Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model
arXiv:0705.1611 · doi:10.1103/PhysRevB.75.165111
Abstract
The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions and their exponents are obtained analytically. Our results show that the difference between the hopping integrals for up- and down-spin electrons is crucial for the happening of the phase separation. When the difference is large enough, the phase separation will appear even if the on-site interaction is small.
6 pages, 3 figures
References in corpus (12)
- One-Dimensional Fermi liquids
- Entanglement and quantum phase transition in the extended Hubbard model
- Local entanglement and quantum phase transition in the Hubbard model
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Exact solution of the Falicov-Kimball model with dynamical mean-field theory
- Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
- Spin-1/2 fermions on spin-dependent optical lattices
- Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
- Phase separation due to quantum mechanical correlations
- Phase separation and the segregation principle in the infinite-U spinless Falicov-Kimball model
- Segregation in the asymmetric Hubbard model
- Instabilities in Luttinger liquids
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