Transport in line junctions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>5</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>quantum Hall liquids

Wang, Chenjie; Feldman, D. E.

doi:10.1103/physrevb.81.035318

Cited by 18 publications

(15 citation statements)

References 56 publications

(87 reference statements)

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“…A detailed discussion of a similar point can be found in Ref. 27. On the other hand, if ∆ < 3/2 the electron tunneling is relevant and we end up with a disorder-dominated phase with equilibrated edge modes at low temperatures.…”

Section: Discussionmentioning

confidence: 88%

“…The low temperature quantum Hall bar conductance is quantized at 7e 2 /2h just like in other nonequilibrated states with the same filling factor, Ref. 27. The above discussion ignores the two integer edge modes φ 0 1 , φ 0 2 always present in the second Landau level states.…”

Section: Discussionmentioning

confidence: 99%

“…A number of methods [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] were invented and several experiments [29][30][31][32][33][34][35][36][37][38][39][40] were performed in an attempt to determine the right ground state. One approach 39,40 consists in the measurement of the tunneling current through a quantum point contact (QPC) between the edges of a 5/2 FQH liquid.…”

Section: Introductionmentioning

confidence: 99%

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Influence of device geometry on tunneling in theν=52quantum Hall liquid

Yang

Feldman

2013

Phys. Rev. B

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Two recent experiments [I. P. Radu et al., Science 320, 899 (2008) and X. Lin et al., Phys. Rev. B 85, 165321 (2012)] measured the temperature and voltage dependence of the quasiparticle tunneling through a quantum point contact in the ν = 5/2 quantum Hall liquid. The results led to conflicting conclusions about the nature of the quantum Hall state. In this paper, we show that the conflict can be resolved by recognizing different geometries of the devices in the experiments. We argue that in some of those geometries there is significant unscreened electrostatic interaction between the segments of the quantum Hall edge on the opposite sides of the point contact. Coulomb interaction affects the tunneling current. We compare experimental results with theoretical predictions for the Pfaffian, SU (2)2, 331 and K = 8 states and their particle-hole conjugates. After Coulomb corrections are taken into account, measurements in all geometries agree with the spin-polarized and spin-unpolarized Halperin 331 states.

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Section: Discussionmentioning

confidence: 88%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Influence of device geometry on tunneling in theν=52quantum Hall liquid

Yang

Feldman

2013

Phys. Rev. B

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“…24,33 The existence of an upstream neutral edge mode favors the 113 state and the anti-Pfaffian state over the 331 state and the Pfaffian state. However, more experimental effort based on a variety of methods [34][35][36][37][38][39] is needed before one can draw a definite conclusion about the existence of upstream mode. Thus, it is necessary to have an alternative approach which offers additional data to test the proposal of the 113 topological order.…”

Section: Introductionmentioning

confidence: 99%

Probing theν=52quantum Hall state with electronic Mach-Zehnder interferometry

Yang

2015

Phys. Rev. B

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It was recently pointed out that Halperin's 113 topological order explains the transport experiments in the quantum Hall liquid at filling factor ν = 5/2. The 113 order, however, cannot be easily distinguished from other likely topological orders at ν = 5/2 such as the non-Abelian Pfaffian and anti-Pfaffian states and the Abelian Halperin 331 state in Fabry-Perot interferometry. In this paper, we show that an electronic Mach-Zehnder interferometer provides a clear identification of these candidate ν = 5/2 states. Specifically, the I-V curve for the tunneling current through the interferometer is more asymmetric in the 113 state than in other ν = 5/2 states. Moreover, the Fano factor for the shot noise in the interferometer can reach 13.6 in the 113 state, much greater than the maximum Fano factors 3.2 in the Pfaffian and anti-Pfaffian states and 2.3 in the 331 state.

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“…The simplest version of that question involves electron tunneling [5][6][7]. A more interesting setting is a Y-junction of Majorana modes that merge into a Dirac quantum channel.…”

Section: Introductionmentioning

confidence: 99%

Thermoelectric transport in junctions of Majorana and Dirac channels

et al. 2017

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We investigate the thermoelectric current and heat conductance in a chiral Josephson contact on a surface of a 3D topological insulator, covered with superconducting and magnetic insulator films. The contact consists of two junctions of Majorana and Dirac channels next to two superconductors. Geometric asymmetry results in a supercurrent without a phase bias. The interference of Dirac fermions causes oscillations of the electric and heat currents with an unconventional period 2Φ0 = h/e as functions of the Aharonov-Bohm flux. Due to the gapless character of Majorana modes, there is no threshold for the thermoelectric effect and the current-flux relationship is non-sinusoidal. Depending on the magnetic flux, the direction of the electric current can be both from the hot to cold lead and vice versa.

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Transport in line junctions ofν=52quantum Hall liquids

Cited by 18 publications

References 56 publications

Influence of device geometry on tunneling in theν=52quantum Hall liquid

Influence of device geometry on tunneling in theν=52quantum Hall liquid

Probing theν=52quantum Hall state with electronic Mach-Zehnder interferometry

Thermoelectric transport in junctions of Majorana and Dirac channels

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