Correlated Phases of Bosons in Tilted Frustrated Lattices
| Title: | Correlated Phases of Bosons in Tilted Frustrated Lattices |
| Author: |
Pielawa, Susanne; Kitagawa, Takuya; Berg, Erez; Sachdev, Subir
Note: Order does not necessarily reflect citation order of authors. |
| 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. |
| Full Text & Related Files: |
1101.2897v3.pdf (632.6Kb; PDF) 
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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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