Modulation induced transport signatures in correlated electron waveguides

Shavit, Gal; Oreg, Yuval

doi:10.21468/scipostphys.9.4.051

Cited by 4 publications

(5 citation statements)

References 31 publications

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“…Note also that the findings presented below remain qualitatively the same for other choices of scaling. Finally, in the case of SOC produced via modulations, it would be reasonable to consider a modulated interaction as in [47], where it has been shown that such assumption can produce fractional conductance plateaux, compatible with the experimental data presented in [22,23].…”

Section: B Electron-electron Interactionssupporting

confidence: 67%

Spin-orbit-assisted electron pairing in 1D waveguides

Damanet,

Mansfield,

Briggeman

et al. 2020

Preprint

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Understanding and controlling the transport properties of interacting fermions is a key forefront in quantum physics across a variety of experimental platforms. Motivated by recent experiments in 1D electron channels written on the LaAlO3/SrTiO3 interface, we analyse how the presence of different forms of spin-orbit coupling (SOC) can enhance electron pairing in 1D waveguides. We first show how the intrinsic Rashba SOC felt by electrons at interfaces such as LaAlO3/SrTiO3 can be reduced when they are confined in 1D. Then, we discuss how SOC can be engineered, and show using a mean-field Hartree-Fock-Bogoliubov model that SOC can generate and enhance spin-singlet and triplet electron pairing. Our results are consistent with two recent sets of experiments [Briggeman et al., arXiv:1912.07164; Sci. Adv. 6, eaba6337 (2020)] that are believed to engineer the forms of SOC investigated in this work, which suggests that metal-oxide heterostructures constitute attractive platforms to control the collective spin of electron bound states. However, our findings could also be applied to other experimental platforms involving spinful fermions with attractive interactions, such as cold atoms.

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Section: B Electron-electron Interactionssupporting

confidence: 67%

Spin-orbit-assisted electron pairing in 1D waveguides

Damanet,

Mansfield,

Briggeman

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…We also checked that the findings presented below remain qualitatively the same for other choices of scaling. Finally, in the case of SOC produced via modulations, it would be reasonable to consider a modulated interaction as in [48], where it has been shown that such assumption can produce fractional conductance plateaux, compatible with the experimental data presented in [22,23]. Note that our model for the interactions is not a BCS model for superconductivity [49,50], but instead a model to describe electron pairing without superconductivity.…”

Section: B Electron-electron Interactionssupporting

confidence: 57%

Spin-orbit-assisted electron pairing in one-dimensional waveguides

et al. 2021

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Understanding and controlling the transport properties of interacting fermions is a key forefront in quantum physics across a variety of experimental platforms. Motivated by recent experiments in one-dimensional (1D) electron channels written on the LaAlO 3 /SrTiO 3 interface, we analyze how the presence of different forms of spin-orbit coupling (SOC) can enhance electron pairing in 1D waveguides. We first show how the intrinsic Rashba SOC felt by electrons at interfaces such as LaAlO 3 /SrTiO 3 can be reduced when they are confined in one dimension. Then, we discuss how SOC can be engineered, and show using a mean-field Hartree-Fock-Bogoliubov model that SOC can generate and enhance spin-singlet and -triplet electron pairing. Our results are consistent with two recent sets of experiments [Briggeman et al., Nat. Phys. 17, 782787 (2021); Sci. Adv. 6, eaba6337 (2020)] that are believed to engineer the forms of SOC investigated in this work, which suggests that metal-oxide heterostructures constitute attractive platforms to control the collective spin of electron bound states. However, our findings could also be applied to other experimental platforms involving spinful fermions with attractive interactions, such as cold atoms.

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“…2a, which suggests that it is the basis of the behavior observed in the experiments. This single-particle Kronig-Penney model cannot predict the full fractional conductance plateaus, which are understood to require the presence of strong electron-electron interactions [29,30,31].…”

Section: Shavit Et Al Have Considered a Theoretical Frameworkmentioning

confidence: 99%

“…[29,30] in which fractional conductances arise in multichannel 1D quantum wires due to high order back-scattering processes. Such fractional conductances were shown to require strong repulsive electron-electron interactions to be observed, but a recent theory suggests that this could also be the case for strong attractive modulated interactions [31]. For the simplest high-order scattering process involving three particles, this theory predicts a plateau at 1.8e 2 /h which can become gap-protected for strong modulated interactions.…”

mentioning

confidence: 99%

One-dimensional Kronig–Penney superlattices at the LaAlO3/SrTiO3 interface

Briggeman

Lee

et al. 2021

Nat. Phys.

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Semiconductor heterostructures [1] and ultracold neutral atomic lattices [2] capture many of the essential properties of onedimensional (1D) electronic systems. However, fully 1D superlattices are highly challenging to fabricate in the solid state due to the inherently small length scales involved. Conductive atomic-force microscope (c-AFM) lithography applied to an oxide interface can create ballistic few-mode electron waveguides with highly quantized conductance and strongly attractive electron-electron interactions [3]. Here we show that artificial Kronig-Penney-like superlattice potentials can be imposed on such waveguides, introducing a new superlattice spacing that can be made comparable to the mean separation between electrons. The imposed superlattice potential fractures the electronic subbands into a manifold of new subbands with magnetically-tunable fractional conductance. The lowest plateau, associated with ballistic transport of spin-singlet electron pairs [3], shows enhanced electron pairing, in some cases up to the highest magnetic fields explored. A 1D model of the system suggests that an engineered spin-orbit interaction in the superlattice contributes to the enhanced pairing observed in the devices. These findings are an advance in the ability to design new families of quantum materials with emergent properties and the development of solid-state 1D quantum simulation platforms.Quantum theory provides a unified framework for understanding the fundamental properties of matter.However, there are many quantum systems whose behavior is not well understood because the relevant equations are are not able to be solved using known approaches. The idea of "quantum simulation", first articulated by Feynman [4], aims to exploit the quantum-mechanical properties of materials to compute the properties of interest and gain insight into the quantum nature of matter. There are two main "flavors" of quantum simulation: one based upon the known efficiency of circuit-based quantum computers to solve the Schrödinger equation, and the other based on microscopic control over quantum systems to emulate a given Hamiltonian. The former approach is limited by the capabilities of present-day quantum computers. The latter approach has shown great promise using a variety of methods including ultracold atoms [2, 5, 6], spin systems from ion trap arrays [7]. superconducting Josephson junction arrays [8], photonic systems [9], and various solid-state approaches [1,10,11,12]. Platforms capable of quantum simulation of Hubbard models would be of enormous value in condensed matter physics and beyond.Complex oxides offer new opportunities to create a platform for quantum simulation in a solid-state

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Modulation induced transport signatures in correlated electron waveguides

Cited by 4 publications

References 31 publications

Spin-orbit-assisted electron pairing in 1D waveguides

Spin-orbit-assisted electron pairing in 1D waveguides

Spin-orbit-assisted electron pairing in one-dimensional waveguides

One-dimensional Kronig–Penney superlattices at the LaAlO3/SrTiO3 interface

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