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Generalized crossover in multiparameter Hamiltonians

2001/03/31 by Pietro Parruccini, Paolo Rossi, P. Rossi
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physreve.64.047104

published as Phys.Rev. E64 (2001) 047104 · 4 pages, 1figure

arxiv created 2001/07/09 · openalex publication_date 2001/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Many systems near criticality can be described by Hamiltonians involving several relevant couplings and possessing many nontrivial fixed points. A simple and physically appealing characterization of the crossover lines and surfaces connecting different nontrivial fixed points is presented. Generalized crossover is related to the vanishing of the renormalization group function Z(-1)(t). An explicit example is discussed in detail based on the tetragonal Landau-Ginzburg-Wilson Hamiltonian.

Citations