Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions

V. L. Campo; J. Quintanilla; C. Hooley

doi:10.1016/j.physb.2009.07.089

Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions

V. L. Campo, J. Quintanilla, C. Hooley

Research output: Contribution to journal › Article › peer-review

Abstract

A recent paper [V.L. Campo, et al., Phys. Rev. Lett. 99 (2007) 240403] has proposed a two-parameter scaling method to determine the phase diagram of the fermionic Hubbard model from optical lattice experiments. Motivated by this proposal, we investigate in more detail the behavior of the ground-state energy per site as a function of trap size (L) and confining potential (V(x) = t(x/L)(alpha)) in the one-dimensional case. Using the BALDA-DFT method, we find signatures of critical behavior as alpha ->infinity. (c) 2009 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	3328-3331
Number of pages	4
Journal	Physica B : Condensed Matter
Volume	404
Issue number	19
DOIs	https://doi.org/10.1016/j.physb.2009.07.089
Publication status	Published - 15 Oct 2009

Keywords

Hubbard model
Critical behavior
Confining potential
Ultra-cold fermions

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10.1016/j.physb.2009.07.089

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title = "Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions",

abstract = "A recent paper [V.L. Campo, et al., Phys. Rev. Lett. 99 (2007) 240403] has proposed a two-parameter scaling method to determine the phase diagram of the fermionic Hubbard model from optical lattice experiments. Motivated by this proposal, we investigate in more detail the behavior of the ground-state energy per site as a function of trap size (L) and confining potential (V(x) = t(x/L)(alpha)) in the one-dimensional case. Using the BALDA-DFT method, we find signatures of critical behavior as alpha ->infinity. (c) 2009 Elsevier B.V. All rights reserved.",

keywords = "Hubbard model, Critical behavior, Confining potential, Ultra-cold fermions",

author = "Campo, {V. L.} and J. Quintanilla and C. Hooley",

year = "2009",

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AU - Quintanilla, J.

AU - Hooley, C.

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Y1 - 2009/10/15

N2 - A recent paper [V.L. Campo, et al., Phys. Rev. Lett. 99 (2007) 240403] has proposed a two-parameter scaling method to determine the phase diagram of the fermionic Hubbard model from optical lattice experiments. Motivated by this proposal, we investigate in more detail the behavior of the ground-state energy per site as a function of trap size (L) and confining potential (V(x) = t(x/L)(alpha)) in the one-dimensional case. Using the BALDA-DFT method, we find signatures of critical behavior as alpha ->infinity. (c) 2009 Elsevier B.V. All rights reserved.

AB - A recent paper [V.L. Campo, et al., Phys. Rev. Lett. 99 (2007) 240403] has proposed a two-parameter scaling method to determine the phase diagram of the fermionic Hubbard model from optical lattice experiments. Motivated by this proposal, we investigate in more detail the behavior of the ground-state energy per site as a function of trap size (L) and confining potential (V(x) = t(x/L)(alpha)) in the one-dimensional case. Using the BALDA-DFT method, we find signatures of critical behavior as alpha ->infinity. (c) 2009 Elsevier B.V. All rights reserved.

KW - Hubbard model

KW - Critical behavior

KW - Confining potential

KW - Ultra-cold fermions

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EP - 3331

JO - Physica B : Condensed Matter

JF - Physica B : Condensed Matter

IS - 19

ER -

Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions

Abstract

Keywords

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EPSRC ADVANCED FELLOWSHIP: Condensed Matter Physics in New Places: From Nanotechnology to Atom Traps

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Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions

Abstract

Keywords

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EPSRC ADVANCED FELLOWSHIP: Condensed Matter Physics in New Places: From Nanotechnology to Atom Traps

Cite this