Thermal Interferometry of Anyons in Spin Liquids

Wei, Zezhu; Mitrović, Vesna; Feldman, D. E.

doi:10.1103/physrevlett.127.167204

Cited by 12 publications

(7 citation statements)

References 56 publications

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“…Within the bosonization formalism, we arrive at the following model of the interferometer 21 : (10) at ν = 1/(2n + 1), where L u,d are the actions of the upper and lower chiral edges with the charge densities e∂ x φ u,d /2π and Γ 1,2 are complex amplitudes with the phases α 1,2 . The two exponents describe quasiparticle tunneling between the two edges of the interferometer.…”

Section: A Bosonized Descriptionmentioning

confidence: 99%

“…The tunneling current between the upper and lower edges I = dQ u /dt = i[T, Q u ]/ , where Q u is the charge of the upper edge and T is the tunneling term in the square brackets in Eq. (10). Thus, the current operator is…”

Section: A Bosonized Descriptionmentioning

confidence: 99%

“…Several other experiments [5][6][7] have been interpreted in the same physical picture 8,9 . It was also proposed to extend interferometry to heat currents 10,11 .…”

Section: Introductionmentioning

confidence: 99%

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Robustness of quantum Hall interferometry

Feldman,

Halperin

2022

Preprint

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Fabry-Pérot interferometry has emerged as a tool to probe anyon statistics in the quantum Hall effect. The interference phase is interpreted as a combination of a quantized statistical phase and an Aharonov-Bohm phase, proportional to the device area and the charge of the anyons propagating along the device edge. This interpretation faces two challenges. First, the edge states have a finite width and hence the device area is ill-defined. Second, multiple localized anyons may be present in states that overlap with the edge, and it may not be clear whether a second anyon traveling along the edge will go inside or outside the region with a localized anyon and therefore whether or not it should pick up a statistical phase. We show how one may overcome both challenges. In a case where only one chiral edge mode passes through the constrictions defining the interferometer, as when electrons in a constriction are in a Laughlin state with ν = 1/(2n + 1) or the integer state at ν = 1, we show that the interference phase can be directly related to the total electron charge contained in the interferometer. This holds for arbitrary electron-electron interactions and holds even if the bulk of the interferometer has a higher electron density than the region of the constrictions. In contrast to the device area or to the number of anyons inside a propagating edge channel, the total charge is well-defined. We examine, at the microscopic level, how the relation between charge and phase is maintained when there is a soft confining potential and disorder near the edge of the interferometer, and we discuss briefly the complications that can occur when multiple chiral modes can pass through the constriction.

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Section: A Bosonized Descriptionmentioning

confidence: 99%

Section: A Bosonized Descriptionmentioning

confidence: 99%

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Robustness of quantum Hall interferometry

Feldman,

Halperin

2022

Preprint

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“…To establish the braiding operations, one desires the creation, observation, and manipulation of the flux excitations. In these viewpoints, several theoretical proposals have been made very recently [78][79][80][81][82][83][84][85]. However, experimental work has not achieved capturing flux states thus far.…”

Section: Introductionmentioning

confidence: 99%

Scattering phenomena for spin transport in Kitaev spin liquid

Nasu,

Murakami,

Koga

2022

Preprint

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The Kitaev model exhibits a canonical quantum spin liquid as a ground state and hosts two fractional quasiparticles, itinerant Majorana fermion and localized flux excitation. The former can carry heat and spin modulations in the quantum spin liquid, but the role of the latter remains unknown for the transport phenomena. Here, we focus on spin transport in the presence of excited fluxes and report that they yield strong interference in the propagation of the Majorana fermions, which feel gauge-like potential emergent around the fluxes. We examine the transient spin dynamics triggered by a pulsed magnetic field at an edge. In the absence of excited fluxes, the magnetic-field pulse creates the plane wave of the Majorana fermions, which flows in the quantum spin liquid. Although this wave does not accompany the change of local spin moments in bulk, it induces local moments at the side opposite to the edge under the magnetic-field pulse. We observe the spatial modulation of induced spin moments when fluxes are excited in the bulk region. This behavior is more striking than the case of lattice defects. Moreover, we find that, although the amplitude of the spatial change is almost independent of the distance between lattice defects, it is strongly enhanced by increasing the distance for the case of excited fluxes. The difference is understood from the influence on the itinerant Majorana fermions; the lattice defects change the system locally, but flux excitations alter all the transfer integrals on the string connecting them. The present results will provide another route to observing intrinsic flux excitations distinguished from extrinsic effects such as lattice defects.

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“…Exploiting Kitaev materials for fault-tolerant quantum computation requires the development of practical techniques, tailored to an electrically inert platform, for single-anyon detection as well as controlled generation and manipulation of anyons. Numerous anyon detection methods have recently been proposed in this context, relying on either variations of anyon interferometry [24][25][26][27] envisioned originally for quantum Hall platforms [28][29][30] or local probes such as scanning tunneling microscopy [31][32][33][34][35]. The prevailing strategy for anyon generation pursued so far seeks perturbations that locally remove the excitation energy for anyons-thus forcing them into the system's ground state at prescribed locations.…”

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confidence: 99%

Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids

Liu,

Slagle,

Burch

et al. 2021

Preprint

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Relativistic Mott insulators known as 'Kitaev materials' potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales-quantified by analytics and extensive simulations-deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.

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Thermal Interferometry of Anyons in Spin Liquids

Cited by 12 publications

References 56 publications

Robustness of quantum Hall interferometry

Robustness of quantum Hall interferometry

Scattering phenomena for spin transport in Kitaev spin liquid

Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids

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