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Langmann, Edwinorcid.org/0000-0001-7481-2245

Open this publication in new window or tab >>Diffusive Heat Waves in Random Conformal Field Theory### Langmann, Edwin

### Moosavi, Per

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_some",{id:"formSmash:j_idt184:0:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_otherAuthors",{id:"formSmash:j_idt184:0:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 122, no 2, article id 020201Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

AMER PHYSICAL SOC, 2019
##### National Category

Condensed Matter Physics
##### Identifiers

urn:nbn:se:kth:diva-243955 (URN)10.1103/PhysRevLett.122.020201 (DOI)000456041800001 ()30720322 (PubMedID)2-s2.0-85060652301 (Scopus ID)
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##### Funder

Swedish Research Council, 2016-05167
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain static random impurities. We present exact analytical results that elucidate how purely ballistic heat waves in standard CFT can acquire normal and anomalous diffusive contributions due to our impurities. Our results include impurity-averaged Green's functions describing the time evolution of the energy density and the heat current, and an explicit formula for the thermal conductivity that, in addition to a universal Drude peak, has a nontrivial real regular contribution that depends on details of the impurities.

QC 20190304

Available from: 2019-03-04 Created: 2019-03-04 Last updated: 2019-06-26Bibliographically approvedOpen this publication in new window or tab >>Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators### Farrokh, Atai

### Hallnas, Martin

### Langmann, Edwin

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_some",{id:"formSmash:j_idt184:1:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_otherAuthors",{id:"formSmash:j_idt184:1:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Bulletin of the London Mathematical Society, ISSN 0024-6093, E-ISSN 1469-2120, Vol. 51, no 2, p. 353-370Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Natural Sciences
##### Research subject

Mathematics; Physics
##### Identifiers

urn:nbn:se:kth:diva-249098 (URN)10.1112/blms.12234 (DOI)000462907600013 ()
#####

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##### Funder

Swedish Research Council, 2016-05167Stiftelsen Olle Engkvist Byggmästare, 184-0573
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics. KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

We prove orthogonality and compute explicitly the (quadratic) norms for super-Jack polynomials SP lambda((z1, horizontal ellipsis ,zn),(w1, horizontal ellipsis ,wm);theta) with respect to a natural positive semi-definite, but degenerate, Hermitian product ⟨center dot,center dot⟩n,m,theta '. In case m=0 (or n=0), our product reduces to Macdonald's well-known inner product ⟨center dot,center dot⟩n,theta ', and we recover his corresponding orthogonality results for the Jack polynomials P lambda((z1, horizontal ellipsis ,zn);theta). From our main results, we readily infer that the kernel of ⟨center dot,center dot⟩n,m,theta ' is spanned by the super-Jack polynomials indexed by a partition lambda not containing the mxn rectangle (mn). As an application, we provide a Hilbert space interpretation of the deformed trigonometric Calogero-Moser-Sutherland operators of type A(n-1,m-1).

QC 20190424

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-04-24Bibliographically approvedOpen this publication in new window or tab >>The BCS critical temperature in a weak homogeneous magnetic field### Frank, Rupert L.

### Hainzl, Christian

### Langmann, Edwin

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_some",{id:"formSmash:j_idt184:2:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_otherAuthors",{id:"formSmash:j_idt184:2:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403Article in journal (Refereed) In press
##### Abstract [en]

##### Keywords

Superconductivity, BCS theory, magnetic field
##### National Category

Natural Sciences
##### Research subject

Mathematics; Physics
##### Identifiers

urn:nbn:se:kth:diva-249107 (URN)10.4171/JST/270 (DOI)
#####

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##### Funder

Swedish Research Council, VR2016-05167Stiftelsen Olle Engkvist Byggmästare, 184-0573
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

We show that, within a linear approximation of BCS theory, a weak homogeneous magnetic field lowers the critical temperature by an explicit constant times the field strength, up to higher order terms. This provides a rigorous derivation and generalization of results obtained in the physics literature fromWHH theory of the upper critical magnetic field. A new ingredient in our proof is a rigorous phase approximation to control the effects of the magnetic field.

QC 20190521

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-21Bibliographically approvedOpen this publication in new window or tab >>Ubiquity of superconducting domes in Bardeen-Cooper-Schrieffer theory with finite-range potentials### Langmann, Edwin

### Triola, Christopher

### Balatsky, Alexander V.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_some",{id:"formSmash:j_idt184:3:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_otherAuthors",{id:"formSmash:j_idt184:3:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114Article in journal (Refereed) In press
##### Abstract [en]

##### National Category

Condensed Matter Physics
##### Research subject

Physics; Mathematics
##### Identifiers

urn:nbn:se:kth:diva-249115 (URN)000465182200011 ()2-s2.0-85064819657 (Scopus ID)
#####

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##### Funder

Swedish Research Council, 2016-05167
##### Note

KTH, School of Engineering Sciences (SCI), Physics.

KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.

