Liquid Crystal Phases of Quantum Hall Systems

Abstract

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\ge 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the same reason that frustrated phase separation leads to stripe ordered states in doped Mott insulators. We have studied the effects of quantum and thermal fluctuations about such a state and show that they can lead to a set of electronic liquid crystalline states, particularly a stripe-nematic phase which is stable at $T>0$. Recent measurements of the longitudinal resistivity of a set of quantum Hall devices have revealed that these systems spontaneously develop, at low temepratures, a very large anisotropy. We interpret these experiments as evidence for a stripe nematic phase, and propose a general phase diagram for this system.

9 pages, 3 figures

References in corpus (1)

• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels

Cited by in corpus (255)

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• Quantum Theory of a Nematic Fermi Fluid
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• Long-range interacting quantum systems
• The Fractional Quantum Hall effect in an array of quantum wires
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• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
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• Tunable van Hove Singularities and Correlated States in Twisted Trilayer Graphene
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Charge Density Wave Ordering in Half Filled High Landau Levels
• Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
• Quantum Theory of Quantum-Hall Smectics
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• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Formation of Electronic Nematic Phase in Interacting Systems
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• Itinerant metamagnetism induced by electronic nematic order
• Field theory of the quantum Hall nematic transition
• Direct observation of a magnetic field-induced Wigner crystal
• Signatures of Electronic Nematic Phase at Isotropic-Nematic Phase Transition
• Field-tilt Anisotropy Energy in Quantum Hall Stripe States
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• Dynamical Ordering of Driven Stripe Phases in Quenched Disorder
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
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• The Onset of Anisotropic Transport of Two-Dimensional Electrons in High Landau Levels: An Isotropic-to-Nematic Liquid Crystal Phase Transition?
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
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• Hysteresis and Noise from Electronic Nematicity in High Temperature Superconductors
• Structural Transitions, Melting, and Intermediate Phases for Stripe and Clump Forming Systems
• Theory of Nematic Fractional Quantum Hall State
• Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
• Disclination Unbinding Transition in Quantum Hall Liquid Crystals
• Unconventional metamagnetic electron states in orbital band systems
• Structures for Interacting Composite Fermions: Stripes, Bubbles, and Fractional Quantum Hall Effect
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• Theory of Quantum Hall Nematics
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• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Investigating anisotropic quantum Hall states with bi-metric geometry
• Fractional quantum Hall effect in a tilted magnetic field
• An Investigation of Orientational Symmetry-Breaking Mechanisms in High Landau Levels
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• Fibrillar templates and soft phases in systems with short-range dipolar and long-range interactions
• Topological kinematic constraints: quantum dislocations and the glide principle
• Density Induced Interchange of Anisotropy Axes at Half-Filled High Landau Levels
• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
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• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field
• Collective Modes of Quantum Hall Stripes
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• Non-commutative Chern-Simons for the Quantum Hall System and Duality
• Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
• Competition Between Fractional Quantum Hall Liquid, Bubble and Wigner Crystal Phases in the Third Landau Level
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• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$
• Stability of the Smectic Quantum Hall State: A Quantitative Study
• Symmetry-breaking Fermi surface deformations from central interactions in two dimensions
• Reorientation of Anisotropy in a Square Well Quantum Hall Sample
• Conductivity tensor of striped quantum Hall phases
• Dynamics and Melting of Stripes, Crystals, and Bubbles with Quenched Disorder
• Impact of spin-orbit coupling on quantum Hall nematic phases
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Stripes in Quantum Hall Double Layer Systems
• Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
• Highly Anisotropic Transport in the Integer Quantum Hall Effect
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Quantum liquid-crystal order in resonant atomic gases
• Pomeranchuk Instability of Composite Fermi Liquids
