Charged spin textures over the Moore–Read quantum Hall state

Romers, Jesper; Huijse, Liza; Schoutens, Kareljan

doi:10.1088/1367-2630/13/4/045013

“…In that case, the energy gap is the same as the one of the fully polarized regime. Note that the spinful excitations of the MR states have been studied both numerically 44 and analytically 45 in the context of the fermionic ν = 5 2 FQHE. But to our knowledge, no study has considered the bosonic case.…”

Section: Inter-layer Interaction Effectmentioning

confidence: 99%

Phase diagram ofν=12+12bilayer bosons with interlayer couplings

Liu

¹

,

Vaezi

²

,

Repellin

³

et al. 2016

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We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor ν = 1 in the lowest Landau level. We consider short-range interactions within and between the two layers, as well as the inter-layer tunneling. In the fully polarized regime, we provide an updated detailed numerical analysis to establish the presence of the Moore-Read phase of both even and odd numbers of particles. In the actual bilayer situation, we find that both inter-layer interactions and tunneling can provide the physical mechanism necessary for the low-energy physics to be driven by the fully polarized regime, thus leading to the emergence of the Moore-Read phase. Inter-layer interactions favor a ferromagnetic phase when the system is SU (2) symmetric, while the inter-layer tunneling acts as a Zeeman field polarizing the system. Besides the Moore-Read phase, the (220) Halperin state and the coupled Moore-Read state are also realized in this model. We study their stability against each other.

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“…In that case, the energy gap is the same as the one of the fully polarized regime. Note that the spinful excitations of the MR states have been studied both numerically 42 and analytically 43 in the context of the fermionic ν = 5 2 FQHE. But to our knowledge, no study has considered the bosonic case.…”

Section: A the Su (2) Symmetric Regimementioning

confidence: 99%

Phase diagram of $ν=\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings

Liu,

Vaezi,

Repellin

et al. 2015

Preprint

0

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We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor ν = 1 in the lowest Landau level. We consider short-range interactions within and between the two layers, as well as the inter-layer tunneling. In the fully polarized regime, we provide an updated detailed numerical analysis to establish the presence of the Moore-Read phase of both even and odd numbers of particles. In the actual bilayer situation, we find that both inter-layer interactions and tunneling can provide the physical mechanism necessary for the low-energy physics to be driven by the fully polarized regime, thus leading to the emergence of the Moore-Read phase. Inter-layer interactions favor a ferromagnetic phase when the system is SU (2) symmetric, while the inter-layer tunneling acts as a Zeeman field polarizing the system. Besides the Moore-Read phase, the (220) Halperin state and the coupled Moore-Read state are also realized in this model. We study their stability against each other.

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“…In this issue, quantum Hall physics was also discussed in other physical realizations ranging from mono-layer and bilayer graphene [30] to cold atoms in non-Abelian gauge fields [31,32]. The presence of extra degrees of freedom, such as spin and valley, over the conventionally studied spinless electrons provides the freedom to have richer physics, including charged spin textures [33]. In another direction, a nice theoretical advance (the extension of a many-year project by some of the same authors and others) was the development of a conformal field theory approach to the quantum Hall hierarchies [34].…”

mentioning

confidence: 99%

Focus on topological quantum computation

Pachos

¹

,

Simon

²

2014

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Topological quantum computation started as a niche area of research aimed at employing particles with exotic statistics, called anyons, for performing quantum computation. Soon it evolved to include a wide variety of disciplines. Advances in the understanding of anyon properties inspired new quantum algorithms and helped in the characterization of topological phases of matter and their experimental realization. The conceptual appeal of topological systems as well as their promise for building fault-tolerant quantum technologies fuelled the fascination in this field. This 'focus on' collection brings together several of the latest developments in the field and facilitates the synergy between different approaches.

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Charged spin textures over the Moore–Read quantum Hall state

Cited by 4 publications

References 20 publications

Phase diagram ofν=12+12bilayer bosons with interlayer couplings

Phase diagram ofν=12+12bilayer bosons with interlayer couplings

Phase diagram of $ν=\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings

Focus on topological quantum computation

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