Correlation functions and critical exponents in the one-dimensional anisotropict-Jmodel

1991 ◽  
Vol 44 (1) ◽  
pp. 205-216 ◽  
Author(s):  
Thomas Pruschke ◽  
Hiroyuki Shiba
Keyword(s):  
Critical Exponents ◽  
Correlation Functions ◽  
One Dimensional ◽  
The One

scholarly journals CRITICAL EXPONENTS IN THE ONE-DIMENSIONAL HUBBARD MODEL

1994 ◽  
Vol 08 (04) ◽  
pp. 403-415 ◽  
Author(s):  
Holger Frahm ◽  
V. E. Korepin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Asymptotic Behaviour ◽  
Hubbard Model ◽  
Critical Exponents ◽  
Correlation Functions ◽  
Exact Results ◽  
Quantum Field ◽  
One Dimensional ◽  
The One

Exact Bethe Ansatz results on the spectrum of large but finite Hubbard chains in conjunction with methods from conformal quantum field theory can be used to obtain exact results for the asymptotic behaviour of correlation functions. We review this method and discuss some interesting consequences of the results.

THE ROLE OF QUASI-ONE-DIMENSIONAL STRUCTURES IN HIGH-Tc SUPERCONDUCTIVITY

1989 ◽  
Vol 03 (03) ◽  
pp. 427-439 ◽  
Author(s):  
N. M. BOGOLIUBOV ◽  
V. E. KOREPIN
Keyword(s):  
Critical Temperature ◽  
Critical Exponents ◽  
Electron Tunneling ◽  
Dimensional System ◽  
Cooper Pairs ◽  
High Tc ◽  
Mean Values ◽  
One Dimensional ◽  
The One

The critical exponents describing the decrease of correlation functions on long distances for the one-dimensional Hubbard model is obtained. The behaviour of correlators shows that Cooper pairs of electrons are formed. The electron tunneling between the chains leads to the existence of the anomalous mean values and to the superconductive current. The anisotropy of the quasi-one-dimensional system leads to the rise of critical temperature T c .

scholarly journals Two-loop corrections to the large-order behavior of correlation functions in the one-dimensional N -vector model

2020 ◽  
Vol 101 (12) ◽  
Author(s):  
L. T. Giorgini ◽  
U. D. Jentschura ◽  
E. M. Malatesta ◽  
G. Parisi ◽  
T. Rizzo ◽  
...  
Keyword(s):  
Correlation Functions ◽  
Vector Model ◽  
One Dimensional ◽  
Large Order ◽  
The One ◽  
N Vector
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