Symmetry breaking in self-consistent models: Lessons from an exactly solvable many-fermion model

2009/11/11 by Emil Prodan, Prodan, Emil
Physics and Astronomy · #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0911.2184

arxiv created 2009/11/11 · arxiv updated 2009/12/01

Abstract

This work presents a many-fermion Hamiltonian with the following properties: 1) is exactly solvable, 2) has a second order insulator-metal quantum phase transition, 3) has a well defined mean field approximation and 4) its mean-field ground state displays a liquid-solid transition. The phenomenon of symmetry breaking in fermionic self-consistent models is discussed in the light of these remarkable properties of the many-body model.

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