Luis E. Oxman

Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid

We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a two-dimensional Fermi fluid to a nematic state which breaks spontaneously the rotational invariance of the Fermi liquid. We show that higher dimensional bosonization reproduces the quantum critical behavior expected from the Hertz-Millis analysis, and verify that this theory has dynamic critical exponent

Universal Transverse Conductance between Quantum Hall Regions and (2 + 1)D Bosonization

z=3

Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory

. Going beyond this framework, we study the behavior of the fermion degrees of freedom directly, and show that at quantum criticality as well as in the quantum nematic phase (except along a set of measure zero of symmetry-dictated directions) the quasiparticles of the normal Fermi liquid are generally wiped out. Instead, they exhibit short-ranged spatial correlations that decay faster than any power law, with the law

Transport in finite incommensurate Peierls-Fröhlich systems

\ensuremath{\mid}x{\ensuremath{\mid}}^{\ensuremath{-}1}\mathrm{exp}(\ensuremath{-}\mathrm{const}\phantom{\rule{0.3em}{0ex}}\ensuremath{\mid}x{\ensuremath{\mid}}^{1∕3})

Diagonal deformations of thin center vortices and their stability in Yang-Mills theories

and we verify explicitly the vanishing of the fermion residue utilizing this expression. In contrast, the fermion autocorrelation function has the behavior

Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases

\ensuremath{\mid}t{\ensuremath{\mid}}^{\ensuremath{-}1}\mathrm{exp}(\ensuremath{-}\mathrm{const}\phantom{\rule{0.3em}{0ex}}\ensuremath{\mid}t{\ensuremath{\mid}}^{\ensuremath{-}2∕3})

Non Abelian structures and the geometric phase of entangled qudits

. In this regime we also find that, at low frequency, the single-particle fermion density of states behaves as

How to get rid of Dirac worldsheets in the Cho–Faddeev–Niemi representation of SU(2) Yang–Mills theory

{N}^{*}(\ensuremath{\omega})={N}^{*}(0)+B{\ensuremath{\omega}}^{2∕3}\mathrm{ln}\ensuremath{\omega}+\ensuremath{\cdots}

String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model

, where

SU(N) → Z(N) dual superconductor models: the magnetic loop ensemble point of view

{N}^{*}(0)