Majorana states and magnetic orbital motion in planar hybrid nanowires

Osca, Javier; Serra, Llorenç

doi:10.1103/physrevb.91.235417

Cited by 18 publications

(34 citation statements)

References 38 publications

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“…When present, C guarantees the absence of band structure tilting just like C. This symmetry is present in most theoretical models, and in particular it is obeyed by the Hamiltonians used in Refs. [18][19][20]. A finite B y breaks both R x and C ; therefore, the bands can tilt and close the topological gap.…”

Section: Symmetry Analysismentioning

confidence: 99%

“…The existing extensions of this model study multimode wires [10], better modeling of the induced gap [11,12], the role of electrostatics [13], disorder [14][15][16], and the kp model [17]. The orbital effect of a magnetic field was analyzed both in planar wires [18,19] and on the surface of a cylinder [20].…”

Section: Introductionmentioning

confidence: 99%

“…Our findings are very different from those of Refs. [18][19][20] because we do not limit our analysis to a Hamiltonian with an artificially high spatial symmetry, or low dimensionality.…”

Section: Introductionmentioning

confidence: 99%

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Orbital effect of magnetic field on the Majorana phase diagram

2016

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Studies of Majorana bound states in semiconducting nanowires frequently neglect the orbital effect of a magnetic field. Systematically studying its role leads us to several conclusions for designing Majoranas in this system. Specifically, we show that for experimentally relevant parameter values the orbital effect of a magnetic field has a stronger impact on the dispersion relation than the Zeeman effect. While Majoranas do not require the presence of only one dispersion subband, we observe that the size of the Majoranas becomes unpractically large, and the band gap unpractically small, when more than one subband is filled. Since the orbital effect of a magnetic field breaks several symmetries of the Hamiltonian, it leads to the appearance of large regions in parameter space with no band gap whenever the magnetic field is not aligned with the wire axis. The reflection symmetry of the Hamiltonian with respect to the plane perpendicular to the wire axis guarantees that the wire stays gapped in the topologically nontrivial region as long as the field is aligned with the wire.

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Section: Symmetry Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Orbital effect of magnetic field on the Majorana phase diagram

2016

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“…Orbital magnetic effects are included for perpendicular fields through the substitution

p_{x} \to p_{x} - ℏ y / l_{z}^{2}

as, for example, in Ref. , with the magnetic length defined by the perpendicular component of the field

B_{z}

l_{z}^{2} = ℏ c / {eB}_{z}

. The Zeeman parameter

δ_{B}

is related to the modulus of the magnetic field B as

δ_{B} = g^{*} μ_{B} B / 2

, with

g^{*}

the effective gyromagnetic factor and

μ_{B}

the Bohr magneton.…”

Section: Theoretical Model and Formalismmentioning

confidence: 99%

“…The results discussed below are given in the same unit system of Ref. , characterized by a length unit

L_{U}

and a corresponding energy unit

E_{U} = ℏ^{2} / {mL}_{U}^{2}

. A natural choice is

L_{U} = L_{y}

, the transverse width of the 2D stripe although below we will also use in some specific cases different values for

L_{U}

and

L_{y}

.…”

Section: Independently Tunable Fieldsmentioning

confidence: 99%

Topological suppression of magnetoconductance oscillations in normal-superconductor junctions

Osca

Serra

2017

Phys. Status Solidi B

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We show that the magnetoconductance oscillations of laterally‐confined two‐dimensional (2D) normal–superconductor (NS) junctions are completely suppressed when the superconductor side enters a topological phase. This suppression can be attributed to the modification of the vortex structure of local currents at the junction caused by the topological transition of the superconductor. The two regimes (with and without oscillations) could be seen in a semiconductor 2D junction with a cleaved‐edge geometry, one of the junction arms having proximitized superconductivity. We predict similar oscillations and suppression as a function of the Rashba coupling. The oscillation suppression is robust against differences in chemical potential and phases of lateral superconductors.

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