Competing density-wave orders in a one-dimensional hard-Boson model

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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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
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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