Pfaffian Formula for Fermion Parity Fluctuations in a Superconductor and Application to Majorana Fusion Detection
Sign Up to like & getrecommendations! Published in 2019 at "Annalen der Physik"
DOI: 10.1002/andp.201900129
Abstract: Kitaev's Pfaffian formula equates the ground-state fermion parity of a closed system to the sign of the Pfaffian of the Hamiltonian in the Majorana basis. Using Klich's theory of full counting statistics for paired fermions… read more here.
Keywords: fermion; fermion parity; majorana; pfaffian formula ... See more keywords
Synthetic spin–orbit interaction for Majorana devices
Sign Up to like & getrecommendations! Published in 2019 at "Nature Materials"
DOI: 10.1038/s41563-019-0457-6
Abstract: The interplay of superconductivity with non-trivial spin textures is promising for the engineering of non-Abelian Majorana quasiparticles. Spin–orbit coupling is crucial for the topological protection of Majorana modes as it forbids other trivial excitations at… read more here.
Keywords: spin orbit; orbit interaction; spin; majorana ... See more keywords
Ballistic Majorana nanowire devices
Sign Up to like & getrecommendations! Published in 2018 at "Nature Nanotechnology"
DOI: 10.1038/s41565-017-0032-8
Abstract: Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics1–3. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor4,5, several tunnelling experiments reported characteristic Majorana signatures6–11. Reducing… read more here.
Keywords: majorana nanowire; ballistic majorana; energy; nanowire devices ... See more keywords
Topological superconductivity in a phase-controlled Josephson junction
Sign Up to like & getrecommendations! Published in 2019 at "Nature"
DOI: 10.1038/s41586-019-1148-9
Abstract: Topological superconductors can support localized Majorana states at their boundaries1–5. These quasi-particle excitations obey non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected manner6,7. Although signatures of Majorana… read more here.
Keywords: phase; topological superconductivity; josephson junction; junction ... See more keywords
Platform of chiral Majorana edge modes and its quantum transport phenomena
Sign Up to like & getrecommendations! Published in 2019 at "Communications Physics"
DOI: 10.1038/s42005-019-0250-5
Abstract: Majorana fermions, as electronic quasi-particle modes in solid states, have been under the focus of research due to their exotic physical properties. While the evidence of Majorana fermions as zero-dimensional bound states has been well… read more here.
Keywords: edge modes; chiral majorana; majorana edge; majorana fermions ... See more keywords
Probe Majorana zero modes through their spins
Sign Up to like & getrecommendations! Published in 2019 at "National Science Review"
DOI: 10.1093/nsr/nwy152
Abstract: A Majorana particle is a fermion that is identical to its own antiparticle. Majorana fermions are named after Ettore Majorana, who predicted this type of particle in 1937 [1]. He suggested that charge-neutral spin-1/2 particles… read more here.
Keywords: majorana zero; probe majorana; particle; majorana ... See more keywords
One-dimensional error-correcting code for Majorana qubits
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.042338
Abstract: Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of Majorana qubits can be drastically… read more here.
Keywords: majorana; error rate; majorana qubits; one dimensional ... See more keywords
Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.075419
Abstract: Majorana zero modes (MZM-s) occurring at the edges of a one-dimensional (1D), $p$-wave, spinless superconductor, in the absence of fluctuations of the phase of the superconducting order parameter, are quintessential examples of topologically protected zero-energy… read more here.
Keywords: majorana; hubbard model; bose hubbard; one dimensional ... See more keywords
Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.102.075424
Abstract: Majorana fermions subject to the non-Abelian braid group are believed to be the basic ingredients of future topological quantum computations. In this work, we propose to simulate Majorana fermions of the Kitaev model in electric… read more here.
Keywords: majorana; edge states; topological quantum; quantum ... See more keywords
Nonlocal conductance and the detection of Majorana zero modes: Insights from von Neumann entropy
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.l161403
Abstract: The topological origin of the zero bias conductance signatures obtained via conductance spectroscopy in topological superconductor hybrid systems is a much contended issue. Recently, nonlocal conductance signatures that exploit the non-locality of the zero modes… read more here.
Keywords: zero modes; majorana; von neumann; nonlocal conductance ... See more keywords
Successive Majorana topological transitions driven by a magnetic field in the Kitaev model
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.060416
Abstract: We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid… read more here.
Keywords: field; kitaev model; majorana; magnetic field ... See more keywords