2 citations · 2 across the 1 of their papers we have counts for
8 papers
Nernst and Ettingshausen effects in gapped quantum materials
Michael Levin, Anton Kapustin, Lev Spodyneiko
We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low temperatures. We give both macrosc…
Higher-dimensional generalizations of the Thouless charge pump
Anton Kapustin, Lev Spodyneiko
We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension . We show how to attach a topological invariant to a -dimensional family of…
Higher-dimensional generalizations of the Berry curvature
Anton Kapustin, Lev Spodyneiko
A family of finite-dimensional quantum systems with a non-degenerate ground state gives rise to a closed 2-form on the parameter space: the curvature of the Berry connection. Its c…
Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems
Anton Kapustin, Lev Spodyneiko
We derive a Kubo-like formula for the thermal Hall conductance of a 2d lattice systems which is free from ambiguities associated with the definition of energy magnetization. We use…
Absence of energy currents in an equilibrium state and chiral anomalies
Anton Kapustin, Lev Spodyneiko
A long time ago F. Bloch showed that in a system of interacting non-relativistic particles the net particle-number current must vanish in any equilibrium state. Bloch's argument do…
De Sitter Space and the Swampland
Georges Obied, Hirosi Ooguri, Lev Spodyneiko +1
It has been notoriously difficult to construct a meta-stable de Sitter (dS) vacuum in string theory in a controlled approximation. This suggests the possibility that meta-stable dS…