Vortex-Peierls States in Optical Lattices

Burkov, A. A.; Demler, Eugene

doi:10.1103/physrevlett.96.180406

Cited by 44 publications

(45 citation statements)

References 26 publications

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“…In contrast, if only one vortex is captured per pinning site the fractional matching effects above the first matching field are significantly reduced or missing [8]. Commensuration effects for vortices interacting with a periodic substrate have also recently been demonstrated for vortices in Bose-Einstein condensates where the pinning sites are created with an optical array [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Vortex molecular crystal and vortex plastic crystal states in honeycomb and kagomé pinning arrays

Reichhardt

2007

Phys. Rev. B

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Using numerical simulations, we investigate vortex configurations and pinning in superconductors with honeycomb and kagomé pinning arrays. We find that a variety of novel vortex crystal states can be stabilized at integer and fractional matching field densities. The honeycomb and kagomé pinning arrays produce considerably more pronounced commensuration peaks in the critical depinning force than triangular pinning arrays, and also cause additional peaks at noninteger matching fields where a portion of the vortices are located in the large interstitial regions of the pinning lattices. For the honeycomb pinning array, we find matching effects of equal strength at most fillings B/B φ = n/2 for n > 2, where n is an integer, in agreement with recent experiments. For kagomé pinning arrays, pronounced matching effects generally occur at B/B φ = n/3 for n > 3, while for triangular pinning arrays pronounced matching effects are observed only at integer fillings B/B φ = n. At the noninteger matching field peaks in the honeycomb and kagomé pinning arrays, the interstitial vortices are arranged in dimer, trimer, and higher order n-mer states that have an overall orientational order. We call these n-mer states "vortex molecular crystals" and "vortex plastic crystals" since they are similar to the states recently observed in colloidal molecular crystal systems. We argue that the vortex molecular crystals have properties in common with certain spin systems such as Ising and n-state Potts models. We show that kagomé and honeycomb pinning arrays can be useful for increasing the critical current above that of purely triangular pinning arrays.

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Section: Introductionmentioning

confidence: 99%

Vortex molecular crystal and vortex plastic crystal states in honeycomb and kagomé pinning arrays

Reichhardt

2007

Phys. Rev. B

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“…This allows us to conjecture that the effect of quantum fluctuations on the state is shown in Fig. 4 might lead to stabilization of a partial resonating state with a 3 by 3 R−3−3 ordering pattern 6,7 . Such a state is indeed found to be the true ground state in exact diagonalization 22 and QMC studies 11 .…”

Section: B Kagome Latticementioning

confidence: 99%

“…4,5,6,7 is that the quantum phase transition of the extended Bose-Hubbard model occurs due to destabilization of the superfluid phases by proliferation of vortices which are topological excitations of the superfluid phase. To analyze such a transition, one therefore needs to obtain an effective action for the vortex excitation.…”

Section: Competing Mott States and Quantum Phase Transitionmentioning

confidence: 99%

“…4,5,6,7 is the following. It is proposed that for non-integer rational fillings f = p/q of bosons per unit cell of the underlying lattice (p and q are integers), the theory of phase transition from the superfluid to the Mott insulator state is described in terms of the vortices which are non-local topological excitations of the superfluid phase, living on the dual lattice.…”

Section: Introductionmentioning

confidence: 99%

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Mott phases and quantum phase transitions of extended Bose–Hubbard models in 2+1 dimensions

Sengupta

2007

Physica A: Statistical Mechanics and its Applications

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We review the recent theoretical developments towards understanding the Mott phases and quantum phase transition of extended Bose-Hubbard models on lattices in two spatial dimensions . We focuss on the description of these systems using the dual vortex picture and point out the crucial role played by the geometry of underlying lattices in determining the nature of both the Mott phases and the quantum phase transitions. We also briefly compare the results of dual vortex theory with quantum Monte Carlo results.

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“…[15]). Phase separation between different vortex states driven by inhomogeneity in the condensate density [16] and vortex-Peierls states in some optical lattices are manifestations of quantumness in vortex physics that is enhanced by geometrical frustration [17].…”

Section: Introductionmentioning

confidence: 99%

Quantum vortex dynamics in two-dimensional neutral superfluids

2010

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We derive an effective action for the vortex-position degree of freedom in a superfluid by integrating out condensate phase-and density-fluctuation environmental modes. When the quantum dynamics of environmental fluctuations is neglected, we confirm the occurrence of the vortex Magnus force and obtain an expression for the vortex mass. We find that this adiabatic approximation is valid only when the superfluid droplet radius R, or the typical distance between vortices, is very much larger than the coherence length ξ . We go beyond the adiabatic approximation numerically, accounting for the quantum dynamics of environmental modes and capturing their dissipative coupling to condensate dynamics. For the case of an optical-lattice superfluid, we demonstrate that vortex motion damping can be adjusted by tuning the ratio between the tunneling energy J and the on-site interaction energy U . We comment on the possibility of realizing vortex-Landau-level physics.

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Vortex-Peierls States in Optical Lattices

Cited by 44 publications

References 26 publications

Vortex molecular crystal and vortex plastic crystal states in honeycomb and kagomé pinning arrays

Vortex molecular crystal and vortex plastic crystal states in honeycomb and kagomé pinning arrays

Mott phases and quantum phase transitions of extended Bose–Hubbard models in 2+1 dimensions

Quantum vortex dynamics in two-dimensional neutral superfluids

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