scholarly journals Dispersions, weights, and widths of the single-particle spectral function in the normal phase of a Fermi gas

2012 ◽  
Vol 85 (2) ◽  
Author(s):  
F. Palestini ◽  
A. Perali ◽  
P. Pieri ◽  
G. C. Strinati
Keyword(s):  
Spectral Function ◽  
Single Particle ◽  
Fermi Gas ◽  
Normal Phase

SO(5) SYMMETRY AND SINGLE PARTICLE SPECTRA

1999 ◽  
Vol 13 (24n25) ◽  
pp. 3039-3047
Author(s):  
M. G. ZACHER ◽  
A. DORNEICH ◽  
R. EDER ◽  
W. HANKE ◽  
S. C. ZHANG
Keyword(s):  
Spectral Function ◽  
Single Particle ◽  
Photoemission Spectrum ◽  
Two Dimensional ◽  
Ladder Model ◽  
Particle Spectra ◽  
Key Features

We discuss properties of a recently proposed SO(5) symmetric ladder model. Key features of the single particle spectral function that are emerging from the symmetry are numerically identified in the ladder model and in the photoemission spectrum of the two-dimensional t–J model.

A controlled route to the competing phases and the single-particle spectral function in the ground state of the 2D Hubbard model

2007 ◽  
Vol 460-462 ◽  
pp. 248-251
Author(s):  
Werner Hanke ◽  
Markus Aichhorn ◽  
Enrico Arrigoni ◽  
Michael Potthoff
Keyword(s):  
Hubbard Model ◽  
Spectral Function ◽  
Single Particle ◽  
Ground State

scholarly journals Investigating the roots of the nonlinear Luttinger liquid phenomenology

2019 ◽  
Vol 7 (4) ◽  
Author(s):  
Lisa Markhof ◽  
Mikhail Pletyukov ◽  
Volker Meden
Keyword(s):  
Spectral Function ◽  
Power Law ◽  
Single Particle ◽  
Structure Factor ◽  
Particle Interaction ◽  
Luttinger Liquid ◽  
Power Laws ◽  
Second Order ◽  
Dynamical Structure ◽  
Momentum Dependence

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the dynamical structure factor of the interacting electron gas shows a logarithmic threshold singularity when evaluated to first order perturbation theory in the two-particle interaction. This term was interpreted as the linear one in an expansion which was conjectured to resum to a power law. A field theory, the mobile impurity model, which is constructed such that it provides the power law in the structure factor, was suggested to be the proper effective model and used to compute the single-particle spectral function. This forms the basis of the nonlinear Luttinger liquid phenomenology. Surprisingly, the second order perturbative contribution to the structure factor was so far not studied. We first close this gap and show that it is consistent with the conjectured power law. Secondly, we critically assess the steps leading to the mobile impurity Hamiltonian. We show that the model does not allow to include the effect of the momentum dependence of the (bulk) two-particle potential. This dependence was recently shown to spoil power laws in the single-particle spectral function which previously were believed to be part of the Tomonaga-Luttinger liquid universality. Although our second order results for the structure factor are consistent with power-law scaling, this raises doubts that the conjectured nonlinear Luttinger liquid phenomenology can be considered as universal. We conclude that more work is required to clarify this.

scholarly journals Single-particle spectral function of quarter-filled ladder systems

2005 ◽  
Vol 72 (15) ◽  
Author(s):  
M. Aichhorn ◽  
E. Ya. Sherman ◽  
H. G. Evertz
Keyword(s):  
Spectral Function ◽  
Single Particle

Momentum distribution and the universal contact of a unitary Fermi gas with particle-hole fluctuation

2018 ◽  
Vol 32 (21) ◽  
pp. 1850249 ◽  
Author(s):  
Xiao-Xia Ruan ◽  
Hao Gong ◽  
Zheng-Ling Wang ◽  
Hong-Shi Zong
Keyword(s):  
Experimental Data ◽  
Momentum Distribution ◽  
Fermi Gas ◽  
Normal Phase ◽  
Large Momentum ◽  
Matrix Approximation ◽  
Self Consistent ◽  
Theoretical Predictions ◽  
Unitary Fermi Gas ◽  
T Matrix

We compute the momentum distribution of a homogeneous Fermi gas at unitarity in the normal phase within the framework of the non-self-consistent T-matrix approximation with particle-hole fluctuation. From the large-momentum behavior of momentum distribution, we obtain the contact for the unitary Fermi gas. We also compare our results with experimental data and other theoretical predictions.

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