Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors

Kundu, Arijit; Seradjeh, Babak

doi:10.1103/physrevlett.111.136402

Cited by 220 publications

(222 citation statements)

References 52 publications

(63 reference statements)

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“…Optical experiments, where edge states are routinely imaged directly [12,21], are in the best position to test our predictions. Alternatively, in transport measurements, the end states should give rise to transmission resonances, similar to the ones predicted for Floquet Majorana fermions [22].…”

Section: Discussionmentioning

confidence: 99%

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Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems

2014

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In periodically driven lattice systems, the effective (Floquet) Hamiltonian can be engineered to be topological; then, the principle of bulk-boundary correspondence guarantees the existence of robust edge states. However, such setups can also host edge states not predicted by the Floquet Hamiltonian. The exploration of such edge states and the corresponding unique bulk topological invariants has only recently begun. In this work we calculate these invariants for chiral symmetric periodically driven one-dimensional systems. We find simple closed expressions for these invariants, as winding numbers of blocks of the unitary operator corresponding to a part of the time evolution. This gives a robust way to tune these invariants using sublattice shifts. We illustrate our ideas on the periodically driven Su-Schrieffer-Heeger model, which, as we show, can realize a discrete-time quantum walk; this opens a useful connection between periodically driven lattice systems and discrete-time quantum walks. Our work helps interpret the results of recent simulations where a large number of Floquet Majorana fermions in periodically driven superconductors have been found.

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Section: Discussionmentioning

confidence: 99%

“…We now illustrate the concepts introduced above for the PDSSH model, given by (22) where c x annihilates the fermion on site x. For simplicity, we keep the intracell hopping amplitudes v(t) and the intercell 125143-3 hopping amplitudes w(t) real, homogeneous in space, and modulated periodically, with period 1.…”

Section: Example: the Periodically Driven Ssh Modelmentioning

confidence: 99%

Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems

2014

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“…In addition to the phenomena above, driven systems may also host unique types of robust topological phenomena, without analogues in static systems [3,[26][27][28][29][30][31][32]. A prominent example is Thouless's quantized adiabatic pump [33]: a gapped one-dimensional system transmits a precisely quantized charge when subjected to a periodic modulation, in the adiabatic limit of slow driving.…”

Section: Introductionmentioning

confidence: 99%

Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump

et al. 2016

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We show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator (AFAI). The AFAI is characterized by a quasienergy spectrum featuring chiral edge modes coexisting with a fully localized bulk. Such a spectrum is impossible for a time-independent, local Hamiltonian. These unique characteristics of the AFAI give rise to a new topologically protected nonequilibrium transport phenomenon: quantized, yet nonadiabatic, charge pumping. We identify the topological invariants that distinguish the AFAI from a trivial, fully localized phase, and show that the two phases are separated by a phase transition.

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“…Another focus 10,11 has been understanding and extending the proto-typical model that hosts Majorana modes, which is the Kitaev model 12 . There have also been generalisations which yield more than one Majorana mode at each of the edges 13,14 , Floquet generation of Majorana modes 15,16 , etc.…”

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confidence: 99%

Fingerprints of Majorana Bound States in Aharonov-Bohm Geometry

2016

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We study a ring geometry, coupled to two normal metallic leads, which has a Majorana bound state (MBS) embedded in one of its arm and is threaded by Aharonov Bohm (AB) flux φ. We show that by varying the AB flux, the two leads go through resonance in an anti-correlated fashion while the resonance conductance is quantized to 2e 2 /h. We further show that such anti-correlation is completely absent when the MBS is replaced by an Andreev bound state (ABS). Hence this anticorrelation in conductance when studied as a function of φ provides a unique signature of the MBS which cannot be faked by an ABS. We contrast the phase sensitivity of the MBS and ABS in terms of tunneling conductances. We argue that the relative phase between the tunneling amplitude of the electrons and holes from either lead to the level (MBS or ABS), which is constrained to 0, π for the MBS and unconstrained for the ABS, is responsible for this interesting contrast in the AB effect between the MBS and ABS.

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Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors

Cited by 220 publications

References 52 publications

Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems

Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems

Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump

Fingerprints of Majorana Bound States in Aharonov-Bohm Geometry

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