Eugene B. Kolomeisky

Phase diagram of one-dimensional driven lattice gases with open boundaries

We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one- dimensional lattice. The long-term system dynamics, stationary states, and the nature of phase transitions between steady states can be understood in terms of the interplay of two characteristic velocities, the collective velocity and the shock (domain wall) velocity. This interplay results in two distinct types of domain walls whose dynamics is computed. We conclude that the phase diagram of the ASEP is generic for one-component driven lattice gases with a single maximum in the current-density relation.

Low-Dimensional Bose Liquids: Beyond the Gross-Pitaevskii Approximation

The Gross-Pitaevskii approximation is a long-wavelength theory widely used to describe a variety of properties of dilute Bose condensates, in particular trapped alkali gases. We point out that for short-ranged repulsive interactions this theory fails in dimensions

Weyl problem and Casimir effects in spherical shell geometry

d\ensuremath{\le}2

Kolomeisky, Newman, Straley, and Qi Reply:

, and we propose the appropriate low-dimensional modifications, which have a universal form. For

Space charge and screening in bilayer graphene

d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1

Fermion space charge in narrow band-gap semiconductors, Weyl semimetals, and around highly charged nuclei

we analyze density profiles in confining potentials, superfluid properties, solitons, and self-similar solutions.

Quantum fluctuations of charge and phase transitions of a large Coulomb-blockaded quantum dot

We compute the generic mode sum that quantifies the effect on the spectrum of a harmonic field when a spherical shell is inserted into vacuum. This encompasses a variety of problems including the Weyl spectral problem and the Casimir effect of quantum electrodynamics. This allows us to resolve several long-standing controversies regarding the question of universality of the Casimir self-energy; the resolution comes naturally through the connection to the Weyl problem. Specifically we demonstrate that in the case of a scalar field obeying Dirichlet or Neumann boundary conditions on the shell surface the Casimir self-energy is cutoff-dependent while in the case of the electromagnetic field perturbed by a conductive shell the Casimir self-energy is universal. We additionally show that an analog non-relativistic Casimir effect due to zero-point magnons takes place when a non-magnetic spherical shell is inserted inside a bulk ferromagnet.

Screening and plasma oscillations in an electron gas in the hydrodynamic approximation

The Gross-Pitaevskii approximation is a long-wavelength theory widely used to describe a variety of properties of dilute Bose condensates, in particular trapped alkali gases. We point out that for short-ranged repulsive interactions this theory fails in dimensions d</=2, and we propose the appropriate low-dimensional modifications, which have a universal form. For d = 1 we analyze density profiles in confining potentials, superfluid properties, solitons, and self-similar solutions.

Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law

Undoped bilayer graphene is a two-dimensional semimetal with a low-energy excitation spectrum that is parabolic in the momentum. As a result, the screening of an arbitrary external charge Ze is accompanied by a reconstruction of the ground state: valence band electrons (for Z  >  0) are promoted to form a space charge around the charge while the holes leave the physical picture. The outcome is a flat neutral object resembling the regular atom except that for [Formula: see text] it is described by a strictly linear Thomas-Fermi theory. This theory also predicts that the bilayers static dielectric constant is the same as that of a two-dimensional electron gas in the long-wavelength limit.

Optimal number of terms in QED series and its consequence in condensed matter implementations of QED

The field of charged impurities in narrow-band gap semiconductors and Weyl semimetals can create electron-hole pairs when the total charge