Accessing the mott regime in 2D optical lattices with strongly interacting fermions

Ehsan Khatami, Marcos Rigol

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We use numerical linked-cluster expansions to study finite-temperature properties of strongly interacting fermions in two-dimensional optical lattices, governed by the Hubbard model.We show the double occupancy and entropy for the infinite homogeneous system at temperatures significantly lower than those obtained by other exact methods at strong interactions. Employing a local density approximation, and using the high-precision results for the entropy, we study the density and nearest-neighbor spin correlation profiles of lattice fermions trapped in a harmonic potential during adiabatic processes. Starting with a trap that has a substantial band-insulator region at high temperatures, we show how one can access the Mott region at low temperatures by flattening the trapping potential.

Original languageEnglish (US)
Pages (from-to)2145-2147
Number of pages3
JournalJournal of Superconductivity and Novel Magnetism
Volume25
Issue number7
DOIs
StatePublished - Oct 1 2012

Fingerprint

Optical lattices
Fermions
fermions
entropy
flattening
Entropy
trapping
insulators
traps
harmonics
Local density approximation
Hubbard model
Temperature
expansion
profiles
approximation
temperature

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "We use numerical linked-cluster expansions to study finite-temperature properties of strongly interacting fermions in two-dimensional optical lattices, governed by the Hubbard model.We show the double occupancy and entropy for the infinite homogeneous system at temperatures significantly lower than those obtained by other exact methods at strong interactions. Employing a local density approximation, and using the high-precision results for the entropy, we study the density and nearest-neighbor spin correlation profiles of lattice fermions trapped in a harmonic potential during adiabatic processes. Starting with a trap that has a substantial band-insulator region at high temperatures, we show how one can access the Mott region at low temperatures by flattening the trapping potential.",
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Accessing the mott regime in 2D optical lattices with strongly interacting fermions. / Khatami, Ehsan; Rigol, Marcos.

In: Journal of Superconductivity and Novel Magnetism, Vol. 25, No. 7, 01.10.2012, p. 2145-2147.

Research output: Contribution to journalArticle

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