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Finite-temperature study of correlations in a bilayer band insulator

Prasad, Y (2022) Finite-temperature study of correlations in a bilayer band insulator. In: Physical Review B, 106 (18).

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Official URL: https://doi.org/10.1103/PhysRevB.106.184506


We perform the finite-temperature determinant quantum Monte Carlo simulation for the attractive Hubbard model on the half-filled bilayer square lattice. Recent progress on optical lattice experiments lead us to investigate various single-particle properties such as momentum distribution and double occupancies which should be easily measured in cold-atom experiments. The pair-pair and the density-density correlations have been studied in detail and, through finite-size scaling, we show that there is no competing charge density wave order in the bilayer band-insulator model and that the superfluid phase is the stable phase for the interaction range |U|/t=5-10. We show the existence of two energy scales in the system as we increase the attractive interaction, one governing the phase coherence and the other one corresponding to the molecule formation. In the end, we map out the full T-U phase diagram and compare the Tc obtained through the mean-field analysis. We observe that the maximum Tc/t(=0.27) occurs for |U|/t=6, which is roughly twice the reported Tc of the single-layer attractive Hubbard model. © 2022 American Physical Society.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Charge density; Charge density waves; Crystal lattices; Intelligent systems; Monte Carlo methods; Optical lattices; Particle size analysis, Band insulators; Bi-layer; Finite temperatures; Momentum distributions; Particle properties; Quantum Monte Carlo simulations; Recent progress; Single-particle; Square lattices; Temperature study, Hubbard model
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 18 Jan 2023 05:21
Last Modified: 18 Jan 2023 05:21
URI: https://eprints.iisc.ac.in/id/eprint/79198

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