"Solidification" in a soluble model of bosons on a one-dimensional lattice: The "Boson-Hubbard chain"

F. D.M. Haldane

doi:10.1016/0375-9601(80)90022-5

"Solidification" in a soluble model of bosons on a one-dimensional lattice: The "Boson-Hubbard chain"

F. D.M. Haldane

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Abstract

Lieb and Liniger's soluble model of the 1-D Bose gas is put on a lattice, becoming a "boson-Hubbard model". It remains soluble by the Bethe ansatz. When the coupling exceeds a critical value ( U 2πT)> 2√3 π, a gap is present when the density n bosons per site is 1.

Original language	English (US)
Pages (from-to)	281-283
Number of pages	3
Journal	Physics Letters A
Volume	80
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(80)90022-5
State	Published - Dec 8 1980
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(80)90022-5

Cite this

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abstract = "Lieb and Liniger's soluble model of the 1-D Bose gas is put on a lattice, becoming a {"}boson-Hubbard model{"}. It remains soluble by the Bethe ansatz. When the coupling exceeds a critical value ( U 2πT)> 2√3 π, a gap is present when the density n bosons per site is 1.",

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N2 - Lieb and Liniger's soluble model of the 1-D Bose gas is put on a lattice, becoming a "boson-Hubbard model". It remains soluble by the Bethe ansatz. When the coupling exceeds a critical value ( U 2πT)> 2√3 π, a gap is present when the density n bosons per site is 1.

AB - Lieb and Liniger's soluble model of the 1-D Bose gas is put on a lattice, becoming a "boson-Hubbard model". It remains soluble by the Bethe ansatz. When the coupling exceeds a critical value ( U 2πT)> 2√3 π, a gap is present when the density n bosons per site is 1.

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"Solidification" in a soluble model of bosons on a one-dimensional lattice: The "Boson-Hubbard chain"

Abstract

All Science Journal Classification (ASJC) codes

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