Block model for the XY-type Landau–Ginzburg–Wilson Hamiltonian with random temperature

2012/01/20 by Xintian Wu, X. T. Wu
Mathematics · Physics and Astronomy · #Classical XY model #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Eigenvalues and eigenvectors #Geometry #Hamiltonian (control theory) #Mathematical physics #Mathematics #Phase transition #Physics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum mechanics #Saddle #Saddle point #Statistical physics #Type (biology) #cond-mat.dis-nn

paper · pdf · doi:10.1016/j.physa.2012.07.052

8pages, 4 figures

arxiv created 2012/01/20 · openalex publication_date 2012/07/21 · arxiv updated 2015/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The phase fluctuation near the saddle point solution of the XY-type Landau-Ginzburg-Wilson Hamiltonian with random temperature is studied. For the modes with lowest eigenvalue, the systems is self-organized into blocks, which are coupled as a XY model with random bond. The couplings obtained in this way agree with those by domain wall method.

Citations

• Nature of the superconductor–insulator transition in disordered superconductors
• The Anderson-Mott transition
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