Proposed Method for Tunneling Spectroscopy with Ohmic Dissipation Using Resistive Electrodes: A Possible Majorana Filter

Liu, Dong E.

doi:10.1103/physrevlett.111.207003

Cited by 34 publications

(32 citation statements)

References 42 publications

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“…Confirming the results of Ref. 20, we obtain a transition from perfect Andreev reflection to an isolating state of the normal-metal-MBS junction which can be controlled by the resistance of the circuit. When the environment resistance exceeds h/2e 2 , the linear conductance goes to zero at low temperatures.…”

Section: Discussionsupporting

confidence: 89%

Environmental Coulomb blockade of topological superconductor-normal metal junctions

Wölms

Flensberg

2015

Phys. Rev. B

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We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings who found a crossover between perfect Andreev reflection with conductance 2e 2 /h to a regime with blocked transport when the resistance of the environment is larger than 2e 2 /h, we consider Majorana bound states coupled to metallic dots. In particular, we study two topological superconducting leads connected by a metallic quantum dot in both the weak tunneling and strong tunneling regimes. For weak tunneling, we project onto the most relevant charge states. For strong tunneling, we start from the Andreev fixed point and integrate out charge fluctuations which gives an effective low-energy model for the non-perturbative gate-voltage modulated cotunneling current. In both regimes and in contrast to cotunneling with normal leads, the conductance is temperature independent because of the resonant Andreev reflections, which are included to all orders.

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Section: Discussionsupporting

confidence: 89%

Environmental Coulomb blockade of topological superconductor-normal metal junctions

Wölms

Flensberg

2015

Phys. Rev. B

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“…In addition to the transport properties [42][43][44][45][46][47][48][49][50][51][52][53][54], searching different signatures for the topological phase is an ongoing task for the investigation of Majorana fermions. From the experimental point of view, it not only provides more evidence for direct detection of Majorana fermions but also helps rule out different physical causes * Corresponding author.…”

Section: Introductionmentioning

confidence: 99%

Multiple signatures of topological transitions for interacting fermions in chain lattices

2015

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We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show that topological states and topological phase transitions in the system can be identified by multiple signatures in thermodynamic quantities and pair-condensate properties, in good agreement with the known signatures in the ground-state energy and entanglement spectrum. We find the disappearance of the topological phase in a largely attractive regime, in which the system undergoes a first-order transition between two topologically trivial states. In addition, the stability of the signatures against finite size, disorder, and inhomogeneity is analyzed. Our results provide additional degrees of freedom for the characterization of topological states with interaction and for the experimental detection of emergent Majorana fermions.

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“…The left diagram (along with a similar diagram with arrow direction change) corresponds to the first and the second lines in Eq. (53), the right diagram (along with a similar diagram with arrow direction change) corresponds to the third and fourth lines in Eq (53)…”

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confidence: 99%

“…(25), (30), and (31) into Eq. (53). In the T = 0 limit, we simplify the the anomalous part of the shot noise and obtain the result in the main text:…”

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confidence: 99%

Probing Majorana physics in quantum-dot shot-noise experiments

2015

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We consider a quantum dot coupled to a topological superconductor and two normal leads and study transport properties of the system. Using Keldysh path-integral approach, we study current fluctuations (shot noise) within the low-energy effective theory. We argue that the combination of the tunneling conductance and the shot noise through a quantum dot allows one to distinguish between the topological (Majorana) and non-topological (e.g., Kondo) origin of the zero-bias conduction peak. Specifically, we show that, while the tunneling conductance might exhibit zero-bias anomaly due to Majorana or Kondo physics, the shot noise is qualitatively different in the presence of Majorana zero modes.PACS numbers: 73.21. Hb, 71.10.Pm, 74.78.Fk, 72.70.+m Introduction. The search for topological superconductors hosting non-Abelian quasiparticles (defects binding Majorana zero modes) has become an active and exciting pursuit in condensed matter physics [1][2][3]. There has been enormous theoretical and experimental activity in this direction recently [4] fueled, in part, by the potential application of topological superconductors for the faulttolerant topological quantum computation schemes [5]. A large number of theoretical proposals for engineering topological superconductors in the laboratory has been put forward [6][7][8][9][10][11][12][13][14][15], and there has been a significant amount of experimental activity in this area recently [16][17][18][19][20][21][22][23][24][25]. One of the simplest ways to detect the presence of Majorana zero modes (MZMs) in topological superconductors (TSC) is tunneling spectroscopy. Indeed, the presence of MZMs leads to a quantized zero-bias conductance G = 2e 2 /h [26-33]. The pioneering Majorana experiment based on a semiconductor/superconductor heterostructure proposal [10,11] was performed in Delft [16] where the observation of zero-bias peak in a finite magnetic field was reported, consistent with the theoretical predictions [31]. However, other effects might also lead to the zero-bias anomaly which spurred the debate [34][35][36][37][38][39][40][41] as to the precise origin of the (un-quantized) zerobias conduction peak observed in recent tunneling experiments [16][17][18][19][20][21]. Therefore, additional experiments testing other properties on MZMs [17,36,37,[42][43][44][45][46][47][48][49][50][51][52][53][54] are necessary in order to reach a consensus.

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Proposed Method for Tunneling Spectroscopy with Ohmic Dissipation Using Resistive Electrodes: A Possible Majorana Filter

Cited by 34 publications

References 42 publications

Environmental Coulomb blockade of topological superconductor-normal metal junctions

Environmental Coulomb blockade of topological superconductor-normal metal junctions

Multiple signatures of topological transitions for interacting fermions in chain lattices

Probing Majorana physics in quantum-dot shot-noise experiments

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