Synthetic helical liquid in a quantum wire

Japaridze, G. I.; Johannesson, Henrik; Malard, Mariana

doi:10.1103/physrevb.89.201403

Cited by 10 publications

(10 citation statements)

References 49 publications

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“…The HLL put forward in Ref. 43 is different from the ones that have so far been studied experimentally: It is neither holographic 40 (unlike the edge states of a quantum spin Hall insulator) nor quasihelical 55 (unlike a magnetic-field-assisted helical liquid). The timereversal analog of the fermion-doubling problem implied by Kramers' theorem 40 is instead avoided by the fact that the gapped branch breaks time-reversal symmetry spontaneously by developing a spin-density wave (SDW).…”

Section: B Bosonized Theorymentioning

confidence: 93%

“…In Ref. 43 we analyzed the bosonized theory defined by Eqs. ( 18)-( 20) in the absence of superconducting pairing, i.e.…”

Section: B Bosonized Theorymentioning

confidence: 99%

“…Specifically, we shall build on a recent proposal of ours, where a 1D helical system is engineered using a quantum wire subject to a periodically modulated electric field 43 . The electric field gives rise to a spatially modulated Rashba spin-orbit interaction, which, when assisted by e-e interactions and a uniform Dresselhaus spin-orbit interaction, opens a gap at two of the spin-orbit shifted Fermi points.…”

Section: Introductionmentioning

confidence: 99%

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Synthesizing Majorana zero-energy modes in a periodically gated quantum wire

2016

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We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor. The required crossing of the Fermi level by a single spin-split energy band is ensured by employing a periodically modulated Rashba interaction, which, assisted by electron-electron interactions and a uniform Dresselhaus interaction, opens a gap at two of the spin-orbit shifted Fermi points. While an implementation in a hybrid superconductorsemiconductor device requires improvements upon present-day capabilities, a variant of our scheme where spin-orbit-coupled cold fermions are effectively proximity-coupled to a BEC reservoir of Feshbach molecules may provide a ready-to-use platform.

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Section: B Bosonized Theorymentioning

confidence: 93%

“…In Ref. 43 we analyzed the bosonized theory defined by Eqs. ( 18)-( 20) in the absence of superconducting pairing, i.e.…”

Section: B Bosonized Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Synthesizing Majorana zero-energy modes in a periodically gated quantum wire

2016

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“…[31][32][33][34][35] for various semiconductor based approximate realizations), there is a priori no topological protection against elastic single particle back-scattering by TRS and the extent to which the correlation functions concur with Eqs. (1-2) has not been checked from first principles yet.…”

Section: A Hallmarks Of the Htllmentioning

confidence: 99%

Synthetic helical liquids with ultracold atoms in optical lattices

et al. 2015

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We discuss a platform for the synthetic realization of key physical properties of helical Tomonaga Luttinger liquids (HTLLs) with ultracold fermionic atoms in one-dimensional optical lattices. The HTLL is a strongly correlated metallic state where spin polarization and propagation direction of the itinerant particles are locked to each other. We propose an unconventional one-dimensional Fermi-Hubbard model which, at quarter filling, resembles the HTLL in the long wavelength limit, as we demonstrate with a combination of analytical (bosonization) and numerical (density matrix renormalization group) methods. An experimentally feasible scheme is provided for the realization of this model with ultracold fermionic atoms in optical lattices. Finally, we discuss how the robustness of the HTLL against back-scattering and imperfections, well known from its realization at the edge of two-dimensional topological insulators, is reflected in the synthetic one-dimensional scenario proposed here.

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“…al. [19] e para uma boa aproximação, a modulação pode ser representada por um harmônico simples (função senoidal).…”

Section: Interação Com Modulaçãounclassified

Propagação eletrônica em um fio quântico submetido a uma interação spin-órbita e a um potencial químico modulados

Dantas¹

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In this work we present results obtained on the transport properties of a wave packet in a quantum wire subjected to an external modulated electric field and taking into account the spin-orbit interaction of the Rashba and Dresselhaus types. In this system the Dresselhaus spin-orbit interaction produces the reversal of the spin of the injected electron. To analyze the time evolution of the system (particle) we evaluate the following parameters: the return probability of electron , the root mean square deviation (MSD) function participation and the center of the wave packet. It was observed that for certain parameter values the wave function is localized in a certain region which allows to make a correlation with a metal-insulator phase transition.

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Synthetic helical liquid in a quantum wire

Cited by 10 publications

References 49 publications

Synthesizing Majorana zero-energy modes in a periodically gated quantum wire

Synthesizing Majorana zero-energy modes in a periodically gated quantum wire

Synthetic helical liquids with ultracold atoms in optical lattices

Propagação eletrônica em um fio quântico submetido a uma interação spin-órbita e a um potencial químico modulados

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