Supersymmetric quantum spherical spins with shortrange interactions
Abstract
This work is dedicated to the study of a supersymmetric quantum spherical spin system with shortrange interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at zero temperature without breaking supersymmetry. At finite temperature the supersymmetry is broken and the system exhibits a thermal phase transition. We determine the critical dimensions and compute critical exponents. In particular, we find that the model is characterized by a dynamical critical exponent z = 2. We also investigate properties of correlations in the onedimensional lattice. Finally, we explore the connection with a nonrelativistic version of the supersymmetric nonlinear sigma model and show that it is equivalent to the system of spherical spins in the large N limit.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 February 2020
 DOI:
 10.1088/17425468/ab6a06
 arXiv:
 arXiv:1910.04007
 Bibcode:
 2020JSMTE..02.3104T
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory
 EPrint:
 33 pages, 10 figures, typos fixed, new discussions included, published version