Interaction-induced magnetoresistance in a two-dimensional electron gas

Abstract

We study the interaction-induced quantum correction δσ_{αβ} to the conductivity tensor of electrons in two dimensions for arbitrary Tτ(where T is the temperature and τthe 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 (Tτ<< 1) to the ballistic (Tτ> 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.

35 pages, 14 figures

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Cited by in corpus (59)

• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Nonequilibrium phenomena in high Landau levels
• Magnetoresistance in a High Mobility Two-Dimensional Electron Gas
• Manifestation of electron-electron interaction in the magnetoresistance of graphene
• Coulomb interaction in graphene: Relaxation rates and transport
• Giant negative magnetoresistance in high-mobility 2D electron systems
• Temperature Dependence of Microwave Photoresistance in 2D Electron Systems
• Colossal negative magnetoresistance in a 2D electron gas
• Interaction corrections to the thermal transport coefficients in disordered metals: quantum kinetic equation approach
• Optical response of correlated electron systems
• Oscillatory ac- and photoconductivity of a 2D electron gas: Quasiclassical transport beyond the Boltzmann equation
• Interaction effects on magnetooscillations in a two-dimensional electron gas
• Magnetoresistance Induced by Rare Strong Scatterers in a High Mobility 2DEG
• Magnetoresistance and dephasing in a two-dimensional electron gas at intermediate conductances
• Two-dimensional metal-insulator transition and in-plane magnetoresistance in a high mobility strained Si quantum well
• Quantum Coherence at Low Temperatures in Mesoscopic Systems: Effect of Disorder
• Interaction Effects in Conductivity of a Two-Valley Electron System in High-Mobility Si Inversion Layers
• Diffusion and ballistic contributions of the interaction correction to the conductivity of a two-dimensional electron gas
• Electron-electron interaction correction and magnetoresistance in tilted fields in Si-based 2D systems
• Boundary-mediated electron-electron interactions in quantum point contacts
• Plasmon attenuation and optical conductivity of a two-dimensional electron gas
• Quantum corrections to the conductivity and Hall coefficient of a two-dimensional electron gas in a dirty AlGaAs/GaAs/AlGaAs quantum well: from the diffusive to the ballistic regime
• Quantum corrections to the conductivity and Hall coefficient of a 2D electron gas in a dirty AlGaAs/GaAs/AlGaAs quantum well: transition from diffusive to ballistic regime
• Weak antilocalization in HgTe quantum well with inverted energy spectrum
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Optical conductivity of a two-dimensional metal near a quantum-critical point: the status of the "extended Drude formula"
• Temperature and Magnetic Field Enhanced Hall Slope of a Dilute 2D Hole System in the Ballistic Regime
• Origin of positive magnetoresistance in small-amplitude unidirectional lateral superlattices
• Crossover from weak localization to Shubnikov-de Haas oscillations in a high mobility 2D electron gas
• Electron-electron scattering and magnetoresistance of ballistic microcontacts
• Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
• Magnetoresistance of disordered graphene: from low to high temperatures
• Signatures of localization in the effective metallic regime of high mobility Si MOSFETs
• Tuning of quantum interference in top-gated graphene on SiC
• Smearing of the 2D Kohn anomaly in a nonquantizing magnetic field: Implications for the interaction effects
• Hole-hole interaction in a strained In${}_x$Ga${}_{1-x}$As two dimensional system
• Low magnetic field anomaly of the Hall effect in disordered 2D systems: Interplay between weak localization and electron-electron interaction
• The role of electron-electron collisions for charge and heat transport at intermediate temperatures
• Renormalization of hole-hole interaction at decreasing Drude conductivity
• Magneto-oscillations due to electron-electron interactions in the ac conductivity of a 2D electron gas
• Effect of gauge-field interaction on fermion transport in 2D: Hartree conductivity correction and dephasing
• Measurements of the magnetic properties of conduction electrons
• Sharp Magnetic Field Dependence of the 2D Hall Coefficient Induced by Classical Memory Effects
• Scale-dependent theory of the disordered electron liquid
• Interference induced metallic-like behavior of a two-dimensional hole gas in asymmetric GaAs/In${}_x$Ga${}_{1-x}$As/GaAs quantum well
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Dephasing and interwell transitions in double quantum well heterostructures
• Semiclassical theory of the interaction correction to the conductance of antidot arrays
• Transport anisotropy in Ge quantum wells in the absence of quantum oscillations
• Interaction correction to the conductivity of two-dimensional electron gas in In${}_x$Ga${}_{1-x}$As/InP quantum well structure with strong spin-orbit coupling
• Nonlocality, Correlations, and Magnetotransport in a Spatially Modulated Two-Dimensional Electron Gas
• Interaction correction to the conductance of a ballistic conductor
• Anisotropic positive magnetoresistance of a nonplanar 2D electron gas in a parallel magnetic field
• Weak localization at arbitrary disorder strength in systems with generic spin-dependent fields
• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals
• Critical behavior of density of states near Fermi energy in low-dimensional disordered metals
• Nonmonotonic Temperature Dependence of the Hall Resistance for 2D Electron System in Si
• Effect of exchange electron-electron interaction on conductivity of InGaAs single and double quantum wells in ballistic regime
• Dipole trap model for the metallic state in gated silicon-inversion layers