Theory of magnetotransport in two-dimensional electron systems with unidirectional periodic modulation

Zhang, Chaofeng; Gerhardts, Rolf R.

doi:10.1103/physrevb.41.12850

Cited by 145 publications

(158 citation statements)

References 17 publications

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“…Such corrections appear in the quantum-mechanical treatment of the problem 56,57 and are related to the de Haas-van Alphen oscillations of the density of states induced by the Landau quantization of spectrum. As a consequence, these oscillations are exponentially damped by disorder, with the damping factor…”

Section: Modulated Systemsmentioning

confidence: 99%

Interaction-induced magnetoresistance in a two-dimensional electron gas

2004

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We study the interaction-induced quantum correction δσ αβ to the conductivity tensor of electrons in two dimensions for arbitrary T τ (where T is the temperature and τ the transport scattering time), magnetic field, and type of disorder. A general theory is developed, allowing us to express δσ αβ in terms of classical propagators ("ballistic diffusons"). The formalism is used to calculate the interaction contribution to the longitudinal and the Hall resistivities in a transverse magnetic field in the whole range of temperature from the diffusive (T τ ≪ 1) to the ballistic (T τ 1) regime, both in smooth disorder and in the presence of short-range scatterers. Further, we apply the formalism to anisotropic systems and demonstrate that the interaction induces novel quantum oscillations in the resistivity of lateral superlattices.

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Section: Modulated Systemsmentioning

confidence: 99%

Interaction-induced magnetoresistance in a two-dimensional electron gas

2004

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“…(3) by using Eq. (16). It is an established fact 43,44 that the impurity induced LLs broadening in 2D Dirac material is directly proportional to √ B.…”

Section: Fermi Energy and Density Of Statesmentioning

confidence: 99%

“…This oscillation is known as Weiss oscillation which was first observed in magneto-resistance measurements in the electrically modulated usual two dimensional electron gas (2DEG) [12][13][14] . The Weiss oscillation is also known as Commensurability oscillation as it is caused by the commensurability of the two length scales i.e., cyclotron orbit's radius near the Fermi energy and the modulation period [15][16][17] . An alternative explanation was also given by Beenakker 18 by using the concept of guiding-centerdrift resonance between the periodic cyclotron orbit motion and the oscillating drift of the orbit center induced by the potential grating.…”

Section: Introductionmentioning

confidence: 99%

Signature of tilted Dirac cones in Weiss oscillations of8−Pmmnborophene

Islam

Jayannavar

2017

Phys. Rev. B

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Polymorph of 8 − P mmn borophene exhibits anisotropic tilted Dirac cones. In this work, we explore the consequences of the tilted Dirac cones in magnetotransport properties of a periodically modulated borophene. We evaluate modulation induced diffusive conductivity by using linear response theory in low temperature regime. The application of weak modulation (electric/magnetic or both) gives rise to the magnetic field dependent non-zero oscillatory drift velocity which causes Weiss oscillation in the longitudinal conductivity at low magnetic field. The Weiss oscillation is studied in presence of an weak spatial electric, magnetic and both modulations individually. The tilting of the Dirac cones gives rise to additional contribution to the Weiss oscillation in longitudinal conductivity. Moreover, it also enhances the frequency of the Weiss oscillation and modifies its amplitude too. Most remarkably, It is found that the presence of out-of phase both i.e., electric and magnetic modulations can cause a sizable valley polarization in diffusive conductivity. The origin of valley polarization lies in the opposite tilting of the two Dirac cones at two valleys.

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“…The resolution of modulation induced effects requires that the collision broadening is smaller than the modulation broadening. The effect of randomly distributed scattcrers on the collision broadening again can be quantitatively described by a lincwidth T within the SCBA formalism [13,15]. The magnctocapacitancc, measured between a top gate and the 2DEG, is directly related to the thermodynamic density of states [16] and has been used as experimental tool to verify the energy spectrum given by Eq.…”

Section: Weak Id-modulationmentioning

confidence: 99%

“…This energy spectrum causes all the oscillatory phenomena in the magnetotransport coefficients. Only a sketch of the transport theory by Zhang and Gcrhardts [15], based on Kubo's formulas, can be presented here. Within this approach the conductivity of a periodically modulated 2DEG depends on the square of the density of states at the Fermi energy in just the same analytic manner as for the homogeneous 2DEG [3]:…”

Section: Weak Id-modulationmentioning

confidence: 99%

Lateral superlattices: Magnetoresistance, hall effect and commensurate orbits

Weiss

Festkörperprobleme 31

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Summary: The electron motion in a two-dimensional periodic potential and a perpendicular magnetic field, leads to interesting commensurability phenomena. Using nowadays micropatterning techniques, both weak (V Q <E F ) periodic potentials can be superimposed upon a two-dimensional electron gas. In the weak-modulation limit magnetoresistance oscillations periodic in 1/2? reflect the commensurability between cyclotron orbit diameter 2R C and the supcrlattice period. A strong modulation acts predominantly as an array of periodic scattcrers. The repulsive scattering potentials seem to trap electrons on commensurate orbits: the reduced carrier density manifests itself in peaks in the magnetoresistance, aperiodic in \/B t and non-quantized plateaus in the Hall resistance.

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Theory of magnetotransport in two-dimensional electron systems with unidirectional periodic modulation

Cited by 145 publications

References 17 publications

Interaction-induced magnetoresistance in a two-dimensional electron gas

Interaction-induced magnetoresistance in a two-dimensional electron gas

Signature of tilted Dirac cones in Weiss oscillations of8−Pmmnborophene

Lateral superlattices: Magnetoresistance, hall effect and commensurate orbits

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