Orbital magnetic susceptibility of graphene and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>MoS</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>

Gutiérrez-Rubio, Á.; Stauber, T.; Gómez‐Santos, G.; Asgari, Reza; Guinea, F.

doi:10.1103/physrevb.93.085133

Cited by 18 publications

(8 citation statements)

References 32 publications

(86 reference statements)

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“…5 is strikingly similar to gate dependence of the lattice contribution of the out-of-plane magnetic susceptibility of single layer graphene 42 and related systems. 43,44 This points to some sort of universality in the orbital response of layered materials which seems to be independent of the field direction and would deserve further investigation.…”

Section: B Equilibrium Response Parallel Magnetic Fieldmentioning

confidence: 91%

Linear response of twisted bilayer graphene: Continuum versus tight-binding models

2018

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We present a linear response calculation for twisted bilayer graphene. The calculation is performed for both the continuum and tight-binding models, with the aim of assessing the validity of the former. All qualitatively important features previously reported by us [T. Stauber et al. Phys. Rev. Lett. 120, 046801 (2018)] for the Drude matrix in the continuum model are also present in the tight-binding calculation, with increasing quantitative agreement for decreasing twist angle. These features include the chiral longitudinal magnetic moment associated with plasmonic modes, and the anomalous counterflow around the neutrality point, better interpreted as a paramagnetic response. We have addressed the differences between Drude and equilibrium response, and shown that orbital paramagnetism is the equilibrium response to a parallel magnetic field over a substantial doping region around the neutrality point. Chirality also makes the equilibrium response to exhibit a non trivial current structure associated with the non-vertical character of interlayer bonds in the tight-binding calculation.

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Section: B Equilibrium Response Parallel Magnetic Fieldmentioning

confidence: 91%

Linear response of twisted bilayer graphene: Continuum versus tight-binding models

2018

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“…Moreover, the orbital susceptibility was shown to satisfy a general sumrule over the full bandwidth: [26][27][28] χ orb (µ, T ) dµ = 0 .…”

Section: Introductionmentioning

confidence: 99%

Geometric orbital susceptibility: Quantum metric without Berry curvature

et al. 2016

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The orbital magnetic susceptibility of an electron gas in a periodic potential depends not only on the zero field energy spectrum but also on the geometric structure of cell-periodic Bloch states which encodes interband effects. In addition to the Berry curvature, we explicitly relate the orbital susceptibility of two-band models to a quantum metric tensor defining a distance in Hilbert space. Within a simple tight-binding model allowing for a tunable Bloch geometry, we show that interband effects are essential even in the absence of Berry curvature. We also show that for a flat band model, the quantum metric gives rise to a very strong orbital paramagnetism.

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“…These studies have focused on the orbital response of ordinary Schrödinger (massive, non-relativistic) fermions and bosons. It is however well known that systems behaving as ultra-relativistic Dirac-Weyl fermions harbor an intriguing orbital response [21][22][23][24][25][26][27][28][29], which is sensitive to many-body effects [25] even in the absence of impurities because of the intrinsic lack of Galilean invariance [30]. In the case of two-dimensional (2D) Dirac-Weyl fermions, which can be found e.g.…”

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confidence: 99%

Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps

et al. 2017

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We study the response to an applied flux of an interacting system of Dirac-Weyl fermions confined in a one-dimensional (1D) ring. Combining analytical calculations with density-matrix renormalization group results, we show that tuning of interactions leads to a unique many-body system that displays either a suppression or an enhancement of the Drude weight-the zero-frequency peak in the ac conductivity-with respect to the non-interacting value. An asymmetry in the interaction strength between same-and different-pseudospin Dirac-Weyl fermions leads to Drude weight enhancement. Viceversa, symmetric interactions lead to Drude weight suppression. Our predictions can be tested in mixtures of ultracold fermions in 1D ring traps.

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Orbital magnetic susceptibility of graphene andMoS2

Cited by 18 publications

References 32 publications

Linear response of twisted bilayer graphene: Continuum versus tight-binding models

Linear response of twisted bilayer graphene: Continuum versus tight-binding models

Geometric orbital susceptibility: Quantum metric without Berry curvature

Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps

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