• New Physics in High Landau Levels
• Pairing Instability in a Nematic Fermi Liquid
• De-Pinning Transition of Bubble Phases in a High Landau Level
• Striped States in Quantum Hall Effect: Deriving a Low Energy Theory from Hartree-Fock
• Pinning mode resonances of 2D electron stripe phases: Effect of in-plane magnetic field
• Field Theory of Nematicity in the Spontaneous Quantum Anomalous Hall effect
• Heterostructure Symmetry and the Orientation of the Quantum Hall Nematic Phases
• Spontaneous Symmetry Breaking and Exotic Quantum Order in Integer Quantum Hall Systems under a Tilted Magnetic Field
• Quantum Hall Smectics, Sliding Symmetry and the Renormalization Group
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
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• The excitonic collapse of higher Landau level fractional quantum Hall effect
• Anisotropic Sliding Dynamics, Peak Effect, and Metastability in Stripe Systems
• Classification of point-group-symmetric orientational ordering tensors
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Lifshitz gauge duality
• Competing charge density waves probed by non-linear transport and noise in the second and third Landau levels
• Spontaneous Fermi surface symmetry breaking in bilayered systems
• Reorientation of quantum Hall stripes within a partially filled Landau level
• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
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• Hydrodynamics of the quantum Hall smectics
• Microscopic Model for Fractional Quantum Hall Nematics
• Liquid crystalline states for two-dimensional electrons in strong magnetic fields
• Effect of disorder on a Pomeranchuk instability
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• Evidence for a new symmetry breaking mechanism reorienting quantum Hall nematics
• Theory of the Quantum Hall Smectic Phase II: Microscopic Theory
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• Viscoelastic response of quantum Hall fluids in a tilted field
• The QCD moat regime and its real-time properties
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• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
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• Collective Sliding States for Colloidal Molecular Crystals
• Periodic striped ground states in Ising models with competing interactions
• Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals
• Nematic phases and the breaking of double symmetries
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Broken-Symmetry States of Dirac Fermions in Graphene with A Partially Filled High Landau Level
• Hypernetted-chain study of broken rotational symmetry states for the $\mathbf{\nu }$ = 1/3 fractional quantum Hall effect and other fractionally filled Landau levels
• Cyclotron resonance in antidot arrays
• Hysteresis and Noise in Stripe and Clump Forming Systems
• Geometric quench in the fractional quantum Hall effect: exact solution in quantum Hall matrix models and comparison with bimetric theory
• Strong Transport Anisotropy in a Ge/SiGe Quantum Well in Tilted Magnetic Fields
• Pair-Density-Wave Order and Paired Fractional Quantum Hall Fluids
• Orientational order parameters for arbitrary quantum systems
• Electron Bubbles and the Structure of the Orbital Wavefunction
• Reorientation of the stripe Phase of 2D Electrons by a Minute Density Modulation
• Symanzik's Method Applied To The Fractional Quantum Hall Edge States
• Hysteresis and re-entrant melting of a self-organized system of classical particles confined in a parabolic trap
• Anomalous Nematic States in High Half-Filled Landau Levels
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• Nonequilibrium transport in density-modulated phases of the second Landau level
• Coarse grained models of stripe forming systems: phase diagrams, anomalies and scaling hypothesis
• Observation of An Anisotropic Wigner Crystal
• Microscopic approach to orientational order of domain walls
• Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems
• Electron-solid and electron-liquid phases in graphene
• New collective states of 2D electrons in high Landau levels
• Impact of the modulation doping layer on the ν=5/2 anisotropy
• Quantum Hall Liquid Crystals
• Scaling Approach to the Phase Diagram of Quantum Hall Systems
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Observation of an in-plane magnetic-field-driven phase transition in a quantum Hall system with SU(4) symmetry
• Acoustic Measurements of the Stripe and the Bubble Quantum Hall Phases
• Electron-Hole Asymmetric Chiral Breakdown of Reentrant Quantum Hall States
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Vortex and disclination structures in a nematic-superconductor state
• Spatially resolved breakdown in reentrant quantum Hall states
• Dynamics of quantum Hall stripes in double-quantum-well systems
• Effective theory of incompressible quantum Hall liquid crystals
• Nematic Phase in two-dimensional frustrated systems with power law decaying interactions
• Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions
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• Disordering Transitions and Peak Effect in Polydisperse Particle Systems
• Adjacent face scattering of electrons on a square Fermi surface
• Phase diagram for quantum Hall states in graphene
