Quantum phase transitions

S Sachdev - Physics world, 1999 - iopscience.iop.org
NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

Quantum critical behavior in itinerant electron systems: Eliashberg theory and instability of a ferromagnetic quantum critical point

J Rech, C Pépin, AV Chubukov - Physical Review B—Condensed Matter and …, 2006 - APS
We consider the problem of fermions interacting with gapless long-wavelength collective
bosonic modes. The theory describes, among other cases, a ferromagnetic quantum-critical …

Nonanalytic behavior of the spin susceptibility in clean Fermi systems

D Belitz, TR Kirkpatrick, T Vojta - Physical Review B, 1997 - APS
The wave vector and temperature-dependent static spin susceptibility, χ s (Q, T), of clean
interacting Fermi systems is considered in dimensions 1⩽ d⩽ 3. We show that at zero …

Lowest-Landau-level theory of the quantum Hall effect: The Fermi-liquid-like state of bosons at filling factor one

N Read - Physical Review B, 1998 - APS
A theory for a Fermi-liquid-like state in a system of charged bosons at filling factor 1 is
developed, working in the lowest Landau level. The approach is based on a representation …

An introduction to bosonization

D Sénéchal - Theoretical Methods for Strongly Correlated Electrons, 2004 - Springer
After general comments on the relevance of field theory to condensed matter systems, the
continuum description of interacting electrons in 1D is summarized. The bosonization …

Fermi systems with strong forward scattering

W Metzner, C Castellani, C Di Castro - Advances in Physics, 1998 - Taylor & Francis
We review the theory of interacting Fermi systems whose low-energy physics is dominated
by forward scattering, that is scattering processes generated by effective interactions with …

Towards a field theory of fractional quantum Hall states

R Shankar, G Murthy - Physical review letters, 1997 - APS
Abstract We present a Chern-Simons theory of the fractional quantum Hall effect in which
flux attachment is followed by a transformation that effectively attaches the correlation holes …

Quantum Boltzmann equation of composite fermions interacting with a gauge field

YB Kim, PA Lee, XG Wen - Physical Review B, 1995 - APS
We derive the quantum Boltzmann equation (QBE) of composite fermions at/near the ν= 1/2
state using the nonequilibrium Green's-function technique. The lowest-order perturbative …

[BOOK][B] Bosonization of interacting fermions in arbitrary dimensions

P Kopietz - 1997 - books.google.com
The author presents in detail a new non-perturbative approach to the fermionic many-body
problem, improving the bosonization technique and generalizing it to dimensions d1 via …

Parquet solution for a flat Fermi surface

AT Zheleznyak, VM Yakovenko, IE Dzyaloshinskii - Physical Review B, 1997 - APS
We study instabilities occurring in the electron system whose Fermi surface has flat regions
on its opposite sides. Such a Fermi surface resembles Fermi surfaces of some high-T c …