Thermal Bethe-ansatz study of the correlation length of the one-dimensionalS=1/2 Heisenberg antiferromagnet

1991 ◽  
Vol 43 (10) ◽  
pp. 8217-8223 ◽  
Author(s):  
Kiyohide Nomura ◽  
Miki Yamada
1985 ◽  
Vol 111 (8-9) ◽  
pp. 419-422 ◽  
Author(s):  
N.M. Bogoliubov ◽  
V.E. Korepin

2014 ◽  
Vol 29 (20) ◽  
pp. 1450111 ◽  
Author(s):  
Stefano Negro

We review the construction of the fermionic basis for sinh–Gordon model and investigate numerically the ultraviolet limit of the one-point functions. We then compare the predictions obtained from this formalism against previously established results.


2002 ◽  
Vol 12 (9) ◽  
pp. 323-324
Author(s):  
D. Le Bolloc'h ◽  
S. Ravy ◽  
P. Senzier ◽  
C. Pasquier ◽  
C. Detlefs

The correlation length of the charge density wave ordering in Rb0.3, MoO, has been studied by x-ray diffraction under electric field applied along the one-dimensional axis. The (10, 0.25, -5.5) satellite reflection has been measured in 3D, using high Q-resolution available at the ESRF. Under electrical field, the satellite reaches two stable positions depending on the temperature. It can switch from one to another as a function of the temperature and the current with very long relaxation times ($\rm 10^{th}$ of minutes). After several cycling with T and E, the satellite reflection is found to shift in the 3 main directions. The width of the satellite is reduced by a factor of two in the k-direction and an increase of the transverse correlation length is observed in the two others: the ordered domains look elongated, reaching until 5000 Å in the direction of the applied field and around 1OOO Å, in the perpendicular directions.


2004 ◽  
Vol 19 (supp02) ◽  
pp. 57-81
Author(s):  
H. E. BOOS ◽  
V. E. KOREPIN ◽  
F. A. SMIRNOV

We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of a formation of a ferromagnetic string P(n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Knizhnik-Zamolodchikov equation [qKZ]. We calculate EFP for n≤6 for the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations and number theory. We also make a conjecture about a structure of EFP for arbrary n.


2002 ◽  
Vol 312-313 ◽  
pp. 359-361
Author(s):  
M. Kohgi ◽  
K. Iwasa ◽  
J.-M. Mignot ◽  
B. Fåk ◽  
A. Hiess ◽  
...  

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