Polarized heat current generated by quantum pumping in two-dimensional topological insulators

Ronetti, Flavio; Carrega, Matteo; Ferraro, Dario; Rech, Jérôme; Jonckheere, Thibaut; Martin, Thierry; Sassetti, Maura

doi:10.1103/physrevb.95.115412

Cited by 28 publications

(20 citation statements)

References 100 publications

(254 reference statements)

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“…Indeed, the problem of heat conduction and manipulation at the nanoscale has become more actual than ever [25], as demonstrated by great recent progress in the field of quantum thermodynamics. Topics like quantum fluctuation-dissipation theorems [26][27][28][29][30], energy exchanges in open quantum systems [31,32], energy dynamics and pumping at the quantum level [33][34][35][36][37], coherent caloritronics [38,39], and thermoelectric phenomena [40][41][42] have all been extensively investigated, in an attempt to extend the known concepts of thermodynamics to the quantum realm. In this context, a particular emphasis has been focused on the role of quantum Hall edge states both from the theoretical [43][44][45][46][47][48] and experimental point of view [24,[49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Minimal excitation states for heat transport in driven quantum Hall systems

et al. 2017

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We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles between opposite edge states, thus acting as a beam splitter in the framework of the electron quantum optics. Excitations are then studied through heat and mixed noise generated by the random partitioning at the barrier. It is shown that levitons, the singleparticle excitations of a filled Fermi sea recently observed in experiments, represent the cleanest states for heat transport, since excess heat and mixed shot noise both vanish only when Lorentzian voltage pulses carrying integer electric charge are applied to the conductor. This happens in the integer quantum Hall regime and for Laughlin fractional states as well, with no influence of fractional physics on the conditions for clean energy pulses. In addition, we demonstrate the robustness of such excitations to the overlap of Lorentzian wavepackets. Even though mixed and heat noise have nonlinear dependence on the voltage bias, and despite the non-integer power-law behavior arising from the fractional quantum Hall physics, an arbitrary superposition of levitons always generates minimal excitation states.

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Section: Introductionmentioning

confidence: 99%

Minimal excitation states for heat transport in driven quantum Hall systems

et al. 2017

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“…where ∆(x) describes the superconducting proximity gap induced in the edge states [100][101][102][103]. In the following discussion, we will restrict to the case of a thin superconductor placed at position x = 0, such that ∆(x) = ∆δ(x).…”

Section: Modelmentioning

confidence: 99%

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

Ronetti

Carrega

Sassetti

2020

Phys. Rev. Research

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We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected to a thin superconductor. We focus on the case of a train of Lorentzian-shaped pulses, which are known to generate coherent single-electron excitations in two-dimensional electron gas, and prove that they are minimal excitations for charge transport also in helical edge states, even in the presence of spin-orbit interaction. Importantly, these properties of Lorentzian-shaped pulses can be tested computing charge noise generated by the scattering of particles at the thin superconductor. This represents a novel setup where electron quantum optics experiments with helical states can be implemented, with the superconducting contact as an effective beamsplitter. By elaborating on this configuration, we also evaluate charge noise in a collisional Hong-Ou-Mandel configuration, showing that, due to the peculiar effects induced by Rashba interaction, a non-vanishing dip at zero delay appears.

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“…Several proposals and realizations of thermal diodes for electronic heat flow exist, based on quantum dots [21][22][23][24][25], superconducting elements [26][27][28][29][30], the quantum Hall effect [31][32][33], and TI elements [34][35][36][37]. TIs have recently received much interest, as they host interesting physics such as spin-momentum locking, helical edge states, Majorana fermions, which are candidates for quantum computing [38][39][40][41] and have peculiar thermal transport properties [42][43][44][45]. Here, we consider a thermal diode for elec- Figure 1.…”

Section: Introductionmentioning

confidence: 99%

Phase-Tunable Thermal Rectification in the Topological SQUIPT

et al. 2019

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We theoretically explore the behavior of thermal transport in the topological SQUIPT, in the linear and nonlinear regime. The device consists of a topological Josephson junction based on a two-dimensional topological insulator in contact with two superconducting leads, and a probe tunnel coupled to the topological edge states of the junction. We compare the performance of a normal metal and a graphene probe, showing that the topological SQUIPT behaves as a passive thermal rectifier and that it can reach a rectification coefficient of up to 145% with the normal metal probe. Moreover, the interplay between the superconducting leads and the helical edge states leads to a unique behaviour due to a Doppler shift like effect, that allows one to influence quasi-particle transport through the edge channels via the magnetic flux that penetrates the junction. Exploiting this effect, we can greatly enhance the rectification coefficient for temperatures below the critical temperature TC in an active rectification scheme. arXiv:1811.02969v1 [cond-mat.mes-hall]

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Polarized heat current generated by quantum pumping in two-dimensional topological insulators

Cited by 28 publications

References 100 publications

Minimal excitation states for heat transport in driven quantum Hall systems

Minimal excitation states for heat transport in driven quantum Hall systems

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

Phase-Tunable Thermal Rectification in the Topological SQUIPT

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