Based on recent progress in mathematical physics, we present a reliable method to analytically solve the linearized BCS gap equation for a large class of finite-range interaction potentials leading to s-wave superconductivity. With this analysis, we demonstrate that the monotonic growth of the superconducting critical temperature Tc with the carrier density, n, predicted by standard BCS theory, is an artifact of the simplifying assumption that the interaction is quasi-local. In contrast, we show that any well-defined non-local potential leads to a "superconducting dome", i.e. a non-monotonic Tc(n) exhibiting a maximum value at finite doping and going to zero for large n. This proves that, contrary to conventional wisdom, the presence of a superconducting dome is not necessarily an indication of competing orders, nor of exotic superconductivity. Our results provide a prototype example and guide towards improving ab-initio predictions of Tc for real materials.

QC 20190521

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-22Bibliographically approvedOpen this publication in new window or tab >>Ubiquity of Superconducting Domes in the Bardeen-Cooper-Schrieffer Theory with Finite-Range Potentials### Langmann, Edwin

### Triola, C.

### Balatsky, Alexander V.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_some",{id:"formSmash:j_idt184:4:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_otherAuthors",{id:"formSmash:j_idt184:4:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 122, no 15, article id 157001Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

American Physical Society, 2019
##### Keywords

Shear waves, Bardeen-Cooper-Schrieffer, Bardeen-Cooper-Schrieffer theory, Interaction potentials, Mathematical physics, Monotonic growth, Nonlocal potentials, Simplifying assumptions, Superconducting critical temperatures, Domes
##### National Category

Mathematical Analysis
##### Identifiers

urn:nbn:se:kth:diva-255910 (URN)10.1103/PhysRevLett.122.157001 (DOI)2-s2.0-85064819657 (Scopus ID)
#####

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##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics. KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA.

Based on recent progress in mathematical physics, we present a reliable method to analytically solve the linearized Bardeen-Cooper-Schrieffer (BCS) gap equation for a large class of finite-range interaction potentials leading to s-wave superconductivity. With this analysis, we demonstrate that the monotonic growth of the superconducting critical temperature Tc with the carrier density n predicted by standard BCS theory, is an artifact of the simplifying assumption that the interaction is quasilocal. In contrast, we show that any well-defined nonlocal potential leads to a "superconducting dome," i.e., a nonmonotonic Tc(n) exhibiting a maximum value at finite doping and going to zero for large n. This proves that, contrary to conventional wisdom, the presence of a superconducting dome is not necessarily an indication of competing orders, nor of exotic superconductivity.

QC 20190822

Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-08-22Bibliographically approvedOpen this publication in new window or tab >>Finite-Time Universality in Nonequilibrium CFT### Langmann, Edwin

### Moosavi, Per

### Gawȩdzki, Krzysztof

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_some",{id:"formSmash:j_idt184:5:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_otherAuthors",{id:"formSmash:j_idt184:5:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 172, no 2, p. 353-378Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Springer, 2018
##### Keywords

Nonequilibrium dynamics, Conformal field theory, Heat and charge transport, Luttinger model
##### National Category

Condensed Matter Physics
##### Identifiers

urn:nbn:se:kth:diva-232397 (URN)10.1007/s10955-018-2025-x (DOI)000437829200004 ()2-s2.0-85044457468 (Scopus ID)
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##### Funder

Swedish Research Council, 2016-05167
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory. Univ Claude Bernard, Univ Lyon, ENS Lyon, CNRS,Lab Phys, F-69342 Lyon, France..

KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

Ecole Normale Supérieure de Lyon, Lyon, France.

Recently, remarkably simple exact results were presented about the dynamics of heat transport in the local Luttinger model for nonequilibrium initial states defined by position-dependent temperature profiles. We present mathematical details on how these results were obtained. We also give an alternative derivation using only algebraic relations involving the energy-momentum tensor which hold true in any unitary conformal field theory (CFT). This establishes a simple universal correspondence between initial temperature profiles and the resulting heat-wave propagation in CFT. We extend these results to larger classes of nonequilibrium states. It is proposed that such universal CFT relations provide benchmarks to identify nonuniversal properties of nonequilibrium dynamics in other models.

QC 20180726

Available from: 2018-07-26 Created: 2018-07-26 Last updated: 2019-05-20Bibliographically approvedOpen this publication in new window or tab >>Series Solutions of the Non-Stationary Heun Equation### Atai, Farrokh

### Langmann, Edwin

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_otherAuthors",{id:"formSmash:j_idt184:6:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: SIGMA. Symmetry, Integrability and Geometry, ISSN 1815-0659, E-ISSN 1815-0659, Vol. 14, article id 011Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

NATL ACAD SCI UKRAINE, INST MATH, 2018
##### Keywords

Heun equation, Lame equation, Kernel functions, quantum Painleve VI, perturbation theory
##### National Category

Physical Sciences
##### Identifiers

urn:nbn:se:kth:diva-224070 (URN)10.3842/SIGMA.2018.011 (DOI)000425364200001 ()2-s2.0-85045072982 (Scopus ID)
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##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics.

