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Bipartite fluctuations and topology of Dirac and Weyl systems
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.
Univ Paris Saclay, Ctr Phys Theor, CNRS, Ecole Polytech, F-91128 Palaiseau, France..
Univ Paris Diderot, Univ Pierre & Marie Curie, Ecole Normale Super,PSL Res Univ, Lab Pierre Aigrain,Sorbonne Paris Cite,Sorbonne U, 24 Rue Lhomond, F-75231 Paris 05, France..
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, no 7, article id 075133Article in journal (Refereed) Published
Abstract [en]

Bipartite fluctuations can provide interesting information about entanglement properties and correlations in many-body quantum systems. We address such fluctuations in relation with the topology of Dirac and Weyl quantum systems, in situations where the relevant particle number is not conserved, leading to additional volume laws scaling with the quantum Fisher information. In the case of the p + ip superconductor, we build a relation between charge fluctuations and the associated winding numbers of Dirac cones in the low-energy sector. Topological aspects of the Hamiltonian in the vicinity of these points induce long-range entanglement in real space. We specifically extract analytical expressions for the corner contributions to bipartite fluctuations. We highlight their differences and similarities with the corner functions of the entanglement entropy which characterize the underlying conformal field theory. We provide a detailed analysis of such fluctuation properties, including the role of gap anisotropy, and discuss higher-dimensional Weyl analogs.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 99, no 7, article id 075133
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-246265DOI: 10.1103/PhysRevB.99.075133ISI: 000459224100001Scopus ID: 2-s2.0-85061992664OAI: oai:DiVA.org:kth-246265DiVA, id: diva2:1299270
Note

QC 20190326

Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-04-04Bibliographically approved

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Herviou, Loic

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