AC conductivity of a quantum Hall line junction

Agarwal, Amit; Sen, Diptiman

doi:10.1088/0953-8984/21/37/375601

Cited by 3 publications

(2 citation statements)

References 46 publications

(109 reference statements)

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“…A crossover to the universally quantized G = ν [61] as the length of the disordered edge increases was considered for two counterpropagating channels both in the absence [65,66] and in the presence [60,67,68] of interchannel interaction. A model of local thermal equilibration [66], in which every pair of adjacent tunneling links is separated by voltage and temperature probes in each of the channels, was employed to explore, in the absence of interchannel interaction, also thermal transport and shot noise [69][70][71].…”

Section: Interchannel Equilibrationmentioning

confidence: 99%

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

Spånslätt,

Gefen,

Gornyi

et al. 2021

Preprint

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We study electron transport through a multichannel fractional quantum Hall edge in the presence of both interchannel interaction and random tunneling between channels, with emphasis on the role of contacts. The prime example in our discussion is the edge at filling factor 2/3 with two counterpropagating channels. Having established a general framework to describe contacts to a multichannel edge as thermal reservoirs, we particularly focus on the line-junction model for the contacts and investigate incoherent charge transport for an arbitrary strength of interchannel interaction beneath the contacts and, possibly different, outside them. We show that the conductance does not explicitly depend on the interaction strength either in or outside the contact regions (implicitly, it only depends through renormalization of the tunneling rates). Rather, a long line-junction contact is characterized by a single parameter which defines the modes that are at thermal equilibrium with the contact and is determined by the interplay of various types of scattering beneath the contact. This parameter-playing the role of an effective interaction strength within an idealized model of thermal reservoirs-is generically nonzero and affects the conductance. We formulate a framework of fractionalization-renormalized tunneling to describe the effect of disorder on transport in the presence of interchannel interaction. Within this framework, we give a detailed discussion of charge equilibration for arbitrarily strong interaction in the bulk of the edge and arbitrary effective interaction characterizing the line-junction contacts.

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Section: Interchannel Equilibrationmentioning

confidence: 99%

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

Spånslätt,

Gefen,

Gornyi

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…( 17) of Ref. [37], which were derived for counter-propagating quantum Hall edge states which interact with each other. Furthermore this simpler case can also be derived by considering a step-like variation of the interaction strength, i.e.…”

Section: A Trs Preserving (M2) Fixed Pointsmentioning

confidence: 99%

Time-resolved transport properties of a Y junction of Tomonaga-Luttinger liquid wires

Agarwal

2014

Phys. Rev. B

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We study time resolved transport properties of a Y -junction composed of interacting onedimensional quantum wires using a bosonization approach. In particular, we investigate the AC conductivity of the Y -junction formed from finite length Tomonaga-Luttinger liquid wires based on a plasmon scattering approach for injected charge pulses of arbitrary shapes. In addition, we calculate the tunneling current and quantum noise of the Y -junction arising from point-like tunneling impurities at the junction, including finite temperature effects. Our results will be useful for designing nano-electronic quantum circuits, and for interpreting time-resolved experiments [H. Kamata et. al., Nat. Nanotechnol. 9, 177 (2014)] in interacting wires and their junctions.

show abstract

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

et al. 2021

View full text Add to dashboard Cite

AC conductivity of a quantum Hall line junction

Cited by 3 publications

References 46 publications

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

Time-resolved transport properties of a Y junction of Tomonaga-Luttinger liquid wires

Contacts, equilibration, and interactions in fractional quantum Hall edge transport

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