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

Emil Prodan

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arXiv · 0911.2184

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

Emil Prodan

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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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Emil Prodan. 2009-11-11. Symmetry breaking in self-consistent models: Lessons from an exactly solvable many-fermion model. https://arxiv.org/abs/0911.2184

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