RENORMALIZATION GROUP OF A TWO-DIMENSIONAL PATCHED FERMI SURFACE

2003 ◽  
Vol 17 (04) ◽  
pp. 167-174 ◽  
Author(s):  
A. FERRAZ
Keyword(s):  
Renormalization Group ◽  
Continuous Function ◽  
Fermi Surface ◽  
Fermi Liquid ◽  
Anomalous Dimension ◽  
Luttinger Liquid ◽  
Two Dimensional ◽  
Infinite Slope ◽  
Fermi Liquid Theory ◽  
Liquid Theory

Using the renormalization group we calculate the single particle Green's function G and the momentum occupation function [Formula: see text] for a quasiparticle in a two-dimensional Fermi Surface (FS) composed of four symmetric patches with both flat and curved arcs in [Formula: see text]-space. We show that G develops an anomalous dimension as a result of the vanishing of the quasiparticle weight at the FS. [Formula: see text] is a continuous function of [Formula: see text] with an infinite slope at FS for CU*2/(1 - CU*2) < 1. This result resembles a Luttinger liquid and indicates the breakdown of Fermi liquid theory in this regime.

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory

EXPERIMENTAL PHOTOHOLE LIFETIMES DERIVED FROM TWO-DIMENSIONAL STATES IN Ag(111) FILMS DEPOSITED ONTO H-PASSIVATED Si(111)-(1 × 1) SURFACES

2002 ◽  
Vol 09 (02) ◽  
pp. 729-734 ◽  
Author(s):  
A. ARRANZ ◽  
J. F. SÁNCHEZ-ROYO ◽  
J. AVILA ◽  
V. PÉREZ-DIESTE ◽  
M. C. ASENSIO
Keyword(s):  
Single Crystals ◽  
Valence Band ◽  
Lower Limit ◽  
Energy Dependence ◽  
Density Of States ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory ◽  
Band Spectra

The linewidth of two-dimensional states appearing in the valence band spectra of 6–12-monolayer Ag(111) films deposited onto H-passivated Si (111)-(1 × 1) substrates has been analyzed in order to obtain a lower limit of the photohole lifetime. An inverse quadratic energy dependence is expected according to the Fermi liquid theory. However, in contrast with the observed in the literature for Ag single crystals, an inverse linear energy dependence has been found for the photohole lifetime. This discrepancy could be attributed to the quantization in the Γ-L direction of the Ag-sp states available for the hole decay, which does not fulfill the energy-independent density of states hypothesis of the Fermi liquid theory.

scholarly journals Quantum oscillations of electrical resistivity in an insulator

Science ◽  
2018 ◽  
Vol 362 (6410) ◽  
pp. 65-69 ◽  
Author(s):  
Z. Xiang ◽  
Y. Kasahara ◽  
T. Asaba ◽  
B. Lawson ◽  
C. Tinsman ◽  
...  
Keyword(s):  
Electrical Resistivity ◽  
Fermi Surface ◽  
Effective Mass ◽  
Fermi Liquid ◽  
Oscillation Amplitude ◽  
Magnetic Torque ◽  
Quantum Oscillations ◽  
Fermi Liquid Theory ◽  
Conduction Electrons ◽  
Liquid Theory

In metals, orbital motions of conduction electrons on the Fermi surface are quantized in magnetic fields, which is manifested by quantum oscillations in electrical resistivity. This Landau quantization is generally absent in insulators. Here, we report a notable exception in an insulator—ytterbium dodecaboride (YbB12). The resistivity of YbB12, which is of a much larger magnitude than the resistivity in metals, exhibits distinct quantum oscillations. These unconventional oscillations arise from the insulating bulk, even though the temperature dependence of the oscillation amplitude follows the conventional Fermi liquid theory of metals with a large effective mass. Quantum oscillations in the magnetic torque are also observed, albeit with a lighter effective mass.

Sign in / Sign up

Export Citation Format

Share Document