Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states

Herland, Egil V.; Babaev, Egor; Bonderson, Parsa; Gurarie, Victor; Nayak, Chetan; Sudbø, Asle

doi:10.1103/physrevb.85.024520

Cited by 8 publications

(28 citation statements)

References 82 publications

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“…Instead, one usually has to rely on indirect numerical checks of some of the consequences of the generalized screening assumption (i). Recently, a plasma mapping has been succesfully constructed for the MR (Pfaffian) wavefunction [44,45], which opened the route to a direct numerical check of the screening hypothesis for this state [46]. The property (i) is therefore strongly supported by numerical evidence for the MR (Pfaffian) wavefunction, and it is plausible that it holds also for other states like the k = 3 RR state.…”

Section: Screeningmentioning

confidence: 88%

Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states

2012

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We consider the trial wavefunctions for the fractional quantum Hall effect that are given by conformal blocks, and construct their associated edge excited states in full generality. The inner products between these edge states are computed in the thermodynamic limit, assuming generalized screening (i.e. short-range correlations only) inside the quantum Hall droplet, and using the language of boundary conformal field theory (boundary CFT). These inner products take universal values in this limit: they are equal to the corresponding inner products in the bulk 2d chiral CFT which underlies the trial wavefunction. This is a bulk/edge correspondence; it shows the equality between equal-time correlators along the edge and the correlators of the bulk CFT up to a Wick rotation.This approach is then used to analyze the entanglement spectrum of the ground state obtained with a bipartition A ∪ B in real-space. Starting from our universal result for inner products in the thermodynamic limit, we tackle corrections to scaling using standard field-theoretic and renormalization group arguments. We prove that generalized screening implies that the entanglement Hamiltonian HE = − log ρA is isospectral to an operator that is local along the cut between A and B. We also show that a similar analysis can be carried out for particle partition. We discuss the close analogy between the formalism of trial wavefunctions given by conformal blocks and Tensor Product States, for which results analogous to ours have appeared recently. Finally, the edge theory and entanglement spectrum of px ± ipy paired superfluids are treated in a similar fashion in the appendix.

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Section: Screeningmentioning

confidence: 88%

Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states

2012

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“…This plasma is related 12 to inner products of quantummechanical trial wave functions of Ising-type quantum Hall states, such as the Moore-Read Pfaffian 14 , anti-Pfaffian 15,16 , and Bonderson-Slingerland hierarchy states 17 . For the charge values relevant to these states, the plasma was shown to be in its metallic liquid phase 13 , which allows for the calculation of the braiding statistics of quasiparticle excitations of these states 12 , confirming their conjectured non-Abelian statistics. This plasma is also related to rotating two-component Bose-Einstein condensates (BECs) in two dimensions 13 .…”

Section: Introductionmentioning

confidence: 52%

“…For the charge values relevant to these states, the plasma was shown to be in its metallic liquid phase 13 , which allows for the calculation of the braiding statistics of quasiparticle excitations of these states 12 , confirming their conjectured non-Abelian statistics. This plasma is also related to rotating two-component Bose-Einstein condensates (BECs) in two dimensions 13 .…”

Section: Introductionmentioning

confidence: 52%

“…The statistical physics of such systems has only recently begun to be explored. In a previous paper, we investigated the metal-insulator transition in a particular version of such a plasma 13 . In this paper, we will extend these investigations to a study of the freezing of such a plasma from a liquid to a Wigner crystal.…”

Section: Introductionmentioning

confidence: 99%

“…The canonical partition function of the unconventional two-component plasma that we investigate is given by 12,13 …”

Section: Introductionmentioning

confidence: 99%

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Freezing of an unconventional two-dimensional plasma

et al. 2013

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We study an unconventional two-dimensional, two-component classical plasma on a sphere, with emphasis on detecting signatures of melting transitions. This system is relevant to Ising-type quantum Hall states, and is unconventional in the sense that it features particles interacting via two different two-dimensional Coulomb interactions. One species of particles in the plasma carries charge of both types (Q1, Q2), while the other species carries only charge of the second type (0, −Q2). We find signatures of a freezing transition at Q 2 1140. This means that the species with charge of both types will form a Wigner crystal, whereas the species with charge of the second type also shows signatures of being a Wigner crystal, due to the attractive inter-component interaction of the second type. Moreover, there is also a Berezinskii-Kosterlitz-Thouless phase transition at Q 2 2 4, at which the two species of particles bind to form molecules that are neutral with respect to the second Coulomb interaction. These two transitions appear to be independent of each other, giving a rectangular phase diagram. As a special case, Q2 = 0 describes the (conventional) two-dimensional one-component plasma. Our study is consistent with previous studies of this plasma, and sheds new light on the freezing transition of this system.

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Asymmetric superconducting spin valves based on the Fe/V layer system grown on MgO(100)

Nowak

Westerholt

Zabel

2012

Supercond. Sci. Technol.

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We studied asymmetric superconducting spin valves with the layer sequence V/Fe/V/Fe/CoO, grown on MgO(100). These thin film heterostructures exhibit a superconducting spin valve (SSV) effect, that is, a difference, T s , between the superconducting transition temperatures T s with the magnetization directions of the two Fe layers oriented antiparallel and parallel. For pure Fe layers in the SSV we observe a maximum shift T s = 24 mK. On replacing the Fe layers with FeV alloy layers, the SSV effect was increased to a maximum value of T s = 35 mK. This is one of the largest shifts observed in SSV devices up to now, but still an order of magnitude smaller than the SSV effect observed in V layers grown on epitaxial Fe/V superlattices previously. Our results suggest a dominant importance of the Fe/V interface quality for the amplitude of the SSV effect.

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Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states

Cited by 8 publications

References 82 publications

Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states

Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states

Freezing of an unconventional two-dimensional plasma

Asymmetric superconducting spin valves based on the Fe/V layer system grown on MgO(100)

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