Phase shift, the Marshall sign, and the Luttinger-liquid behavior in one dimension

1994 ◽  
Vol 50 (18) ◽  
pp. 13837-13840 ◽  
Author(s):  
Z. Y. Weng
Keyword(s):  
Phase Shift ◽  
Luttinger Liquid ◽  
One Dimension ◽  
Liquid Behavior

Exact Evaluation of Thermodynamic Quantities for the Integrable T-J Chain

1997 ◽  
Vol 11 (01n02) ◽  
pp. 141-146
Author(s):  
A. Klümper
Keyword(s):  
Luttinger Liquid ◽  
One Dimension ◽  
Second Step ◽  
Thermodynamic Quantities ◽  
Nonlinear Integral Equations ◽  
Correlation Lengths ◽  
J Chain ◽  
Commuting Matrices ◽  
Exact Evaluation ◽  
Liquid Behavior

The supersymmetric tJ model in one dimension is investigated by means of the quantum transfer matrix (QTM). The free energy of the quantum system is given by just the largest eigenvalue of the QTM whereas the next-largest ones determine the correlation lengths at finite temperature. The first step of the analysis consists of an embedding of the QTM into a family of commuting matrices. In the second step the eigenvalues equations are derived by an algebraic Bethe ansatz. Finally, the eigenvalue equations are transformed into a set of nonlinear integral equations. Some numerical results are presented. The specific heat for instance shows the typical Luttinger liquid behavior at low temperatures.

scholarly journals Breakdown of the Chiral Luttinger Liquid in One Dimension

1999 ◽  
Vol 83 (7) ◽  
pp. 1383-1386 ◽  
Author(s):  
A. F. Ho ◽  
P. Coleman
Keyword(s):  
Luttinger Liquid ◽  
One Dimension

scholarly journals LUTTINGER LIQUID, SINGULAR INTERACTION AND QUANTUM CRITICALITY IN CUPRATE MATERIALS

2012 ◽  
Vol 26 (22) ◽  
pp. 1244003
Author(s):  
C. DI CASTRO ◽  
S. CAPRARA
Keyword(s):  
Fermi Liquid ◽  
High Temperature Superconductors ◽  
Effective Interaction ◽  
Luttinger Liquid ◽  
Metallic Phase ◽  
Quantum Criticality ◽  
Electron Interaction ◽  
Research Activity ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

With particular reference to the role of the renormalization group (RG) approach and Ward identities (WI's), we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional crossover to the Landau normal Fermi liquid implies that a non-Fermi liquid, as, e.g., the normal phase of the cuprate high temperature superconductors, can be maintained in d>1 only in the presence of a sufficiently singular effective interaction among the charge carriers. This is the case when, nearby an instability, the interaction is mediated by critical fluctuations. We are then led to introduce the specific case of superconductivity in cuprates as an example of avoided quantum criticality. We will disentangle the fluctuations which act as mediators of singular electron–electron interaction, enlightening the possible order competing with superconductivity and a mechanism for the non-Fermi-liquid behavior of the metallic phase. This paper is not meant to be a comprehensive review. Many important contributions will not be considered. We will also avoid using extensive technicalities and making full calculations for which we refer to the original papers and to the many good available reviews. We will here only follow one line of reasoning which guided our research activity in this field.

scholarly journals Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects

1999 ◽  
Vol 12 (3) ◽  
pp. 351-365 ◽  
Author(s):  
H. Nélisse ◽  
C. Bourbonnais ◽  
H. Touchette ◽  
Y.M. Vilk ◽  
A.-M.S. Tremblay
Keyword(s):  
Luttinger Liquid ◽  
Spin Susceptibility ◽  
One Dimension ◽  
Lattice Effects ◽  
Interacting Electrons

Luttinger Liquid Behavior of Long GaAs Quantum Wires

2013 ◽  
pp. 319-327
Author(s):  
E. Levy ◽  
I. Sternfeld ◽  
M. Eshkol ◽  
M. Karpovski ◽  
A. Palevski ◽  
...  
Keyword(s):  
Quantum Wires ◽  
Luttinger Liquid ◽  
Liquid Behavior

scholarly journals Anomalous chiral Luttinger liquid behavior of diluted fractionally charged quasiparticles

2003 ◽  
Vol 67 (20) ◽  
Author(s):  
Y. C. Chung ◽  
M. Heiblum ◽  
Y. Oreg ◽  
V. Umansky ◽  
D. Mahalu
Keyword(s):  
Luttinger Liquid ◽  
Liquid Behavior
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