Interaction-enhanced topological Hall effects in strained twisted bilayer graphene

Pantaleón, Pierre A.; Phong, Võ Tiến; Naumis, Gerardo G.; Guinea, F.

doi:10.1103/physrevb.106.l161101

Cited by 18 publications

(13 citation statements)

References 64 publications

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“…Other studies relying on low-energy approximations dwell on the optical and electronic properties of graphene [51,52], on curvature-induced quantum spin-Hall effects in Möbius strips [53], on the topological Hall effect in strained twisted graphene bilayers with enhanced interactions [54], and on the valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials [55]. In addition, the optical properties of massive anisotropic tilted Dirac materials [56], valley polarisers and filters [57], the creation of complex magnetic fields [58] or of Landau levels in curved spaces [59], the propagation of pseudo-electromagnetic waves [60], and comparisons between twistronics and straintronics in twisted bilayers of graphene and TMDCs [61] have also appeared in the literature.…”

Section: Low-energy Effective Models: Dirac Equation Withmentioning

confidence: 99%

“…Also, the long-range Coulomb electron-electron interaction affects the distribution of Berry curvature of the bands near charge neutrality of a TBG closely aligned with hBN. Due to the suppressed dispersion of the narrow bands, the band structure is strongly renormalised [54]. Therefore, the topological linear and nonlinear Hall conductivities in TBG/hBN are substantially modified by electron-electron interactions [54].…”

Section: Different Ways To Create Moirésmentioning

confidence: 99%

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Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Naumis,

Herrera,

Poudel

et al. 2023

Rep. Prog. Phys.

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This is an update of a previous review on the subject \cite{Naumis_2017}. Experimental and theoretical advances for straining graphene and other metallic, insulating, ferroelectric, ferroelastic, ferromagnetic and multiferroic 2D materials have been considered. Specific topics of discussion include: (i) methods to induce valley and sublattice polarisation ($\mathbf{P}$) in graphene, (ii) time-dependent strain and its impact on graphene's electronic properties, (iii) the role of local and global strain on superconductivity and other highly correlated and/or topological phases of graphene, inducing polarisation $\mathbf{P}$ on hexagonal boron nitride monolayers {\it via} strain, (iv) measuring strain, and modifying through strain the optoelectronic properties of transition metal dichalcogenides, (v) ferroic 2D materials with intrinsic elastic ($\sigma$), electric ($\mathbf{P}$) and magnetic ($\mathbf{M}$) polarisation under strain, as well as incipient 2D multiferroics and (vi) moir'e bilayers exhibiting flat electronic bands and exotic quantum phase diagrams, and other bilayer or few-layer systems exhibiting ferroic orders tunable by rotations and shear strain. The review features the extremely recent experimental realizations of a tunable two-dimensional Quantum Spin Hall effect in germanene, of monoelemental 2D ferroelectric bismuth, and 2D multiferroic NiI$_2$. The document was structured for a discussion of effects taking place in monolayers first, followed by discussions concerning bilayers and few-layers, and it represents a fresh and up-to-date overview of exciting and newest developments on the fast-paced field of 2D materials.

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Section: Low-energy Effective Models: Dirac Equation Withmentioning

confidence: 99%

Section: Different Ways To Create Moirésmentioning

confidence: 99%

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Naumis,

Herrera,

Poudel

et al. 2023

Rep. Prog. Phys.

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“…In addition to TBG, other stacked moiré systems such as twisted double bilayer graphene (TDBG) [6][7][8][9][10][11][12][13][14][15], twisted trilayer graphene [16][17][18][19], and marginally twisted transition metal dichalcogenides [20][21][22] also show fascinating strong correlation effects. Moiré systems also offer a promising platform for exploring the valley and topological physics [23][24][25][26][27]. In addition to large Berry curvature hotspots, valley-Chern number based topological phase transitions [28] have also been demonstrated in moiré systems such as TBG [23], TDBG [10, 15, 24-26, 29, 30], multi-layered twisted systems [31,32], and twisted transition metal dichalcogenides [33,34].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene

Chakraborty¹,

Das²,

Sinha³

et al. 2022

2D Mater.

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Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference induced by a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time-reversal symmetric systems. These band-geometry induced responses in recently realized twistronic platforms can probe their novel electronic band structure and topology. Here, we investigate the family (electrical, thermoelectric, and thermal) of second-order nonlinear anomalous Hall effects in the moiré system of twisted double bilayer graphene. We combine the semiclassical transport framework with the continuum model of twisted double bilayer graphene to demonstrate that the nonlinear anomalous Hall signals can probe topological phase transitions in moiré systems. We show that the whole family of nonlinear anomalous Hall responses undergo a sign reversal across a topological phase transition. Our study establishes a deeper connection between valley topology and nonlinear Hall effects in time-reversal symmetric systems.

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“…Moire materials are found to host large and electrically tunable Berry curvature and Berry curvature dipoles (e.g. in twisted bilayer graphene) [40,41], making them potential candidates to realize prominent nonlinear photoresponses. On the other hand, strong electron-electron interactions can lead to spontaneous symmetry breaking, for example, time-reversal symmetry breaking in the ferromagnetic anomalous Hall phase in twisted bilayer graphene [176,177].…”

Section: Discussionmentioning

confidence: 99%

“…It has been predicted and experimentally observed in quantum materials with broken P symmetry, such as monolayer WTe 2 , strained graphene, bilayer graphene and TMDs [37,38,39]. Recently, large BCD has also been found in Moire systems with flat bands, in which BCD induced nonlinear Hall currents can serve as a signal for topological phase transitions due to electron-electron interaction induced band inversion [40,41]. Apart from the BCD contribution, quantum geometry also plays a significant role in other intrinsic (e.g.…”

Section: Quantum Geometric Photocurrentsmentioning

confidence: 96%

Quantum geometry and nanophotonic enriched nonlinear photoresponse in van der Waals materials

Xiong¹

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Interaction-enhanced topological Hall effects in strained twisted bilayer graphene

Cited by 18 publications

References 64 publications

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Mechanical, electronic, optical, piezoelectric and ferroic properties of strained graphene and other strained monolayers and multilayers: an update

Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene

Quantum geometry and nanophotonic enriched nonlinear photoresponse in van der Waals materials

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