47 citations · 121 across the 19 of their papers we have counts for
22 papers · 1 filter
Breakdown of the Migdal-Eliashberg theory for electron-phonon systems. Role of polarons/bi-polarons
Andrey Chubukov, Ilya Esterlis, Artem Abanov +1
The Migdal-Eliashberg theory (MET) describes electrons interacting with phonons in the adiabatic limit when the phonon Debye frequency is much smaller than the Fermi energy. A conv…
Limits of validity for Migdal-Eliashberg theory: role of polarons/bi-polarons
Nikolay Prokof'ev, Ilya Esterlis, Artem Abanov +1
It is widely believed that in an adiabatic limit a Fermi liquid state of an electron-phonon system described by Migdal-Eliashberg theory remains stable before a dressed phonon soft…
Superconductivity near two-dimensional Van Hove singularities: a determinant quantum Monte Carlo study
Gustav Romare, Daniel Shaffer, Alex Levchenko +2
The superconducting transition temperature of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-…
Spin-triplet paired Wigner crystal stabilized by quantum geometry
Dmitry Zverevich, Alex Levchenko, Ilya Esterlis
We have used variational states to analyze the effects of band geometry on the two-dimensional Wigner crystal with one and two electrons per unit cell. At sufficiently low electron…
Electronic crystals in layered materials
You Zhou, Ilya Esterlis, Tomasz Smoleński
In modern two-dimensional (2D) materials, such as graphene-based systems and atomically-thin transition-metal dichalcogenides, the interplay of strong electronic correlations, tuna…
Quantum Critical Eliashberg Theory
Ilya Esterlis, Joerg Schmalian
Quantum criticality plays a central role in understanding non-Fermi liquid behavior and unconventional superconductivity in strongly correlated systems. In this review, we explore…