Spontaneous symmetry breaking in correlated wave functions

Abstract

We show that Jastrow-Slater wave functions, in which a density-density Jastrow factor is applied onto an uncorrelated fermionic state, may possess long-range order even when all symmetries are preserved in the wave function. This fact is mainly related to the presence of a sufficiently strong Jastrow term (also including the case of full Gutzwiller projection, suitable for describing spin models). Selected examples are reported, including the spawning of Néel order and dimerization in spin systems, and the stabilization of charge and orbital order in itinerant electronic systems.

13 pages, 11 figures

References in corpus (11)

• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
• Tomonaga-Luttinger parameters for doped Mott insulators
• Variational wave functions for the $S=1/2$ Heisenberg model on the anisotropic triangular lattice: Spin liquids and spiral orders
• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Mott transition in bosonic systems: Insights from the variational approach
• Variational Monte Carlo Study of a Spinless Fermion t-V Model on a Triangular Lattice: Formation of a Pinball Liquid
• Assessing the orbital selective Mott transition with variational wave functions
• Correlated valence-bond states

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• Emergent lattices with geometrical frustration in doped extended Hubbard models
• Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction