Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
| Autor: | Valy Rousseau, G. George Batrouni, Benoît. Grémaud, Richard T. Scalettar |
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| Rok vydání: | 2014 |
| Předmět: |
Physics
Hubbard model Plane (geometry) Density matrix renormalization group Quantum Monte Carlo FOS: Physical sciences Condensed Matter Physics Power law Electronic Optical and Magnetic Materials Supersolid Quantum Gases (cond-mat.quant-gas) Phase (matter) Quantum mechanics Condensed Matter - Quantum Gases Phase diagram |
| DOI: | 10.48550/arxiv.1405.5382 |
| Popis: | We study the phase diagram of the one-dimensional bosonic Hubbard model with contact ($U$) and near neighbor ($V$) interactions focusing on the gapped Haldane insulating (HI) phase which is characterized by an exotic nonlocal order parameter. The parameter regime ($U$, $V$ and $\mu$) where this phase exists and how it competes with other phases such as the supersolid (SS) phase, is incompletely understood. We use the Stochastic Green Function quantum Monte Carlo algorithm as well as the density matrix renormalization group to map out the phase diagram. Our main conclusions are that the HI exists only at $\rho=1$, the SS phase exists for a very wide range of parameters (including commensurate fillings) and displays power law decay in the one body Green function. In addition, we show that at fixed integer density, the system exhibits phase separation in the $(U,V)$ plane. Comment: 10 pages, 14 figures. arXiv admin note: text overlap with arXiv:1304.2120 |
| Databáze: | OpenAIRE |
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