scholarly journals Nonergodic dynamics of the two-dimensional random-phase sine-Gordon model: Applications to vortex-glass arrays and disordered-substrate surfaces

1995 ◽  
Vol 51 (5) ◽  
pp. 3305-3308 ◽  
Author(s):  
D. Cule ◽  
Y. Shapir
2012 ◽  
Vol 86 (5) ◽  
Author(s):  
Zoran Ristivojevic ◽  
Pierre Le Doussal ◽  
Kay Jörg Wiese

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
A. Pallinger ◽  
B. Sas ◽  
G. Kriza ◽  
K. Vad ◽  
L. Forro ◽  
...  
Keyword(s):  

The network model of electron orbits coupled by magnetic breakdown is extended to a two dimensional metal containing dislocations. It is shown that the network is still likely to be a valid representation, but the phase lengths of the arms are altered, and a very low dislocation density (about one per electron orbit) is enough to produce almost complete randomization. The Bloch-like quasi-particles that can travel in straight lines on a perfect network are now heavily scattered, and it is preferable to think of electrons performing a random walk on the arms of the network, although the justification for this procedure is somewhat doubtful. A simpler alternative to Falicov & Sievert’s method is presented for calculating the electrical conductivity of a random-phase network, and is extended to cases where randomness affects only some of the phases, as is believed to be the situation in real metals like zinc and magnesium.


1994 ◽  
Vol 50 (17) ◽  
pp. 12959-12965 ◽  
Author(s):  
H. Yamasaki ◽  
K. Endo ◽  
S. Kosaka ◽  
M. Umeda ◽  
S. Yoshida ◽  
...  

Cryogenics ◽  
1995 ◽  
Vol 35 (4) ◽  
pp. 263-269 ◽  
Author(s):  
H. Yamasaki ◽  
K. Endo ◽  
S. Kosaka ◽  
M. Umeda ◽  
S. Yoshida ◽  
...  

1995 ◽  
Vol 51 (21) ◽  
pp. 15304-15311 ◽  
Author(s):  
R. A. Hyman ◽  
Mats Wallin ◽  
M. P. A. Fisher ◽  
S. M. Girvin ◽  
A. P. Young

1992 ◽  
Vol 07 (25) ◽  
pp. 6385-6403
Author(s):  
Y.K. ZHOU

A method to find continuum quantum integrable systems from two-dimensional vertex models is presented. We explain the method with the example where the quantum sine-Gordon model is obtained from an inhomogeneous six-vertex model in its scaling limit. We also show that the method can be applied to other models.


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