Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian

Journal Article · 15 May 2013 · Physical Review. B, Condensed Matter and Materials Physics

DOI: https://doi.org/10.1103/PhysRevB.87.195142 · OSTI ID:1343974

Ying, T. ^[1]; Batrouni, G. G. ^[2]; Rousseau, V. G. ^[3]; Jarrell, M. ^[3]; Moreno, J. ^[3]; Sun, X. D. ^[4]; Scalettar, R. T. ^[5]

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1. Harbin Institute of Technology, Harbin (China); Univ. of California, Davis, CA (United States); The Regents of the University of California, Davis
2. Univ. de Nice-Sophia Antipolis, Valbonne (France); Institut Univ. de France (France); National Univ. of Singapore (Singapore)
3. Louisiana State Univ., Baton Rouge, LA (United States)
4. Harbin Institute of Technology, Harbin (China)
5. Univ. of California, Davis, CA (United States)

The two dimensional square lattice hard-core boson Hubbard model with near neighbor interactions has a ‘checkerboard’ charge density wave insulating phase at half-filling and sufficiently large intersite repulsion. When doped, rather than forming a supersolid phase in which long range charge density wave correlations coexist with a condensation of superfluid defects, the system instead phase separates. However, it is known that there are other lattice geometries and interaction patterns for which such coexistence takes place. In this paper we explore the possibility that anisotropic hopping or anisotropic near neighbor repulsion might similarly stabilize the square lattice supersolid. Lastly, by considering the charge density wave structure factor and superfluid density for different ratios of interaction strength and hybridization in the ˆx and ˆy directions, we conclude that phase separation still occurs.

• Research Organization: The Regents of the Univ. of California, Davis, CA (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
• Grant/Contract Number: NA0001842; FC02-06ER25792
• OSTI ID: 1343974
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 19 Vol. 87; ISSN 1098-0121; ISSN PRBMDO
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English