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119 papers
Quantization of the higher Berry curvature and the higher Thouless pump
Adam Artymowicz, Anton Kapustin, Nikita Sopenko
We show that for families of 1d lattice systems in an invertible phase, the cohomology class of the higher Berry curvature can be refined to an integral degree-3 class on the param…
Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
Anton Kapustin, Lev Spodyneiko
We study the possibility of spontaneous symmetry breaking in systems with both charge and dipole symmetries. For -dimensional systems at a positive temperature, we show that cha…
The Universal Time-Dependent Ginzburg-Landau theory
Anton Kapustin, Luke Mrini
We study the hydrodynamics of superconductors within the framework of Schwinger-Keldysh Effective Field Theory. We show that in the vicinity of the superconducting phase transition…
Piezo-superconductivity: new effects in non-centrosymmetric superconductors
Anton Kapustin, Leo Radzihovsky
We study novel effects in non-centrosymmetric superconductors arising from their unique coupling of Cooper-pair condensate and elasticity. We show that although the much discussed…
Local Noether theorem for quantum lattice systems and topological invariants of gapped states
Anton Kapustin, Nikita Sopenko
We study generalizations of the Berry phase for quantum lattice systems in arbitrary dimensions. For a smooth family of gapped ground states in d dimensions, we define a closed (d+…
Microscopic formulas for thermoelectric transport coefficients in lattice systems
Anton Kapustin, Lev Spodyneiko
A macroscopic description of thermoelectric phenomena involves several tensorial transport coefficients. Textbook microscopic Kubo formulas for them are plagued with ambiguities in…