Crossed Luttinger liquid hidden in a quasi-two-dimensional material

Du, X.; Kang, Lili; Lv, Yang‐Yang; Zhou, J. S.; Gu, Xing; Xu, R. Z.; Zhang, Q. Q.; Yin, Zhang-qi; Zhao, Wenxuan; Li, Y. D.; He, Shuai; Pei, Ding; Chen, Y. B.; Wang, M. X.; Liu, Z. K.; Chen, Y. L.; Yang, Lexian

doi:10.1038/s41567-022-01829-z

Cited by 16 publications

(3 citation statements)

References 57 publications

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“…In particular, the domain walls in moiré twisted bilayer graphene (TBG) separating different stacking configurations have been found to host low-energy gapless modes [30,32,[35][36][37][38][39][40][41][42][43][44][45][46][47][48], effectively forming a network of coupled quantum wires. 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 tunab...…”

Section: Introductionmentioning

confidence: 92%

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: Introductionmentioning

confidence: 92%

Electrically tunable correlated domain wall network in twisted bilayer graphene

Wang,

Hsu

2024

2D Mater.

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“…This has since been extended to a number of 1D systems such as semiconductor single-channel wires, nanowires, organic conductors, and fractional quantum Hall edge channels. 4,8,13,15,[19][20][21][22][23][24][25] Recently, this phenomenon has also been shown to exist within 1D defects in two-dimensional (2D) TMDs at a plane of lattice points where the crystal structures on either side of the interface are mirrored, which defines a mirror twin boundary (MTB) within monolayer TMDs. [14][15][16] MTBs have been predicted to exhibit metallic properties and to form out of sub-stoichiometric metal (M = Mo, W) or from depleted chalcogen (X = S, Se, Te) in MX 2 materials.…”

Section: Mainmentioning

confidence: 99%

WS2 Band Gap Renormalization Induced by Tomonaga Luttinger Liquid Formation in Mirror Twin Boundaries

Rossi¹,

Thomas

Küchle

et al. 2023

Preprint

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Tomonaga-Luttinger liquid (TLL) behavior in one-dimensional systems has been predicted and shown to occur at semiconductor-to-metal transitions within two-dimensional materials. Reports of mirror twin boundaries (MTBs) hosting a Fermi liquid or a TLL have suggested a dependence on the underlying substrate, however, unveiling the physical details of electronic contributions from the substrate require cross-correlative investigation. Here, we study TLL formation in MTBs within defectively engineered WS2 atop graphene, where band structure and the atomic environment is visualized with nano angleresolved photoelectron spectroscopy, scanning tunneling microscopy and scanning tunneling spectroscopy, and non-contact atomic force microscopy. Correlations between the local density of states and electronic band dispersion elucidated the electron transfer from graphene into a TLL hosted by MTB defects. We find that MTB defects can be substantially charged at a local level, which drives a band gap shift by ∼0.5 eV.

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Section: Mainmentioning

confidence: 99%

WS$_2$ Band Gap Renormalization Induced by Tomonaga Luttinger Liquid Formation in Mirror Twin Boundaries

Rossi¹,

Thomas²,

Küchle³

et al. 2023

Preprint

View full text Add to dashboard Cite

Tomonaga-Luttinger liquid (TLL) behavior in one-dimensional systems has been predicted and shown to occur at semiconductor-to-metal transitions within two-dimensional materials. Reports of mirror twin boundaries (MTBs) hosting a Fermi liquid or a TLL have suggested a dependence on the underlying substrate, however, unveiling the physical details of electronic contributions from the substrate require cross-correlative investigation. Here, we study TLL formation in MTBs within defectively engineered WS 2 atop graphene, where band structure and the atomic environment is visualized with nano angleresolved photoelectron spectroscopy, scanning tunneling microscopy and scanning tunneling spectroscopy, and non-contact atomic force microscopy. Correlations between the local density of states and electronic band dispersion elucidated the electron transfer from graphene into a TLL hosted by MTB defects. We find that MTB defects can be substantially charged at a local level, which drives a band gap shift by ∼0.5 eV.

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Crossed Luttinger liquid hidden in a quasi-two-dimensional material

Cited by 16 publications

References 57 publications

Electrically tunable correlated domain wall network in twisted bilayer graphene

Electrically tunable correlated domain wall network in twisted bilayer graphene

WS2 Band Gap Renormalization Induced by Tomonaga Luttinger Liquid Formation in Mirror Twin Boundaries

WS$_2$ Band Gap Renormalization Induced by Tomonaga Luttinger Liquid Formation in Mirror Twin Boundaries

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