Bloch oscillations in the magnetoconductance of twisted bilayer graphene

Vakhtel, Tereza; Oriekhov, D. O.; Beenakker, C. W. J.

doi:10.1103/physrevb.105.l241408

Cited by 8 publications

(1 citation statement)

References 35 publications

(48 reference statements)

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“…While a comprehensive analysis of the transport properties of the entire TBG device requires further exploration at the mesoscopic level, similar to previous studies in the single-particle picture [158][159][160], we can examine the exponents characterizing three distinct microscopic processes relevant to transport. To this end, we demonstrate how α…”

Section: Charge Transport Features At Microscopic Scalesmentioning

confidence: 88%

Electrically tunable correlated domain wall network in twisted bilayer graphene

Wang,

Hsu

2024

2D Mater.

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We investigate the domain wall network in twisted bilayer graphene (TBG) under the influence of interlayer bias and screening effect from the layered structure. Starting from the continuum model, we analyze the low-energy domain wall modes within the moiré bilayer structure and obtain an analytic form representing charge density distributions of the two-dimensional structure. By computing the screened electron-electron interaction strengths both within and between the domain walls, we develop a bosonized model that describes the correlated domain wall network. We demonstrate that these interaction strengths can be modified through an applied interlayer bias, screening length and dielectric materials, and show how the model can be employed to investigate various properties of the domain wall network and its stability. We compute correlation functions both without and with phonons. Including electron-phonon coupling in the network, we establish phase diagrams from these correlation functions. These diagrams illustrate electrical tunability of the network between various phases, such as density wave states and superconductivity. Our findings reveal the domain wall network as a promising platform for the experimental manipulation of electron-electron interactions in low dimensions and the study of strongly correlated matter. We point out that our investigation not only enhances the understanding of domain wall modes in TBG but also has broader implications for the development of moiré devices.

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Section: Charge Transport Features At Microscopic Scalesmentioning

confidence: 88%

Electrically tunable correlated domain wall network in twisted bilayer graphene

Wang,

Hsu

2024

2D Mater.

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Breathing mode in open-orbit magnetotransport: A magnetic lens with a quantum mechanical focal length

Oriekhov

Vakhtel

et al. 2022

Phys. Rev. B

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We consider the propagation of electrons in a lattice with an anisotropic dispersion in the x-y plane (lattice constant a), such that it supports open orbits along the x axis in an out-of-plane magnetic field B. We show that a point source excites a "breathing mode," a state that periodically spreads out and refocuses after having propagated over a distance = (eaB/h) −1 in the x direction. Unlike known magnetic focusing effects, governed by the classical cyclotron radius, this is an intrinsically quantum mechanical effect with a focal length ∝ h.

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