• Quantum Depinning Transition of Quantum Hall Stripes
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
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• Chern-Simons Theory for Quantum Hall Stripes
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• Conformal field theory and edge excitations for the principal series of quantum Hall fluids
• Resistivity anisotropy of quantum Hall stripe phases
• Elastic theory of quantum Hall smectics: effects of disorder
• Possible composite-fermion liquid as a crossover from Wigner crystal to bubble phase in higher Landau level
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Apparent temperature-induced reorientation of quantum Hall stripes
• Topological entanglement entropy in the second Landau level
• Smectons: Soft modes in electronic stripe phases, and their consequences for thermodynamics and transport
• Microscopic details of stripes and bubbles in the quantum Hall regime
• Stability of multielectron bubbles in high Landau levels
• Role of disorder in half-filled high Landau levels
• Intertwined Orders and the Physics of High Temperature Superconductors
• Anisotropic ground states of the quantum Hall system with currents
• Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature
• Transport anisotropy in Ge quantum wells in the absence of quantum oscillations
• Optimal orientation of striped states in the quantum Hall system against external modulations
• Fluctuation-Induced Heat Release from Temperature-Quenched Nuclear Spins near a Quantum Critical Point
• Dynamical Conductivity of Disordered Quantum Hall Stripes
• Dilepton production from moaton quasiparticles
• Fluctuations and topological transitions of quantum Hall stripes: nematics as anisotropic hexatics
• Distinguishing XY from Ising Electron Nematics
• Quantum theory of bilayer quantum Hall smectics
• Anomalous coupling between magnetic and nematic orders in quantum Hall systems
• Spatially Inhomogeneous Superconducting and Bosonic Networks With Emergent Complex Behaviors
• Disordered Quantum smectics
• Paired Hall States versus Unidirectional CDW in Tilted Field for $\nu =5/2$
• Charge density waves and their transitions in anisotropic quantum Hall systems
• Possible continuous transition from fractional quantum Hall to stripe phase at ${\nu }_e=7/3$
• Energy Spectrum of Neutral Collective Excitations in Striped Hall States
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• Tuning the effects of Landau-level mixing on anisotropic transport in quantum Hall systems
• Glassy behavior of two-dimensional stripe-forming systems
• Nematic order on the surface of a three-dimensional topological insulator
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• Observation of the novel type of ordering: Spontaneous ferriquadrupolar order
• Nematic order driven by superconducting correlations
• Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime
• Variational Monte-Carlo calculation of the nematic state of the two-dimensional electron gas in a magnetic field
• Hidden Quantum Hall Stripes in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As Quantum Wells
• Local imaging of high mobility two-dimensional electron systems with virtual scanning tunneling microscopy
• A Ginzburg-Landau approach to the vortex-domain wall interaction in superconductors with nematic order
• Hartree-Fock Theory of Hole Stripe States
• Collective excitations in quantum Hall liquid crystals: Single-mode approximation calculations
• Strongly Interacting Phases of Metallic Wires in Strong Magnetic Field
• Fermi surface instabilities at finite Temperature
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• The microscopic picture of the integer quantum Hall regime
• Competition between Pomeranchuk instabilities in the nematic and hexatic channels in a two-dimensional spinless Fermi fluid
• Orientation of hole quantum Hall nematic phases in an out-of-plane electric field
• Striped quantum Hall phases
• Dynamics of edge Majorana fermions in $\nu =\frac{5}{2}$ fractional quantum Hall effects
• Quantum Hall stripes in high-density GaAs/AlGaAs quantum wells
• $O(N)$ smectic $\sigma$-model
• Effect of FET geometry on charge ordering of transition metal oxides
• Anomalous nematic-to-stripe phase transition driven by in-plane magnetic fields
• Density-induced reorientation of the stripe at half-filled high Landau levels
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
• Entanglement smectic and stripe order
• Even-denominator fractional quantum Hall states with spontaneously broken rotational symmetry
• Melting phase diagram of bubble phases in high Landau levels
• Negative permittivity attests to local attractive interactions in bubble and stripe phases
• Observation of new plasmons in the fractional quantum Hall effect: interplay of topological and nematic orders
• Valley polarization of Landau levels driven by residual strain in the ZrSiS surface band
• Anisotropic conductivity tensor on a half-filled high Landau level
• Neutral Collective Excitations in Striped Hall States
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids
• Vortices in a Ginzburg Landau Theory of Superconductors with Nematic Order
• Metastable anisotropy orientation of nematic quantum Hall fluids
• Quasiparticles in the multicomponenet Zhang-Hansson-Kivelson model
• Anisotropy in the Compressible Quantum Hall State