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We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

We describe the localization transition of superfluids on two-dimensional lattices into commensurate Mott insulators with average particle density p/q (p, q relatively prime integers) per lattice site. For bosons on the square lattice, we…

Strongly Correlated Electrons · Physics 2007-05-23 Leon Balents , Lorenz Bartosch , Anton Burkov , Subir Sachdev , K. Sengupta

We present a detailed study of the Bose-Hubbard model in a $p$-band triangular lattice by focusing on the evolution of orbital order across the superfluid-Mott insulator transition. Two distinct phases are found in the superfluid regime.…

Strongly Correlated Electrons · Physics 2021-07-13 Hua Chen , X. C. Xie

We examine the effects of quantum fluctuations on a classical spin liquid state in the fully-frustrated honeycomb lattice Bose Hubbard model using quantum Monte Carlo simulations. Frustration is induced explicitly in the model by modulating…

Strongly Correlated Electrons · Physics 2011-05-24 Stephen Inglis , Roger G. Melko

The checkerboard lattice, with alternating 'crossed' plaquettes, serves as the two dimensional analog of the pyrochlore lattice. The corner sharing plaquette structure leads to a hugely degenerate ground state, and no magnetic order, for…

Strongly Correlated Electrons · Physics 2017-01-24 Nyayabanta Swain , Pinaki Majumdar

The spontaneously broken of translational symmetry is usually due to the competition between local interactions and long-range interactions. However, in this paper, we show how a crystalline order can be generated by the competition between…

Quantum Gases · Physics 2019-04-12 Chao Feng , Yu Chen

Weakly interacting atomic or molecular bosons in quantum degenerate regime and trapped in harmonically confined optical lattices, exhibit a wedding cake structure consisting of insulating (Mott) shells. It is shown that superfluid regions…

Other Condensed Matter · Physics 2009-11-13 Kaushik Mitra , C. J. Williams , C. A. R. Sa de Melo

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

We study two models realized by two-component Fermi gases loaded in optical lattices. We clarify that multi-band effects inevitably caused by the optical lattices generate a rich structure, when the systems crossover from the region of…

Quantum Gases · Physics 2015-05-14 Ryota Watanabe , Masatoshi Imada

We study the interplay of Mott localization, geometric frustration, and superfluidity for hard-core bosons with nearest-neighbor repulsion on the triangular lattice. For this model at half-filling, we demonstrate that superfluidity survives…

Strongly Correlated Electrons · Physics 2009-11-11 R. G. Melko , A. Paramekanti , A. A. Burkov , A. Vishwanath , D. N. Sheng , L. Balents

We investigate the Hubbard model on two typical frustrated lattices in two dimensions, the kagome lattice and the anisotropic triangular lattice, by means of the cellular dynamical mean field theory. We show that the metallic phase is…

Strongly Correlated Electrons · Physics 2015-05-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

Various types of superfluid-insulator transitions are investigated for two-component lattice boson systems in two dimensions with on-site hard-core repulsion and the component-dependent intersite interaction. The mean-field phase diagram is…

Condensed Matter · Physics 2007-05-23 Yukitoshi Motome , Masatoshi Imada

Disorder or quasi-disorder is known to favor the localization in many-body Bose systems. Here in contrast, we demonstrate an anomalous delocalization effect induced by incommensurability in quasiperiodic lattices. Loading ultracold atoms in…

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

Quantum Gases · Physics 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

We consider a realization of the two-species bosonic Hubbard model with variable interspecies interaction and hopping strength. We analyze the superfluid-insulator (SI) transition for the relevant parameter regimes and compute the ground…

Statistical Mechanics · Physics 2009-11-11 A. Isacsson , Min-Chul Cha , K. Sengupta , S. M. Girvin

Using the density matrix renormalization group method, we studied the ground state of the one-dimensional $S=1$ Bose-Hubbard model with local three-body interactions, which can be a superfluid or a Mott insulator state. We drew the phase…

Quantum Gases · Physics 2019-03-19 A. F. Hincapie-F , R. Franco , J. Silva-Valencia

We review our theoretical analysis of repulsively interacting three-component fermionic atoms in optical lattices. We discuss quantum phase transitions at around half filling with a balanced population by focusing on Mott transitions,…

Quantum Gases · Physics 2013-05-10 Kensuke Inaba , Sei-ichiro Suga

Motivated by the recent progress in realizing and controlling extended Bose-Hubbard systems using excitonic or atomic devices, the present Letter theoretically investigates the case of a two-band Bose-Hubbard chain with nearest-neighbor…

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