Temperature correlation functions in the XX0 Heisenberg chain. I

1993 ◽  
Vol 94 (1) ◽  
pp. 11-38 ◽  
Author(s):  
F. Colomo ◽  
A. G. Izergin ◽  
V. E. Korepin ◽  
V. Tognetti
Keyword(s):  
Correlation Functions ◽  
Heisenberg Chain ◽  
Temperature Correlation

scholarly journals HEISENBERG INTEGER SPIN CHAINS IN A UNIFORM MAGNETIC FIELD

2002 ◽  
Vol 16 (09) ◽  
pp. 1363-1379 ◽  
Author(s):  
L. CAMPOS VENUTI ◽  
E. ERCOLESSI ◽  
G. MORANDI ◽  
P. PIERI ◽  
M. RONCAGLIA
Keyword(s):  
Magnetic Field ◽  
Numerical Analysis ◽  
Correlation Functions ◽  
Uniform Magnetic Field ◽  
Spin Chains ◽  
Zero Temperature ◽  
Heisenberg Chain ◽  
Temperature Correlation ◽  
Point Analysis ◽  
External Uniform Magnetic Field

We investigate both numerically and analytically the behavior of a spin-1 antiferromagnetic isotropic Heisenberg chain in an external uniform magnetic field. Extensive DMRG studies of chains up to N = 80 sites extend previous analyses and obtain the zero-temperature correlation functions. We argue that, despite the presence of a magnetic field, the model is still well described by an O(3) nonlinear σ-model. A saddle-point analysis, that also includes Gaussian fluctuations, is developed for the latter both at zero and finite temperatures. Its predictions are compared with those of the numerical analysis and with the existing experimental literature.

Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain

1996 ◽  
Vol 80 (3) ◽  
pp. 1747-1759 ◽  
Author(s):  
A. G. Izergin ◽  
A. R. Its ◽  
V. E. Korepin ◽  
N. A. Slavnov
Keyword(s):  
Differential Equations ◽  
Correlation Functions ◽  
Heisenberg Chain ◽  
Temperature Correlation
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