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Spectrum and the Quantum Hall Effect on the Square Lattice with Next-Nearest-Neighbor Hopping

眞人甲元

物性研究Feb 20, 19910 citations

Supersolid in a one-dimensional model of hard-core bosons

Tapan Mishra, Ramesh V. Pai, Subroto Mukerjee

We study a system of hard-core boson on a one-dimensional lattice with frustrated next-nearest-neighbor hopping and nearest-neighbor interaction. At half filling, for equal magnitude of nearest- and next-nearest-neighbor hopping, the ground state of this system exhibits a first-order phase transition from a bond-ordered solid to a charge-density-wave solid as a function of the nearest-neighbor interaction. Moving away from half filling we investigate the system at incommensurate densities, where we find a supersolid phase which has concurrent off-diagonal long-range order and density-wave order which is unusual in a system of hard-core bosons in one dimension. Using the finite-size density-matrix renormalization group method, we obtain the complete phase diagram for this model.We study a system of hard-core boson on a one-dimensional lattice with frustrated next-nearest-neighbor hopping and nearest-neighbor interaction. At half filling, for equal magnitude of nearest- and next-nearest-neighbor hopping, the ground state of this system exhibits a first-order phase transition from a bond-ordered solid to a charge-density-wave solid as a function of the nearest-neighbor interaction. Moving away from half filling we investigate the system at incommensurate densities, where we find a supersolid phase which has concurrent off-diagonal long-range order and density-wave order which is unusual in a system of hard-core bosons in one dimension. Using the finite-size density-matrix renormalization group method, we obtain the complete phase diagram for this model.

arXiv:1309.4412Physical Review AJan 21, 201426 citations

Quantum phases, supersolids and quantum phase transitions of interacting bosons in frustrated lattices

Jinwu Ye, Yan Chen

arXiv:cond-mat/0612009Nuclear Physics BDec 5, 20129 citations

The Supersolid Phase of Interacting 2D Bosons

Anne van Otterlo, Karl-Heinz Wagenblast

Springer eBooksJan 1, 19950 citations

Supersolid order of frustrated hard-core bosons in a triangular lattice system

Hong‐Chen Jiang, M. Q. Weng, Zheng-Yu Weng +2 more

We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same problem with unfrustrated hopping, which connects the supersolid to the known results in that case. The weak superfluidity can be destroyed or strongly enhanced by a next-nearest-neighbor hopping term, which provides valuable information for experimental realization of a supersolid phase on optical lattice. A phase diagram for the frustrated anisotropic Heisenberg model on triangular lattice is also established.We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same problem with unfrustrated hopping, which connects the supersolid to the known results in that case. The weak superfluidity can be destroyed or strongly enhanced by a next-nearest-neighbor hopping term, which provides valuable information for experimental realization of a supersolid phase on optical lattice. A phase diagram for the frustrated anisotropic Heisenberg model on triangular lattice is also established.

arXiv:0810.0900Physical Review BJan 30, 200947 citations

Superfluid, Supersolid, and Phase Separation in Strongly Correlated Square Lattice Bosons

liang Hong Ren, Ziqiang Wang

Bulletin of the American Physical SocietyMar 8, 20070 citations

Supersolid Phases of Hardcore Bosons on the Square Lattice : Correlated Hopping, Next-Nearest Neighbor Hopping and Frustration(Interaction and Nanostructural Effects in Low-Dimensional Systems)

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Supersolid Phases of Hardcore Bosons on the Square Lattice : Correlated Hopping, Next-Nearest Neighbor Hopping and Frustration(Interaction and Nanostructural Effects in Low-Dimensional Systems)

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