Reentrant melting of soliton lattice phase in a bilayer quantum Hall system

Park, S.; Moon, Kyungsun; Ahn, Changrim; Yeo, Joonhyun; Rim, Chaiho; Lee, B. H.

doi:10.1103/physrevb.66.153318

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…[105]. It is also related to previous work on quantum Hall bilayer systems [106,107,108,109,110], with the important difference that the boundary conditions in the present case are dx ∂ x φ = 0, while in Refs. [107,65,105] (amongst numerous others), there is no such restriction on φ.…”

Section: Actionsupporting

confidence: 52%

Ultracold atoms in optical lattices with long-range interactions and periodic driving

Tieleman

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This thesis contains theoretical research on ultracold quantum gases in spatially periodic potentials, featuring high-frequency periodic driving, long-range interactions, or both. The largest part features deep potentials where the behaviour of the gas is well-described by quantum lattice models. The periodic driving is then integrated out to obtain effective time-independent descriptions. One project investigates emergent long-range interactions in a stationary, weak, spatially periodic potential, where a lattice theory is not appropriate.In two short introductory chapters, the topics of ultracold atoms, optical lattice potentials, periodic driving, and long-range interactions, are sketched, without attempting to give a complete overview. Some experimentally relevant length and energy scales are given, but the main focus is on deriving and constructing theoretical descriptions of ultracold gases in various spatially and/or temporally periodic potentials.The first project presented, is focused on how the single-particle spectrum of a Bose gas in a non-separable two-dimensional square lattice is affected by high-frequency periodic driving; the most striking conclusion is that under suitable circumstances, it develops two inequivalent minima, leading to finite-momentum Bose-Einstein condensation. Perturbative calculations indicate that local interactions induce spontaneous time-reversal symmetry breaking (TRSB) in such a system.The second project investigates the interplay between kinetic frustration and long-range interactions in fermionic gases. Both a mean-field approximation and exact diagonalisations predict that such a system, studied in the more specific realisation of a weakly interacting dipolar fermionic gas in a 2D triangular lattice, also leads to spontaneous TRSB. Furthermore, a density wave could form at quarter filling, where the Fermi surface is perfectly nested. Perhaps more interesting yet, a spatially inhomogeneous TRSB pattern is predicted, confined to the low-density sublattice that emerges in the density wave.The third project revolves around the question of supersolidity in the presence of a gauge field. Applying the Bogolyubov approximation to a variation of the extended Bose-Hubbard model, indicates that combining an artificial staggered magnetic field in a 2D square lattice with nearest-neighbour density-density interactions, not only leads to a supersolid with staggered vortices, but also induces an inhomogeneous distribution of the associated currents around the elementary plaquette.In the fourth project, a one-dimensional Bose gas with strong local interactions in a weak lattice at incommensurate densities is shown to feature excitations corresponding to excess or deficit particles. The excitations interact repulsively at long distances, in spite of the fact that the underlying atoms themselves do not. As a consequence, the incommensurability of the density with the lattice can drive a transition to a density wave and even a supersolid.The four above-mentioned research projects combine bosonic and fermionic gases, weak and strong interactions, perturbative and mean-field approximations, effective field theories and exact diagonalisations. The main overall conclusion is that long-range interactions and high-frequency periodic driving lead to a very diverse range of fascinating phenomena in ultracold lattice gases.

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Section: Actionsupporting

confidence: 52%

Ultracold atoms in optical lattices with long-range interactions and periodic driving

Tieleman

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“…More accurate pictures of this commensurate-incommensurate ͑C-IC͒ phase transition have suggested the existence of a domain structure of pseudospins in the IC phase, which is called a soliton-lattice ͑SL͒ phase. 2,[9][10][11][12][13][14][15] In the SL phase, domains of the commensurate phase are separated by a pseudospin soliton, in which the pseudospin slips by 2 around a magnetic flux penetrating between the two layers. An important feature of the SL is that its translational symmetry is broken by the introduction of periodic kinks of pseudospins.…”

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confidence: 99%

“…Since the SL spontaneously breaks the translational symmetry of the two-dimensional system, the KT transition is expected to appear. 9,13,15 When the temperature is higher than a critical temperature, the SL is expected to melt into a randomly distributed array because of unbound dislocations. While the melting of the lattice is suggested to be detected by an abrupt increase in R xx , 13,15 the temperature dependence of R xx ͓inset of Fig.…”

mentioning

confidence: 99%

Activation study of collective excitations of the soliton-lattice phase in theν=1double-layer quantum Hall state

et al. 2010

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We investigate thermal excitations of the pseudospin soliton lattice in the double-layer quantum Hall ͑QH͒ state at total Landau-level filling factor = 1 by detailed measurements of the activation energy gap, where the pseudospin represents the layer degree of freedom. In a tilted magnetic field, the activation energy gap of the double-layer = 1 QH state shows a minimum near the phase transition point between the commensurate and incommensurate states. From a comparison of the in-plane field dependence of the activation energy gap with theories, we suggest that the minimum in the activation energy gap is due to collective modes of the soliton lattice.

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Anisotropic magnetotransport by the pseudospin soliton in the bilayer quantum Hall system

Fukuda

Morino

Iwata

et al. 2008

Physica E: Low-dimensional Systems and Nanostructures

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Reentrant melting of soliton lattice phase in a bilayer quantum Hall system

Cited by 7 publications

References 13 publications

Ultracold atoms in optical lattices with long-range interactions and periodic driving

Ultracold atoms in optical lattices with long-range interactions and periodic driving

Activation study of collective excitations of the soliton-lattice phase in theν=1double-layer quantum Hall state

Anisotropic magnetotransport by the pseudospin soliton in the bilayer quantum Hall system

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