Two-dimensional electrons occupying multiple valleys in AlAs

Abstract

Two-dimensional electrons in AlAs quantum wells occupy multiple conduction-band minima at the X- points of the Brillouin zone. These valleys have large effective mass and g-factor compared to the stan-dard GaAs electrons, and are also highly anisotropic. With proper choice of well width and by applying symmetry-breaking strain in the plane, one can control the occupation of different valleys thus rendering a system with tuneable effective mass, g-factor, Fermi contour anisotropy, and valley degeneracy. Here we review some of the rich physics that this system has allowed us to explore.

short review article, submitted for publication

References in corpus (29)

• Metallic behavior and related phenomena in two dimensions
• Correlation energy and spin polarization in the 2D electron gas
• Metal-insulator transition in two-dimensional electron systems
• Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
• Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\nu =9/2$ and $\nu =5/2$ Under Tilted Magnetic Field
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Valley splitting of AlAs two-dimensional electrons in a perpendicular magnetic field
• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Magnetoresistance of a two-dimensional electron gas in a parallel magnetic field
• Spin susceptibility of two-dimensional electrons in narrow AlAs quantum wells
• Resistance spikes and domain wall loops in Ising quantum Hall ferromagnets
• Low-temperature, in situ tunable, uniaxial stress measurements in semiconductors using a piezoelectric actuator
• Observation of Quantum Hall Valley Skyrmions
• The Two-flux Composite Fermion Series of Fractional Quantum Hall States in Strained Si
• Role of finite layer thickness in spin-polarization of GaAs 2D electrons in strong parallel magnetic fields
• Ising Quantum Hall Ferromagnet in Magnetically Doped Quantum Wells
• Effects of thickness on the spin susceptibility of the 2D electron gas
• Strong enhancement of the valley splitting in a 2D electron system in silicon
• The effect of a parallel magnetic field on the Boltzmann conductivity and the Hall coefficient of a disordered two dimensional Fermi liquid
• Dependence of spin susceptibility of a two-dimensional electron system on the valley degree of freedom
• Density dependent spin susceptibility and effective mass in interacting quasi-two dimensional electron systems
• Large Skyrmions in an Al(0.13)Ga(0.87)As Quantum Well
• Valley splitting of Si/SiGe heterostructures in tilted magnetic fields
• Giant low-temperature piezoresistance effect in AlAs two-dimensional electrons
• Realization of an Interacting Two-Valley AlAs Bilayer System
• Spin-dependent resistivity at transitions between integer quantum Hall states
• Aluminum arsenide cleaved-edge overgrown quantum wires

Cited by in corpus (79)

