Correlated Phases of Bosons in Tilted Frustrated Lattices

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Correlated Phases of Bosons in Tilted Frustrated Lattices

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Title: Correlated Phases of Bosons in Tilted Frustrated Lattices
Author: Pielawa, Susanne; Kitagawa, Takuya; Berg, Erez; Sachdev, Subir

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Citation: Pielawa, Susanne, Takuya Kitagawa, Erez Berg, and Subir Sachdev. 2011. Correlated phases of bosons in tilted frustrated lattices. Physical Review B 83(20): 205135.
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Abstract: We study the "tilting" of Mott insulators of bosons into metastable states. These are described by Hamiltonians acting on resonant subspaces, and have rich possibilities for correlated phases with non-trivial entanglement of pseudospin degrees of freedom encoded in the boson density. We extend a previous study [S. Sachdev, K. Sengupta, and S. M. Girvin, Phys. Rev. B 66, 075128 (2002)] of cubic lattices to a variety of lattices and tilt directions in 2 dimensions: square, decorated square, triangular, and kagome. For certain configurations three-body interactions are necessary to ensure that the energy of the effective resonant subspace is bounded from below. We find quantum phases with Ising density wave order, with superfluidity transverse to the tilt direction, and a quantum liquid state with no broken symmetry. The existence of the quantum liquids state is shown by an exact solution for a particular correlated boson model. We also find cases for which the resonant subspace is described by effective quantum dimer models.
Published Version: doi:10.1103/PhysRevB.83.205135
Other Sources: http://arxiv.org/abs/1101.2897
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:6900913

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  • FAS Scholarly Articles [7106]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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