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We study the zeta-regularized determinant of a non self-adjoint elliptic operator on a closed odd-dimensional manifold. We show that, if the spectrum of the operator is symmetric with respect to theâ€¦ (More)

We derive an effective action for Dirac fermions coupled to O(3) non-linear Ïƒ-model (NLÏƒM) through the Yukawa-type interaction. The nonperturbative (global) quantum anomaly of this model results in aâ€¦ (More)

- Andrey Gromov, Alexander G. Abanov
- Physical review letters
- 2014

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 betweenâ€¦ (More)

We develop a hydrodynamic description of the classical Calogero-Sutherland liquid: a Calogero-Sutherland model with an infinite number of particles and a non-vanishing density of particles. Theâ€¦ (More)

- Alexander G. Abanov, Paul B. Wiegmann
- Physical review letters
- 2005

Collective field theory for the Calogero model represents particles with fractional statistics in terms of hydrodynamic modes--density and velocity fields. We show that the quantum hydrodynamics ofâ€¦ (More)

- Eldad Bettelheim, Alexander G. Abanov, Paul B. Wiegmann
- Physical review letters
- 2006

A semiclassical wave packet propagating in a dissipationless Fermi gas inevitably enters a "gradient catastrophe" regime, where an initially smooth front develops large gradients and undergoes aâ€¦ (More)

- Andrey Gromov, Alexander G. Abanov
- Physical review letters
- 2015

We formulate a geometric framework that allows us to study momentum and energy transport in nonrelativistic systems. It amounts to a coupling of the nonrelativistic system to the Newton-Cartan (NC)â€¦ (More)

- Andrey Gromov, Gil Young Cho, Yizhi You, Alexander G. Abanov, Eduardo Fradkin
- Physical review letters
- 2015

We consider the geometric part of the effective action for the fractional quantum Hall effect (FQHE). It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory isâ€¦ (More)

- Alexander G. Abanov, Dmitri A. Ivanov
- Physical review letters
- 2008

We derive constraints on the statistics of the charge transfer between two conductors in the model of arbitrary time-dependent instant scattering of noninteracting fermions at zero temperature. Theâ€¦ (More)

- James Joseph, John E. Thomas, Medinee Kulkarni, Alexander G. Abanov
- Physical review letters
- 2011

We study collisions between two strongly interacting atomic Fermi gas clouds. We observe exotic nonlinear hydrodynamic behavior, distinguished by the formation of a very sharp and stable density peakâ€¦ (More)