• Spin and valley quantum Hall ferromagnetism in graphene
• Field-induced polarisation of Dirac valleys in bismuth
• Ultra-high quality two-dimensional electron systems
• Universal Quantum Computing with Spin and Valley
• Valley polarization and susceptibility of composite fermions around nu=3/2
• Integer quantum Hall effect on a six valley hydrogen-passivated silicon (111) surface
• Observation of Spontaneous Ferromagnetism in a Two-Dimensional Electron System
• Tunable valley splitting and bipolar operation in graphene quantum dots
• Transference of Transport Anisotropy to Composite Fermions
• Emptying Dirac valleys in bismuth using high magnetic fields
• Effective mass suppression in dilute, spin-polarized two-dimensional electron systems
• Hybrid spin and valley quantum computing with singlet-triplet qubits
• Magnetoresistance and valley degree of freedom in bulk bismuth
• Density dependence of valley polarization energy for composite fermions
• Observation of spontaneous valley polarization of itinerant electrons
• Valley Degenerate 2D Electrons in the Lowest Landau Level
• Even-denominator Fractional Quantum Hall Effect at a Landau Level Crossing
• Ferromagnetic Fractional Quantum Hall States in a Valley-Degenerate Two-Dimensional Electron System
• Anisotropic, two-dimensional, disordered Wigner solid
• SU(3) Quantum Hall Ferromagnetism in SnTe
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Transference of Fermi Contour Anisotropy to Composite Fermions
• Composite fermion valley polarization energies: Evidence for particle-hole asymmetry
• Contrast between spin and valley degrees of freedom
• Spin Susceptibility of Interacting Two-dimensional Electrons with Anisotropic Effective Mass
• Interacting multi-channel topological boundary modes in a quantum Hall valley system
• Nuclear magnetic resonance and nuclear spin relaxation in AlAs quantum well probed by ESR
• Quantum Hall ferroelectrics and nematics in multivalley systems
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Effective mass suppression upon complete spin-polarization in an isotropic two-dimensional electron system
• Multivalley two-dimensional electron system in an AlAs quantum well with mobility exceeding $2\times 10^6$ cm${}^2$V${}^{-1}$s${}^{-1}$
• Numerical study of anisotropy in a composite Fermi liquid
• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
• Microscopic Model for Fractional Quantum Hall Nematics
• Progress in superconductor-semiconductor topological Josephson junctions
• Ferroelectric quantum Hall phase revealed by visualizing Landau level wavefunction interference
• Design rules for modulation-doped AlAs quantum wells
• Direct observation of $\Gamma -X$ energy spectrum transition in narrow AlAs quantum wells
• Zeeman field-induced two-dimensional Weyl semimetal phase in cadmium arsenide
• Effective mass suppression in a ferromagnetic two-dimensional electron liquid
• Observation of fractional quantum Hall effect in an InAs quantum well
• Spin-valley interplay in two-dimensional disordered electron liquid
• Surface segregation and the Al problem in GaAs quantum wells
• Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing
• Quantum Hall Valley Nematics
• Dependence of Effective Mass on Spin and Valley Degrees of Freedom
• Valley-Polarized quantum Hall phase in a strain-controlled Dirac system
• Interplay between Quantum Well Width and Interface Roughness for Electron Transport Mobility in GaAs Quantum Wells
• Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
• Composite fermions in bands with N-fold rotational symmetry
• Parallel Magnetic Field Tuning of Valley Splitting in AlAs Two-Dimensional Electrons
• Realization of a Valley Superlattice
• Temperature-dependent transport in a sixfold degenerate two-dimensional electron system on a H-Si(111) surface
• Density-controlled quantum Hall ferromagnetic transition in a two-dimensional hole system
• Single-valley high-mobility (110) AlAs quantum wells with anisotropic mass
• Valley Stoner Instability of the Composite Fermi Sea
• Donor binding energy and thermally activated persistent photoconductivity in high mobility (001) AlAs quantum wells
• Nematic metal in a multi-valley electron gas: Variational Monte Carlo analysis and application to AlAs
• Valley degeneracy in biaxially strained aluminum arsenide quantum wells
• Pseudo-spin order of Wigner crystals in multi-valley electron gases
• Valley-tunable, even-denominator fractional quantum Hall state in the lowest Landau level of an anisotropic system
• Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas
• Enhancement of valley susceptibility upon complete spin-polarization
• Tuning of Fermi Contour Anisotropy in GaAs (001) 2D Holes via Strain
• Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasing rate
• Fractional quantum Hall valley ferromagnetism in the extreme quantum limit
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Piezoplasmonics: strain-induced tunability of plasmon resonance in AlAs quantum wells
• Topology- and symmetry-protected domain wall conduction in quantum Hall nematics
• Anomalous giant piezoresistance in AlAs 2D electrons with anti-dot lattices
• Anomalous coupling between magnetic and nematic orders in quantum Hall systems
• Local Probes for Quantum Hall Ferroelectrics and Nematics
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Drift velocity of edge magnetoplasmons due to magnetic edge channels
• Developing fractional quantum Hall states at $\nu$ = $\frac{1}{7}$ and $\frac{2}{11}$ in the presence of significant Landau level mixing
• Temperature dependence of piezoresistance of composite Fermions with a valley degree of freedom
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Reduction of fully screened magnetoplasmons in a laterally confined anisotropic two-dimensional electron system to an isotropic one
• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures