• Publications
  • Influence
Thermal Hall effect and geometry with torsion.
TLDR
A geometric framework that allows us to study momentum and energy transport in nonrelativistic systems and generalizes the classic Luttinger's formulation of thermal transport is formulated.
Entanglement Entropy in 2D non-abelian pure gauge theory
Abstract We compute the Entanglement Entropy (EE) of a bipartition in 2D pure non-abelian U ( N ) gauge theory. We obtain a general expression for EE on an arbitrary Riemann surface. We find that due
Electromagnetic and gravitational responses of two-dimensional noninteracting electrons in a background magnetic field
Recent interest to the Hall viscosity in the theory of Fractional Quantum Hall effect (FQHE) and the interest to the interplay of defects and mechanical stresses with electromagnetic properties of
Geometric defects in quantum Hall states
We describe a geometric (or gravitational) analogue of the Laughlin quasiholes in the fractional quantum Hall states. Analogously to the quasiholes these defects can be constructed by an insertion of
Synthetic Landau levels for photons
TLDR
This work realizes the Fock–Darwin Hamiltonian for photons in a magnetic field and harmonic trap, and opens the door to exploration of the interplay of geometry and topology, and in conjunction with Rydberg electromagnetically induced transparency, enables studies of photonic fractional quantum Hall fluids and direct detection of anyons.
Bimetric Theory of Fractional Quantum Hall States
We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states that describes the topological properties and a gapped collective excitation, known as
Framing anomaly in the effective theory of the fractional quantum Hall effect.
TLDR
It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory is essential to obtain the correct gravitational linear response functions in the lowest order in gradients.
Towards Classification of Fracton Phases: The Multipole Algebra
  • A. Gromov
  • Physics
    Physical Review X
  • 12 December 2018
We present an effective field theory approach to the Fracton phases. The approach is based the notion of a multipole algebra. It is an extension of space(-time) symmetries of a charge-conserving
Soliton solutions of a Calogero model in a harmonic potential
A classical Calogero model in an external harmonic potential is known to be integrable for any number of particles. We consider here reductions which play a role of the 'soliton' solutions of the
Chiral Topological Elasticity and Fracton Order.
  • A. Gromov
  • Physics, Medicine
    Physical review letters
  • 18 December 2017
TLDR
It is emphasized that the very structure of Riemann-Cartan geometry, which is used to formulate the theory, encodes some of the fracton phenomenology, suggesting that the Fracton order itself is geometric in nature.
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