Phase stability in the two-dimensional anisotropic boson Hubbard Hamiltonian
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:
-
- 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:
- 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.
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
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.
@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}
}
Web of Science