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics.

We consider the non-stationary Heun equation, also known as quantum Painleve VI, which has appeared in different works on quantum integrable models and conformal field theory. We use a generalized kernel function identity to transform the problem to solve this equation into a differential-difference equation which, as we show, can be solved by efficient recursive algorithms. We thus obtain series representations of solutions which provide elliptic generalizations of the Jacobi polynomials. These series reproduce, in a limiting case, a perturbative solution of the Heun equation due to Takemura, but our method is different in that we expand in non-conventional basis functions that allow us to obtain explicit formulas to all orders; in particular, for special parameter values, our series reduce to a single term.

QC 20180314

Available from: 2018-03-14 Created: 2018-03-14 Last updated: 2018-03-14Bibliographically approvedOpen this publication in new window or tab >>Time evolution of the Luttinger model with nonuniform temperature profile### Langmann, Edwin

### Lebowitz, Joel L.

### Mastropietro, Vieri

### Moosavi, Per

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_some",{id:"formSmash:j_idt184:7:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_otherAuthors",{id:"formSmash:j_idt184:7:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_otherAuthors",multiple:true}); 2017 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 95, no 23, article id 235142Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

American Physical Society, 2017
##### National Category

Physical Sciences
##### Identifiers

urn:nbn:se:kth:diva-211012 (URN)10.1103/PhysRevB.95.235142 (DOI)000404018700002 ()2-s2.0-85024365790 (Scopus ID)
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##### Funder

Swedish Research Council, 2016-05167
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics.

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics.

We study the time evolution of a one-dimensional interacting fermion system described by the Luttinger model starting from a nonequilibrium state defined by a smooth temperature profile T (x). As a specific example we consider the case when T (x) is equal to T-L (T-R) far to the left (right). Using a series expansion in epsilon = 2(T-R -T-L)/(T-L + T-R), we compute the energy density, the heat current density, and the fermion two-point correlation function for all times t >= 0. For local (delta-function) interactions, the first two are computed to all orders, giving simple exact expressions involving the Schwarzian derivative of the integral of T (x). For nonlocal interactions, breaking scale invariance, we compute the nonequilibrium steady state (NESS) to all orders and the evolution to first order in epsilon. The heat current in the NESS is universal even when conformal invariance is broken by the interactions, and its dependence on T-L,T-R agrees with numerical results for the XXZ spin chain. Moreover, our analytical formulas predict peaks at short times in the transition region between different temperatures and show dispersion effects that, even if nonuniversal, are qualitatively similar to ones observed in numerical simulations for related models, such as spin chains and interacting lattice fermions.

QC 20170712

Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2018-11-20Bibliographically approvedOpen this publication in new window or tab >>Exactly solvable models for 2D correlated fermions### Langmann, Edwin

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_some",{id:"formSmash:j_idt184:8:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_otherAuthors",{id:"formSmash:j_idt184:8:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_otherAuthors",multiple:true}); 2004 (English)In: Journal of Physics A: Mathematical and General, Vol. 37, no 2, p. 407-423Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Condensed Matter Physics
##### Research subject

Physics; Mathematics
##### Identifiers

urn:nbn:se:kth:diva-249119 (URN)10.1088/0305-4470/37/2/010 (DOI)000188801800011 ()2-s2.0-0742288608 (Scopus ID)
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##### Funder

Swedish Research Council
##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics.

I discuss many-body models for correlated fermions in two space dimensions which can be solved exactly using group theory. The simplest example is a model of a quantum Hall system: two-dimensional (2D) fermions in a constant magnetic field and a particular non-local four-point interaction. It is exactly solvable due to a dynamical symmetry corresponding to the Lie algebra gl∞ ⊕ gl∞. There is an algorithm to construct all energy eigenvalues and eigenfunctions of this model. The latter are, in general, many-body states with spatial correlations. The model also has a non-trivial zero temperature phase diagram. I point out that this QH model can be obtained from a more realistic one using a truncation procedure generalizing a similar one leading to mean field theory. Applying this truncation procedure to other 2D fermion models I obtain various simplified models of increasing complexity which generalize mean field theory by taking into account non-trivial correlations but nevertheless are treatable by exact methods.

QC 20190515

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-15Bibliographically approvedOpen this publication in new window or tab >>Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories### Langmann, Edwin

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_some",{id:"formSmash:j_idt184:9:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_otherAuthors",{id:"formSmash:j_idt184:9:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_otherAuthors",multiple:true}); 1999 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 563, p. 506-532Article in journal (Refereed) Published
##### National Category

Other Physics Topics
##### Research subject

Mathematics; Physics
##### Identifiers

urn:nbn:se:kth:diva-249135 (URN)10.1016/S0550-3213(99)00550-7 (DOI)
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt371",{id:"formSmash:j_idt184:9:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt371",multiple:true});
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##### Note

KTH, School of Engineering Sciences (SCI), Physics, Mathematical Physics. KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.

QC 20190515

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-15Bibliographically approved