Weak localization and magnetoresistance in a two-leg ladder model

Schneider, Michael; Carr, Sam T.; Gornyi, I. V.; Mirlin, A. D.

doi:10.1103/physrevb.86.155141

Cited by 2 publications

(2 citation statements)

References 58 publications

(87 reference statements)

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“…[66], where disorder and some transport properties of a two-subband quantum wire were also studied; Ref. [100] where weak localization in the two-leg ladder was studied; and the recent publication [101] which looks at some aspects of the two-leg ladder in an ionic potential.…”

Section: Summary Of Previous Work On Ladder Modelsmentioning

confidence: 99%

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

2013

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We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorise all phases and transitions in the model (for incommensurate filling) and introduce "hopping-driven transitions" that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order.

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Section: Summary Of Previous Work On Ladder Modelsmentioning

confidence: 99%

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

2013

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“…We note in passing that the disentanglement of the quasiclassical trajectories and renormalization effects described above is similar to the procedure used in Refs. [56][57][58] for calculating the weak-localization correction in disordered Luttinger liquids.…”

Section: Calculation Of S0mentioning

confidence: 99%

Hanbury Brown and Twiss correlations in quantum Hall systems

et al. 2013

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We study a Hanbury Brown and Twiss (HBT) interferometer formed with chiral edge channels of a quantum Hall system. HBT cross correlations are calculated for a device operating both in the integer and fractional quantum Hall regimes, the latter at Laughlin filling fractions. We find that in both cases, when the current is dominated by electron tunneling, current-current correlations show antibunching, characteristic of fermionic correlations. When the current-current correlations are dominated by quasiparticle tunneling, the correlations reveal bunching, characteristic of bosons. For electron tunneling, we use the Keldysh technique, and show that the result for fractional filling factors can be obtained in a simple way from the results of the integer case. It is shown that quasiparticle-dominated cross-current correlations can be analyzed by means of a quantum master equation approach. We present here a detailed derivation of the results [G. Campaganano et al., Phys. Rev. Lett. 107, 106802 (2012)] and generalize them to all Laughlin fractions.

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Weak localization and magnetoresistance in a two-leg ladder model

Cited by 2 publications

References 58 publications

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

Hanbury Brown and Twiss correlations in quantum Hall systems

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