Charge density wave and finite-temperature transport in minimally twisted bilayer graphene

Chou, Yang-Zhi; Wu, Fengcheng; Sau, Jay D.

doi:10.1103/physrevb.104.045146

Cited by 9 publications

(9 citation statements)

References 68 publications

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“…With the interaction strengths within the network determined, we are set to establish an interacting model for the domain wall modes. This model distinctively considers two branches of gapless modes for each direction of motion and therefore differs from the previous bosonization models for moiré networks [21,67,68,72], which neglected these additional degrees of freedom. With our description, each domain wall is reminiscent of the bosonization model for metallic carbon nanotubes [146][147][148], where the doubling in degrees of freedom is due to the two Dirac cones in the spectrum.…”

Section: Correlated Domain Wall Networkmentioning

confidence: 99%

“…The phenomenon is reminiscent of domain walls in Bernal-stacked bilayer graphene with opposite stacking arrangement or transverse displacement fields [49][50][51][52][53][54][55] and also extends beyond TBG, as similar one-dimensional channels have been identified or postulated in various nanoscale systems [56][57][58][59][60], such as chiral twisted trilayer graphene [61,62], twisted WTe 2 [63,64], and strain-engineered devices [65]. The discovery of one-dimensional channels across these systems has motivated theoretical exploration into effective network models [21,[66][67][68][69][70][71][72][73][74], and underscore the broader applicability and significance of the coupled-wire models in tunable nanoscale systems.…”

Section: Introductionmentioning

confidence: 99%

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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: Correlated Domain Wall Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electrically tunable correlated domain wall network in twisted bilayer graphene

Wang,

Hsu

2024

2D Mater.

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“…We stress, once again, that both ways are equivalent and reflect the gauge transformation in Eq. (7). However, as we are working in the fixed gauge of Eq.…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…Junctions of multiple one-dimensional (1D) electronic systems, such as quantum wires and spin chains, are of great relevance to technological applications because they constitute basic elements in the architecture of quantum devices [1,2]. Networks of 1D conducting channels also provide versatile platforms to simulate exotic phases of matter [3][4][5][6][7]. On the theoretical side, junctions of 1D systems offer an amenable, yet nontrivial, playground to explore fascinating phenomena associated with strong correlations.…”

Section: Introductionmentioning

confidence: 99%

Chiral fixed point in a junction of critical spin-1 chains

Xavier,

Pereira

2022

Preprint

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Junctions of one-dimensional systems are of great interest to the development of synthetic materials that harbor topological phases. We study a junction of three gapless spin-1 chains described by the SU(2) 2 Wess-Zumino-Wittten model and coupled by exchange and chiral three-spin interactions. We show that a chiral fixed point appears as a special point on the transition line separating two regimes described by open boundary conditions, corresponding to decoupled chains and the formation of a boundary spin singlet state. Along this transition line, the junction behaves as a tunable spin circulator as the spin conductance varies continuously with the coupling constant of a marginal boundary operator. Since the spectrum of the junction contains fractional excitations such as Majorana fermions, our work sets the stage for network constructions of non-Abelian chiral spin liquids.

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“…The emergence of a network of 1D chiral channels in moiré systems has been previously discussed [ [36][37][38][39][40][41][42][43][44][45][46]. In an early study, San-Jose and Prada [36] pointed out that a network of topologically protected 1D helical channels forms in TBG subject to an out-of-plane electric field, see also [37,45].…”

Section: Introductionmentioning

confidence: 99%

Network of chiral one-dimensional channels and localized states emerging in a moiré system

et al. 2023

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Moiré systems provide a highly tunable platform for engineering band structures and exotic correlated phases. Here, we theoretically study a model for a single layer of graphene subject to a smooth moiré electrostatic potential, induced by an insulating substrate layer. For sufficiently large moiré unit cells, we find that ultra-flat bands coexist with a triangular network of chiral one-dimensional (1D) channels. These channels mediate an effective interaction between localized modes with spin-, orbital- and valley degrees of freedom emerging from the flat bands. The form of the interaction reflects the chiralilty and 1D nature of the network. We study this interacting model within an SU(4) mean-field theory, semi-classical Monte-Carlo simulations, and an SU(4) spin-wave theory, focusing on commensurate order stabilized by local two-site and chiral three-site interactions. By tuning a gate voltage, one can trigger a non-coplanar phase characterized by a peculiar coexistence of three different types of order: ferromagnetic spin order in one valley, non-coplanar chiral spin order in the other valley, and 120° order in the remaining spin and valley-mixed degrees of freedom. Quantum and classical fluctuations have qualitatively different effects on the observed phases and can, for example, create a finite spin-chiralitypurely via fluctuation effects.

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Charge density wave and finite-temperature transport in minimally twisted bilayer graphene

Cited by 9 publications

References 68 publications

Electrically tunable correlated domain wall network in twisted bilayer graphene

Electrically tunable correlated domain wall network in twisted bilayer graphene

Chiral fixed point in a junction of critical spin-1 chains

Network of chiral one-dimensional channels and localized states emerging in a moiré system

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