Density-curvature response and gravitational anomaly

Andrey Gromov; Alexander G. Abanov

doi:10.1103/PhysRevLett.113.266802

Density-curvature response and gravitational anomaly

Andrey Gromov
, Alexander G. Abanov

Physics and Astronomy

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in a background magnetic field. Exact relations between response functions following from the Ward identities are derived. In addition to the viscosity-conductivity relations known in the literature, we find new relations between the density-curvature response and the thermal Hall response.

Original language	English
Article number	266802
Journal	Physical Review Letters
Volume	113
Issue number	26
DOIs	https://doi.org/10.1103/PhysRevLett.113.266802
State	Published - Dec 22 2014

Access to Document

10.1103/PhysRevLett.113.266802

Cite this

@article{0588c2979d4c4876bd9bef7dea749af6,

title = "Density-curvature response and gravitational anomaly",

abstract = "We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in a background magnetic field. Exact relations between response functions following from the Ward identities are derived. In addition to the viscosity-conductivity relations known in the literature, we find new relations between the density-curvature response and the thermal Hall response.",

author = "Andrey Gromov and Abanov, \{Alexander G.\}",

note = "Publisher Copyright: {\textcopyright} 2014 American Physical Society.",

year = "2014",

month = dec,

day = "22",

doi = "10.1103/PhysRevLett.113.266802",

language = "English",

volume = "113",

journal = "Physical Review Letters",

issn = "0031-9007",

number = "26",

}

TY - JOUR

T1 - Density-curvature response and gravitational anomaly

AU - Gromov, Andrey

AU - Abanov, Alexander G.

PY - 2014/12/22

Y1 - 2014/12/22

N2 - We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in a background magnetic field. Exact relations between response functions following from the Ward identities are derived. In addition to the viscosity-conductivity relations known in the literature, we find new relations between the density-curvature response and the thermal Hall response.

AB - We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in a background magnetic field. Exact relations between response functions following from the Ward identities are derived. In addition to the viscosity-conductivity relations known in the literature, we find new relations between the density-curvature response and the thermal Hall response.

UR - https://www.scopus.com/pages/publications/84919935872

U2 - 10.1103/PhysRevLett.113.266802

DO - 10.1103/PhysRevLett.113.266802

M3 - Article

SN - 0031-9007

VL - 113

JO - Physical Review Letters

JF - Physical Review Letters

IS - 26

M1 - 266802

ER -

Density-curvature response and gravitational anomaly

Abstract

Access to Document

Other files and links

Fingerprint

Cite this