Chiral symmetry restoration in(2+1)-dimensional QED with a Maxwell-Chern-Simons term at finite temperature

Abstract

We study the role played by a Chern-Simons contribution to the action in the QED 3 formulation of a two-dimensional Heisenberg model of quantum spin systems with a strictly fixed site occupation at finite temperature. We show how this contribution affects the screening of the potential that acts between spinons and contributes to the restoration of chiral symmetry in the spinon sector. The constant that characterizes the Chern-Simons term can be related to the critical temperature T c above which the dynamical mass goes to zero.

QED3 at finite temperature and density

“…Examples include applications to high T c superconductors, where the relevant dynamics is thought to be isolated to copper-oxygen planes in the cuprate [3]. It is also considered as a gauge formulation of the ð2 þ 1Þ-dimensional Heisenberg spin model [4] and a possible model for graphene [5] or spin ice [6].…”

Interacting potential between spinons in the compact QED3 description of the Heisenberg model

“…Here we assumed that χ cl is sufficiently small so that cos χ cl ∝ 1 − 1 2 χ 2 cl leading to equation (12). The introduction of χ cl (k) into (10) leads to…”

Vacuum polarization of generalized quantum electrodynamics in the Heisenberg picture

“…The recent advances suggest as a qualitative explanation for the mechanism generating the formation of cooper pair in high-T c superconductors [2]. Other notable examples are the prominent features of the fractional quantum Hall effect [3], the Heisenberg model of quantum spin [4], the quantum simulator of cold atoms [5], and the band structure of graphene [6]. Furthermore, we also consider as a toy model to explore dynamical chiral symmetry breaking in quantum chromodynamics (QCD) [7].…”