Temperature-Induced Spontaneous Time-Reversal Symmetry Breaking on the Honeycomb Lattice

Liu, Wei; Punnoose, Alexander

doi:10.1103/physrevlett.114.176402

Cited by 4 publications

(2 citation statements)

References 28 publications

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“…On the other hand, quantum gases with magnetic dipole-dipole interaction (DDI), especially the BECs with DDI, have also drawn much attention both experimentally [35][36][37][38] and theoretically [39][40][41][42][43][44][45][46][47][48] in recent years. Relevant studies on spinor BECs with DDI have shown that the interplay between the short-range spin-exchange interaction and the long-range anisotropic DDI can lead to rich topological defects, spin textures and spin dynamics [39,40].…”

Section: Introductionmentioning

confidence: 99%

Topological defects in rotating spin–orbit-coupled dipolar spin-1 Bose–Einstein condensates

Su¹,

Wang²,

Hu³

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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We consider the topological defects and spin structures of spin-1 Bose–Einstein condensates with spin–orbit coupling (SOC) and dipole–dipole interaction (DDI) in a rotating harmonic plus quartic trap. The combined effects of SOC, DDI and rotation on the ground-state phases of the system are analyzed. Our results show that for fixed rotation frequency structural phase transitions can be achieved by adjusting the magnitudes of the SOC and DDI. A ground-state phase diagram is given as a function of the SOC and DDI strengths. It is shown that the system exhibits rich quantum phases including vortex string phase with isolated density peaks (DPs), triangular (square) vortex lattice phase with DPs, checkerboard phase, and stripe phase with hidden vortices and antivortices. For given SOC and DDI strengths, the system can display pentagonal vortex lattice with DPs, vortex necklace with DPs, and exotic topological structure composed of multi-layer visible vortex necklaces, a hidden giant vortex and hidden vortex necklaces, depending on the rotation frequency. In addition, the system sustains fascinating novel spin textures and skyrmion excitations, such as an antiskyrmion pair, antiskyrmion-half-antiskyrmion (antiskyrmion–antimeron) cluster, skyrmion–antiskyrmion lattice, skyrmion–antiskyrmion cluster, skyrmion–antiskyrmion–meron–antimeron lattice, double-layer half-antiskyrmion necklaces, and composite giant-antiskyrmion–antimeron necklaces.

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Section: Introductionmentioning

confidence: 99%

Topological defects in rotating spin–orbit-coupled dipolar spin-1 Bose–Einstein condensates

Su¹,

Wang²,

Hu³

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

show abstract

“…Since the dipole-dipole coupling is strongest between nearest neighbors, and decays as a function of distance between lattice sites to the order 1 |r| 3 , we consider the pairing to be between nearest neighbors [26,[59][60][61]. We describe the superfluid order parameter as Δ i j = V i j c i c j δ j,i+ê λ with λ = x, y.…”

Section: Model and Resultsmentioning

confidence: 99%

Topological supersolidity of dipolar Fermi gases in a spin-dependent optical lattice

Wang

Zheng

Zhuang

et al. 2020

J. Phys.: Condens. Matter

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We investigate topological supersolidity of dipolar Fermi gases in a spin-dependent 2D optical lattice. Numerical results show that the topological supersolid states can be synthesized via the combination of topological superfluid states with the stripe order, where the topological superfluid states generated with dipolar interaction possess the ∆x + i∆y order, and it is of D class topological classification. By adjusting the ratio between hopping amplitude tx/ty and interaction strength U with dipole orientation φ ≈ π 4 , the system will undergo phase transitions among the px + ipy-wave topological superfluid state, the p-wave superfluid state, and the topological supersolid state. The topological supersolid state is proved to be stable by the positive sign of the inverse compressibility. We design an experimental protocol to realize the staggered next-next-nearest-neighbor hopping via the laser assisted tunneling technique, which is the key to synthesize topological supersolid states.

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Cluster mean-field analysis for spontaneous symmetric breaking in a bidirectional two-lane system with narrow entrances and parallel update

Tian

Jiang

et al. 2017

EPL

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This paper carries out a cluster mean-field analysis for spontaneous symmetric breaking in a two-lane asymmetric exclusion process with narrow entrances and parallel update. We demonstrate that the asymmetric low-density/low-density phase does not exist, based on a current minimization principle. With the increase of the cluster number in the cluster mean-field analysis, an exponential decay of the boundary between asymmetric high-density/low-density phase and symmetric low-density phase as well as the bulk density in the symmetric low-density phase has been observed, which enables us to predict the phase boundary and the bulk density in the exact solution. The predicted results are in agreement with simulations.

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Temperature-Induced Spontaneous Time-Reversal Symmetry Breaking on the Honeycomb Lattice

Cited by 4 publications

References 28 publications

Topological defects in rotating spin–orbit-coupled dipolar spin-1 Bose–Einstein condensates

Topological defects in rotating spin–orbit-coupled dipolar spin-1 Bose–Einstein condensates

Topological supersolidity of dipolar Fermi gases in a spin-dependent optical lattice

Cluster mean-field analysis for spontaneous symmetric breaking in a bidirectional two-lane system with narrow entrances and parallel update

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