Supersolid Phases of Hardcore Bosons on the Square Lattice: Correlated Hopping, Next-Nearest Neighbor Hopping and Frustration

Mila F, Dorier J, Schmidt KP (2008)


Publication Status: Published

Publication Type: Journal article

Publication year: 2008

Journal

Publisher: PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE

Pages Range: 355-374

Journal Issue: 176

Abstract

We discuss the appearance of supersolid phases for interacting hardcore bosons on the square lattice when, in addition to the standard nearest neighbor hopping and repulsion, correlated or next-nearest neighbor hopping is present. Having in mind dimer-based quantum magnets in a field described by effective bosonic models of this kind, we put special emphasis on a comparison between the different cases of relative signs of the kinetic processes, which correspond to unfrustrated or frustrated magnetic models. In the unfrustrated case, we compare Quantum Monte Carlo simulations with a mean-field (classical) approach, which is shown to give qualitatively correct results. Using this classical approach for the frustrated case, we find that, the phase diagram is generically richer than in the unfrustrated case. We also investigate in detail the differences between standard next-nearest neighbour and correlated hopping over the diagonal, with the conclusion that both cases are similar if checkerboard order is present at half-filling, while a supersolid phase can be stabilized without any adjacent solid phase only in the case of correlated hopping.

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APA:

Mila, F., Dorier, J., & Schmidt, K.P. (2008). Supersolid Phases of Hardcore Bosons on the Square Lattice: Correlated Hopping, Next-Nearest Neighbor Hopping and Frustration. Progress of Theoretical Physics Supplement, 176, 355-374.

MLA:

Mila, Frederic, Julien Dorier, and Kai Phillip Schmidt. "Supersolid Phases of Hardcore Bosons on the Square Lattice: Correlated Hopping, Next-Nearest Neighbor Hopping and Frustration." Progress of Theoretical Physics Supplement 176 (2008): 355-374.

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