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We present a comprehensive numerical study on the ground state phase diagram of the two-dimensional hardcore boson extended Hubbard model with nearest ($V_1$) and next nearest neighbor ($V_2$) repulsions. In addition to the quantum solid…

Strongly Correlated Electrons · Physics 2009-11-13 Kwai-Kong Ng , Y. C. Chen

We use two Quantum Monte Carlo algorithms to map out the phase diagram of the two-dimensional hardcore boson Hubbard model with near ($V_1$) and next near ($V_2$) neighbor repulsion. At half filling we find three phases: Superfluid (SF),…

Superconductivity · Physics 2007-05-23 F. Hebert , G. G. Batrouni , R. T. Scalettar , G. Schmid , M. Troyer , A. Dorneich

We derive an effective Hamiltonian for the two-dimensional Hubbard-Holstein model in the regimes of strong electron-electron and strong electron-phonon interactions by using a nonperturbative approach. In the parameter region where the…

Strongly Correlated Electrons · Physics 2018-10-17 A. Ghosh , S. Kar , S. Yarlagadda

We investigate the ground-state phase diagram of the soft-core Bose-Hubbard model with the nearest-neighbor repulsion on a square lattice by using an unbiased quantum Monte Carlo method. In contrast to the previous study[P. Sengupta {\it…

Quantum Gases · Physics 2012-08-29 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima

We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta , Leonid P. Pryadko , Fabien Alet , Matthias Troyer , Guido Schmid

We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , R. T. Scalettar , G. T. Zimanyi , A. P. Kampf

The effect of the next-nearest-neighbor (nnn) tunneling on the hard-core extended Bose-Hubbard model on square lattices is investigated. By means of the cluster mean-field theory, the ground-state phase diagrams are determined. When a…

Quantum Gases · Physics 2017-11-08 Yung-Chung Chen , Min-Fong Yang

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

Strongly Correlated Electrons · Physics 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

We study the softcore extended Bose Hubbard model in a two-dimensional triangular lattice by using the quantum Monte Carlo methods. The ground state phase diagram of the system exhibits a very fruitful structure. Except the Mott insulating…

Strongly Correlated Electrons · Physics 2015-06-25 Jing-Yu Gan , Yu-Chuan Wen , Yue-Yu

We investigate the crystalline stationary states of a dipolar Bose-Einstein condensate in a planar trapping geometry. Our focus is on the ground state phase diagram in the thermodynamic limit, where triangular, honeycomb and stripe phases…

Quantum Gases · Physics 2023-12-04 B. T. E. Ripley , D. Baillie , P. B. Blakie

We numerically study the ground state phase diagram of the two-dimensional hard-core Bose-Hubbard model with nearest ($V_1$) and next nearest neighbor ($V_2$) repulsions. In particular, we focus on the quarter-filled phases where one…

Other Condensed Matter · Physics 2015-04-15 Kwai-Kong Ng , Y. C. Chen , Y. C. Tzeng

We study quantum phase transitions in the ground state of the two dimensional hard-core boson Hubbard Hamiltonian. Recent work on this and related models has suggested ``supersolid'' phases with simultaneous diagonal and off-diagonal long…

Superconductivity · Physics 2009-10-31 G. G. Batrouni , R. T. Scalettar

We have systematically studied the hard-core Bose-Hubbard model with correlated hopping on a triangular lattice using density-matrix renormalization group method. A rich ground state phase diagram is determined. In this phase diagram there…

Strongly Correlated Electrons · Physics 2012-07-25 Hong-Chen Jiang , Liang Fu , Cenke Xu

The long-studied Hubbard model is one of the simplest models of copper-oxide superconductors. However, the connection between the model and the experimental phase diagram is still under debate, in particular regarding the existence and…

Strongly Correlated Electrons · Physics 2018-11-21 Andrew S. Darmawan , Yusuke Nomura , Youhei Yamaji , Masatoshi Imada

Hard-core bosons on a triangular lattice with nearest neighbor repulsion are a prototypical example of a system with supersolid behavior on a lattice. We show that in this model the physical origin of the supersolid phase can be understood…

Quantum Gases · Physics 2011-11-22 Xue-Feng Zhang , Raoul Dillenschneider , Yue Yu , Sebastian Eggert

Strong, long-range interactions present a unique challenge for the theoretical investigation of quantum many-body lattice models, due to the generation of large numbers of competing states at low energy. Here, we investigate a class of…

Using large-scale quantum Monte Carlo simulations we study bosons hopping on a triangular lattice with nearest (V) and next-nearest (V') neighbor repulsive interactions. In the limit where V=0 but V' is large, we find an example of an…

Strongly Correlated Electrons · Physics 2009-11-11 R. G. Melko , A. Del Maestro , A. A. Burkov

We study the extended Bose-Hubbard model on a two-dimensional honeycomb lattice by using large scale quantum Monte Carlo simulations. We present the ground state phase diagrams for both the hard-core case and the soft-core case. For the…

Other Condensed Matter · Physics 2013-05-29 Jing Yu Gan , Yu Chuan Wen , Jinwu Ye , Tao Li , Shi-Jie Yang , Yue Yu

We examine the zero and finite temperature phase diagrams of soft-core bosons of the extended Bose-Hubbard model on a square optical lattice. To study various quantum phases and their transitions we employ single-site and cluster Gutzwiller…

Quantum Gases · Physics 2020-07-23 K. Suthar , Hrushikesh Sable , Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , D. Angom

We establish the full groundstate phase diagram of disordered Bose-Hubbard model in two-dimensions at unity filling factor via quantum Monte Carlo simulations. Similarly to the three-dimensional case we observe extended superfluid regions…

Other Condensed Matter · Physics 2015-05-28 Şebnem Güneş Söyler , Mikhail Kiselev , Nikolay V. Prokof'ev , Boris V. Svistunov
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