Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian

Ying, T.; Batrouni, G. G.; Rousseau, V. G.; Jarrell, M.; Moreno, J.; Sun, X. D.; Scalettar, R. T.

doi:10.1103/PhysRevB.87.195142

Title: Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian

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Abstract

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.

Authors:

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]

Harbin Institute of Technology, Harbin (China); Univ. of California, Davis, CA (United States)
Univ. de Nice-Sophia Antipolis, Valbonne (France); Institut Univ. de France (France); National Univ. of Singapore (Singapore)
Louisiana State Univ., Baton Rouge, LA (United States)
Harbin Institute of Technology, Harbin (China)
Univ. of California, Davis, CA (United States)

Publication Date:: Wed May 15 00:00:00 EDT 2013

Research Org.:: Univ. of California, Davis, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

OSTI Identifier:: 1343974

Alternate Identifier(s):: OSTI ID: 1102773

Grant/Contract Number:: NA0001842; FC02-06ER25792

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Volume: 87; Journal Issue: 19; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Ying, T., Batrouni, G. G., Rousseau, V. G., Jarrell, M., Moreno, J., Sun, X. D., and Scalettar, R. T. Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian.  United States: N. p., 2013. 
Web.  doi:10.1103/PhysRevB.87.195142.

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                    Ying, T., Batrouni, G. G., Rousseau, V. G., Jarrell, M., Moreno, J., Sun, X. D., & Scalettar, R. T. Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian.  United States.  https://doi.org/10.1103/PhysRevB.87.195142

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                    Ying, T., Batrouni, G. G., Rousseau, V. G., Jarrell, M., Moreno, J., Sun, X. D., and Scalettar, R. T. Wed .  
"Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian".  United States.  https://doi.org/10.1103/PhysRevB.87.195142.  https://www.osti.gov/servlets/purl/1343974.

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@article{osti_1343974,

  title        = {Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian},

  author       = {Ying, T. and Batrouni, G. G. and Rousseau, V. G. and Jarrell, M. and Moreno, J. and Sun, X. D. and Scalettar, R. T.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevB.87.195142},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 19,

  volume       = 87,

  place        = {United States},

  year         = {Wed May 15 00:00:00 EDT 2013},

  month        = {Wed May 15 00:00:00 EDT 2013}

}

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