Fendley, Paul ; Sengupta, K. ; Sachdev, Subir (2004) Competing density-wave orders in a one-dimensional hard-Boson model Physical Review B: Condensed Matter and Materials Physics, 69 (7). 075106_1-075106_15. ISSN 1098-0121
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Official URL: http://prb.aps.org/abstract/PRB/v69/i7/e075106
Related URL: http://dx.doi.org/10.1103/PhysRevB.69.075106
Abstract
We describe the zero-temperature phase diagram of a model of bosons, occupying sites of a linear chain, which obey a hard-exclusion constraint: any two nearest-neighbor sites may have at most one boson. A special case of our model was recently proposed as a description of a "tilted" Mott insulator of atoms trapped in an optical lattice. Our quantum Hamiltonian is shown to generate the transfer matrix of Baxter's hard-square model. Aided by exact solutions of a number of special cases, and by numerical studies, we obtain a phase diagram containing states with long-range density-wave order with periods 2 and 3, and also a floating incommensurate phase. Critical theories for the various quantum phase transitions are presented. As a byproduct, we show how to compute the Luttinger parameter in integrable theories with hard-exclusion constraints.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 81097 |
Deposited On: | 03 Feb 2012 14:20 |
Last Modified: | 18 May 2016 22:48 |
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