Chiral Mott insulator with staggered loop currents in the fully frustrated Bose-Hubbard model

Dhar, Arya; Mishra, Tapan; Maji, Maheswar; Pai, Ramesh V.; Mukerjee, Subroto; Paramekanti, Arun

doi:10.1103/physrevb.87.174501

Cited by 108 publications

(110 citation statements)

References 49 publications

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“…The chiral MI ground state thus supports a staggered (antiferromagnetic) angular momentum pattern, with a non-zero order parameter L stag z ðrÞ ¼ ð À 1Þ rx þ ry L z ðrÞ out to arbitrarily strong coupling. Such staggered time-reversal symmetry broken MIs, albeit for far more delicate plaquette currents, are known to emerge in frustrated Bose Hubbard models without orbital degrees of freedom, but only in an extremely small parameter window of interactions [39][40][41] . As schematically shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

Proposed formation and dynamical signature of a chiral Bose liquid in an optical lattice

Paramekanti

Hemmerich

et al. 2014

Nat Commun

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Recent experiments on p-orbital atomic bosons have suggested the emergence of a spectacular ultracold superfluid with staggered orbital currents in optical lattices. This raises fundamental questions concerning the effects of thermal fluctuations as well as possible ways of directly observing such chiral order. Here we show via Monte Carlo simulations that thermal fluctuations destroy this superfluid in an unexpected two-step process, unveiling an intermediate normal phase with spontaneously broken time-reversal symmetry, dubbed a 'chiral Bose liquid'. For integer fillings (nZ2) in the chiral Mott regime, thermal fluctuations are captured by an effective orbital Ising model, and Onsager's powerful exact solution is adopted to determine the transition from this intermediate liquid to the paraorbital normal phase at high temperature. A lattice quench is designed to convert the staggered angular momentum, previously thought by experts difficult to directly probe, into coherent orbital oscillations, providing a time-resolved dynamical signature of chiral order.

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Section: Resultsmentioning

confidence: 99%

Proposed formation and dynamical signature of a chiral Bose liquid in an optical lattice

Paramekanti

Hemmerich

et al. 2014

Nat Commun

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“…This behaviour of the current is a signature of the emergence fractional chiral excitations. It distinguishes the 1D FQH state from other phases containing chiral currents such as the Mott insulator phases 9,27,[41][42][43][44] . Stabilization of FQH phases for small inter-chain coupling and low filling factors ν < 1/2 requires interaction range beyond on-rung.…”

Section: Further Corrections and Validity Regimementioning

confidence: 99%

Chiral currents in one-dimensional fractional quantum Hall states

2015

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We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, ν, of particle density to magnetic flux shapes the phase-space, as in quantum Hall effects. In fermionic (bosonic) ladders, when ν equals one over an odd (even) integer, Laughlin fractional quantum Hall (FQH) states are stabilized for sufficiently long ranged repulsive interactions. As a signature of these fractional states, we find a unique dependence of the chiral currents on particle density and on magnetic flux. This dependence is characterized by the fractional filling factor ν, and forms a stringent test for the realization of FQH states in ladders, using either numerical simulations or future ultracold-atom experiments. The two-leg model is equivalent to a single spinful chain with spin-orbit interactions and a Zeeman magnetic field, and results can thus be directly borrowed from one model to the other.

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“…On the other hand, the ability to produce frustration in optical lattices of cold atoms has opened up possibilities to realize interesting superfluid and Mott states which have additional kinds of order arising from the kinetic frustration [22][23][24]. Kinetic frustration in these systems is produced by the competition of two different hopping processes from a site to different sites with different signs of the hopping amplitude.…”

Section: Introductionmentioning

confidence: 99%

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

Mishra¹,

Pai

Mukerjee

2014

Phys. Rev. A

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We study a system of hardcore 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 (BO) solid to a Charge-Density-Wave(CDW) 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 (SS) phase which has concurrent off-diagonal long range order and density wave order which is unusual in a system of hardcore bosons in one dimension. Using the finite-size Density-Matrix Renormalization Group (DMRG) method, we obtain the complete phase diagram for this model.

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Chiral Mott insulator with staggered loop currents in the fully frustrated Bose-Hubbard model

Cited by 108 publications

References 49 publications

Proposed formation and dynamical signature of a chiral Bose liquid in an optical lattice

Proposed formation and dynamical signature of a chiral Bose liquid in an optical lattice

Chiral currents in one-dimensional fractional quantum Hall states

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

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