Daniel G. Barci

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

Topological and universal aspects of bosonized interacting fermionic systems in 2+1 dimensions

z=3

Orientational order in two dimensions from competing interactions at different scales

. 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

Theory of the quantum Hall Smectic Phase. I. Low-energy properties of the quantum Hall smectic fixed point

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

Theory of the Quantum Hall Smectic Phase, II: Microscopic Theory

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

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

\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})

Competing interactions, the renormalization group, and the isotropic-nematic phase transition.

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

Three-dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions

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

Dynamical symmetries of Markov processes with multiplicative white noise

, where

Nonlinear inhomogeneous Fokker-Planck equation within a generalized Stratonovich prescription

{N}^{*}(0)