scholarly journals Vortex chains due to nonpairwise interactions and field-induced phase transitions between states with different broken symmetry in superconductors with competing order parameters

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Julien Garaud ◽  
Egor Babaev
2015 ◽  
Vol 91 (21) ◽  
Author(s):  
Tomoaki Yamada ◽  
Benjamin Wylie-van Eerd ◽  
Osami Sakata ◽  
Alexander K. Tagantsev ◽  
Hitoshi Morioka ◽  
...  

1981 ◽  
Vol 133 (1) ◽  
pp. 103 ◽  
Author(s):  
M.A. Anisimov ◽  
E.E. Gorodetskii ◽  
V.M. Zaprudskii

1989 ◽  
Vol 39 (4) ◽  
pp. 2238-2244 ◽  
Author(s):  
Joseph L. Birman ◽  
Jian-Ping Lu

2004 ◽  
Vol 07 (01) ◽  
pp. 93-123
Author(s):  
HEINZ MÜHLENBEIN ◽  
THOMAS AUS DER FÜNTEN

We investigate a family of totalistic probabilistic cellular automata (PCA) which depend on three parameters. For the uniform random neighborhood and for the symmetric 1D PCA the exact stationary distribution is computed for all finite n. This result is used to evaluate approximations (uni-variate and bi-variate marginals). It is proven that the uni-variate approximation (also called mean-field) is exact for the uniform random neighborhood PCA. The exact results and the approximations are used to investigate phase transitions. We compare the results of two order parameters, the uni-variate marginal and the normalized entropy. Sometimes different transitions are indicated by the Ehrenfest classification scheme. This result shows the limitations of using just one or two order parameters for detecting and classifying major transitions of the stationary distribution. Furthermore, finite size scaling is investigated. We show that extrapolations to n=∞ from numerical calculations of finite n can be misleading in difficult parameter regions. Here, exact analytical estimates are necessary.


2021 ◽  
pp. 287-303
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras

The phenomenon of spontaneous symmetry breaking is a common feature of phase transitions in both classical and quantum physics. In a first part we study this phenomenon for the case of a global internal symmetry and give a simple proof of Goldstone’s theorem. We show that a massless excitation appears, corresponding to every generator of a spontaneously broken symmetry. In a second part we extend these ideas to the case of gauge symmetries and derive the Brout–Englert–Higgs mechanism. We show that the gauge boson associated with the spontaneously broken generator acquires a mass and the corresponding field, which would have been the Goldstone boson, decouples and disappears. Its degree of freedom is used to allow the transition from a massless to a massive vector field.


1988 ◽  
Vol 02 (05) ◽  
pp. 847-850
Author(s):  
T. K. KOPEĆ

The Landau free energy functional with two competing order parameters is derived from microscopic considerations for bipolaronic superconductor.


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