30 citations · 67 across the 5 of their papers we have counts for
5 papers
Luttinger's Theorem Violation and Green's Function Topological Invariants in a Fractional Chern Insulator
Anton A. Markov, Andrey M. Nikishin, Nigel R. Cooper +2
Luttinger's theorem constrains the particle density of interacting fermions through global properties of the single-particle Green's function, and its violation signals a breakdown…
Locality of topological dynamics in Chern insulators
A. A. Markov, D. B. Golovanova, A. R. Yavorsky +1
A system having macroscopic patches in different topological phases have no well-defined global topological invariant. To treat such a case, the quantities labeling different areas…
Dynamical Quantum Phase Transition Without An Order Parameter
O. N. Kuliashov, A. A. Markov, A. N. Rubtsov
Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulat…
Local marker for interacting topological insulators
Anton Markov, Alexey Rubtsov
Topological states of matter were first introduced for non-interacting fermions on an infinite uniform lattice. Since then, substantial effort has been made to generalize these con…
Fate of a topological invariant for correlated lattice electrons at finite temperature
A. A. Markov, G. Rohringer, A. N. Rubtsov
Electrons on a two-dimensional (2) lattice which is exposed to a strong uniform magnetic field show intriguing physical phenomena. The spectrum of such systems exhibits a comple…