Angle-resolved photoemission study of Zn-dopedPrBa2Cu4O8:Possible observation of single-particle spectral function for a Tomonaga-Luttinger liquid

2002 ◽  
Vol 65 (19) ◽  
Author(s):  
T. Mizokawa ◽  
K. Nakada ◽  
C. Kim ◽  
Z.-X. Shen ◽  
T. Yoshida ◽  
...  
Keyword(s):  
Spectral Function ◽  
Single Particle ◽  
Luttinger Liquid ◽  
Photoemission Study

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.

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 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

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions

2007 ◽  
Vol 76 (15) ◽  
Author(s):  
M. Khodas ◽  
M. Pustilnik ◽  
A. Kamenev ◽  
L. I. Glazman
Keyword(s):  
Spectral Function ◽  
Luttinger Liquid ◽  
One Dimensional

Single Particle Green's Function in the Electron–Plasmon Approximation

1973 ◽  
Vol 51 (1) ◽  
pp. 102-110 ◽  
Author(s):  
B. Bergersen ◽  
F. W. Kus ◽  
C. Blomberg
Keyword(s):  
Green’S Function ◽  
Spectral Function ◽  
Density Of States ◽  
Green's Function ◽  
Single Particle ◽  
Perturbation Expansion ◽  
Electron Correlations ◽  
Crucial Feature ◽  
Direct Perturbation ◽  
The One

A discussion of how to carry out a direct perturbation expansion for the one-electron Green's function is given using an electron–plasmon model for the conduction electron correlations. A crucial feature of the method is the consistent extraction of energy shifts. Numerical results for the spectral function and the density of states are given in lowest order and the generalization to higher order is discussed. The present work differs from previous ones in that the method used cannot give rise to "plasmaron"-like excitations. Other singular features also come in differently.

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