-4653, Vol. 3, no 3, article id UNSP 025Article in journal (Refereed)
    Abstract [en]

    Bad metals have a large resistivity without being strongly disordered. In many bad metals the Drude peak moves away from zero frequency as the resistivity becomes large at increasing temperatures. We catalogue the position and width of the ` displaced Drude peak' in the observed optical conductivity of several families of bad metals, showing that omega(peak) similar to Delta omega similar to k(B)T /(h) over bar. This is the same quantum critical timescale that underpins the T-linear dc resistivity of many of these materials. We provide a unified theoretical description of the optical and dc transport properties of bad metals in terms of the hydrodynamics of short range quantum critical fluctuations of incommensurate density wave order. Within hydrodynamics, pinned translational order is essential to obtain the nonzero frequency peak.

  • 11. Delacretaz, Luca V.
    et al.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stanford University, United States.
    Hartnoll, Sean A.
    Karlsson, Anna
    Theory of hydrodynamic transport in fluctuating electronic charge density wave states2017In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 96, no 19, article id 195128Article in journal (Refereed)
    Abstract [en]

    We describe the collective hydrodynamic motion of an incommensurate charge density wave state in a clean electronic system. Our description simultaneously incorporates the effects of both pinning due to weak disorder and also phase relaxation due to proliferating dislocations. We show that the interplay between these two phenomena has important consequences for charge and momentum transport. For instance, it can lead to metal-insulator transitions. We furthermore identify signatures of fluctuating density waves in frequency and spatially resolved conductivities. Phase disordering is well known to lead to a large viscosity. We derive a precise formula for the phase relaxation rate in terms of the viscosity in the dislocation cores. We thereby determine the viscosity of the superconducting state of BSCCO from the observed melting dynamics of Abrikosov lattices and show that the result is consistent with dissipation into Bogoliubov quasiparticles.

  • 12. Donos, Aristomenis
    et al.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm University, Stockholm, Sweden .
    Kiritsis, Elias
    Holographic metals and insulators with helical symmetry2014In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, p. 038-Article in journal (Refereed)
    Abstract [en]

    Homogeneous, zero temperature scaling solutions with Bianchi VII spatial geometry are constructed in Einstein-Maxwell-Dilaton theory. They correspond to quantum critical saddle points with helical symmetry at finite density. Assuming AdS(5) UV asymptotics, the small frequency/(temperature) dependence of the AC/(DC) electric conductivity along the director of the helix are computed. A large class of insulating and conducting anisotropic phases is found, as well as isotropic, metallic phases. Conduction can be dominated by dissipation due to weak breaking of translation symmetry or by a quantum critical current.

  • 13.
    Gouteraux, Blaise
    et al.
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stanford University, United States .
    Martin, Victoria L.
    Spectral weight and spatially modulated instabilities in holographic superfluids2017In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 5, article id 005Article in journal (Refereed)
    Abstract [en]

    Free fermions form a Fermi surface, which results in non-zero spectral weight at low energy and finite wavevector k(F). In this work, we find similar features in holographic phases dual to strongly coupled quantum superfluid matter. At zero temperature, the phases we consider exhibit semi-local criticality in the IR and all the charge is carried by the scalar condensate outside the black hole horizon. Depending on the value taken by the IR critical exponents, we find Fermi surfaces in the transverse sector, Fermi shells in the longitudinal sector or no spectral weight at all. When there is non-zero transverse spectral weight, the IR can be subject to an instability at finite wavevector, the endpoint of which is likely a spatially modulated phase.

  • 14.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Charge transport in holography with momentum dissipation2014In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, p. 181-Article in journal (Refereed)
    Abstract [en]

    In this work, we examine how charge is transported in a theory where momentum is relaxed by spatially dependent, massless scalars. We analyze the possible IR phases in terms of various scaling exponents and the (ir) relevance of operators in the IR effective holographic theory with a dilaton. We compute the (finite) resistivity and encounter broad families of (in) coherent metals and insulators, characterized by universal scaling behaviour. The optical conductivity at zero temperature and low frequencies exhibits power tails which can violate scaling symmetries, due to the running of the dilaton. At low temperatures, our model captures features of random-field disorder.

  • 15.
    Goutéraux, Blaise
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Universal scaling properties of extremal cohesive holographic phases2014In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2014, no 1, p. 080-Article in journal (Refereed)
    Abstract [en]

    We show that strongly-coupled, translation-invariant holographic IR phases at finite density can be classified according to the scaling behaviour of the metric, the electric potential and the electric flux introducing four critical exponents, independently of the details of the setup. Solutions fall into two classes, depending on whether they break relativistic symmetry or not. The critical exponents determine key properties of these phases, like thermodynamic stability, the (ir)relevant deformations around them, the low-frequency scaling of the optical conductivity and the nature of the spectrum for electric perturbations. We also study the scaling behaviour of the electric flux through bulk minimal surfaces using the Hartnoll-Radicevic order parameter, and characterize the deviation from the Ryu-Takayanagi prescription in terms of the criti cal exponents.

  • 16.
    Goutéraux, Blaise
    et al.
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.
    Jokela, Niko
    Univ Helsinki, Dept Phys, POB 64, FIN-00014 Helsinki, Finland.;Univ Helsinki, Helsinki Inst Phys, POB 64, FIN-00014 Helsinki, Finland..
    Ponni, Arttu
    Univ Helsinki, Dept Phys, POB 64, FIN-00014 Helsinki, Finland.;Univ Helsinki, Helsinki Inst Phys, POB 64, FIN-00014 Helsinki, Finland..
    Incoherent conductivity of holographic charge density waves2018In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, article id 004Article in journal (Refereed)
    Abstract [en]

    The DC resistivity of charge density waves weakly-pinned by disorder is controlled by diffusive, incoherent processes rather than slow momentum relaxation. The corresponding incoherent conductivity can be computed in the limit of zero disorder. We compute this transport coefficient in holographic spatially modulated breaking translations spontaneously. As a by-product of our analysis, we clarify how the boundary heat current is obtained from a conserved bulk current, de fined as a suitable generalization of the Iyer-Wald Noether current of the appropriate Killing vector.

  • 17.
    Goutéraux, Blaise
    et al.
    KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
    Kiritsis, E.
    Quantum critical lines in holographic phases with (un)broken symmetry2013In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, p. 053-Article in journal (Refereed)
    Abstract [en]

    All possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are distinguished from hyperscaling violating geometries where the scalar runs logarithmically. It is shown that the general critical saddle-point solutions are characterized by three critical exponents (theta, z, zeta). Both exact solutions as well as leading behaviors are exhibited. Using them, neutral or charged geometries realizing both fractionalized or cohesive phases are found. The generic global IR picture emerging is that of quantum critical lines, separated by quantum critical points which correspond to the scale invariant solutions with a constant scalar.

1 - 17 of 17
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