Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas

Abstract

Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic field has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the half-filled Landau level, where the Fermi sea of composite fermions, a fractional quantum Hall state arising from a pairing instability of the composite fermions, and the quantum Hall nematic were observed in the half-filled $N=0$, $N=1$, and $N\ge 2$ Landau levels, respectively. Thus different ground states developed in different half-filled Landau levels. This situation has recently changed, when evidence for both the paired fractional quantum Hall state and the quantum Hall nematic was reported in the half-filled $N=1$ Landau level. Furthermore, a direct quantum phase transition between these two ordered states was found. These results highlight an intimate connection between pairing and nematicity, a topic of current interest in several strongly correlated systems, in a well-understood and low disorder environment.

References in corpus (107)

• High-temperature superconductivity in iron-based materials
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Nematic order in iron superconductors - who is in the driver's seat?
• Theory of Intertwined Orders in High Temperature Superconductors
• Superconductivity in Cu_xTiSe_2
• Characterization of collective ground states in single-layer NbSe2
• Nematic Fermi Fluids in Condensed Matter Physics
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Liquid Crystal Phases of Quantum Hall Systems
• Exact results for interacting electrons in high Landau levels
• The remarkable underlying ground states of cuprate superconductors
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Enhancement of superconductivity near a nematic quantum critical point
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
• Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\nu =9/2$ and $\nu =5/2$ Under Tilted Magnetic Field
• Intertwined vestigial order in quantum materials: nematicity and beyond
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Even denominator fractional quantum Hall state in bilayer graphene
• Tuning the Charge Density Wave and Superconductivity in CuxTaS2
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Charge Density Wave Ordering in Half Filled High Landau Levels
• The half-filled Landau level: the case for Dirac composite fermions
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Strong enhancement of superconductivity at high pressures within the charge-density-wave states of 2H-TaS 2 and 2H-TaSe 2
• Quantum Theory of Quantum-Hall Smectics
• Nematic phase of the two-dimensional electron gas in a magnetic field
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Fractional Quantum Hall Effect in the Second Landau Level
• Using controlled disorder to probe the interplay between charge order and superconductivity in NbSe2
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• Observation of a Nematic Quantum Hall Liquid on the Surface of Bismuth
• Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Evidence for a fractional quantum Hall state with anisotropic longitudinal transport
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Field-tilt Anisotropy Energy in Quantum Hall Stripe States
• Paired composite fermion wavefunctions
• Cooper Instability of Composite Fermions
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
• Finite Temperature Density Instability at High Landau Level Occupancy
• Experimental probe of topological orders and edge excitations in the second Landau level
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• Particle-Hole Symmetry Breaking and the 5/2 Fractional Quantum Hall Effect
• Transference of Transport Anisotropy to Composite Fermions
• Composite Fermions Waltz to the Tune of a Wigner Crystal
• Theory of Quantum Hall Nematics
• Effect of strain on stripe phases in the Quantum Hall regime
• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Competing Fractional Quantum Hall and Electron Solid Phases in Graphene
• $nu=5/2$ Fractional Quantum Hall State in Low-Mobility Electron Systems: Different Roles of Disorder
• Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
• Striped quantum Hall state in a half-filled Landau level
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Experimental Demonstration of Fermi Surface Effects at Filling Factor 5/2
• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
• Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Fractional Quantum Hall Effect at High Fillings in a Two-subband Electron System
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Pomeranchuk Instability of Composite Fermi Liquids
• Increasing the ν = 5 / 2 gap energy: an analysis of MBE growth parameters
• Heterostructure Symmetry and the Orientation of the Quantum Hall Nematic Phases
• Superconducting Order Parameter for the Even-denominator Fractional Quantum Hall Effect
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Reorientation of quantum Hall stripes within a partially filled Landau level
• Direct observation of composite fermions and their fully spin-polarized Fermi sea near $\nu =5/2$
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Evidence for a new symmetry breaking mechanism reorienting quantum Hall nematics
• Berry Phase and Anomalous Transport of the Composite Fermions at the Half-Filled Landau Level
• Transition from a fractional quantum Hall liquid to an electron solid at Landau level filling nu = 1/3 in tilted magnetic fields
• Specific heat and entropy of fractional quantum Hall states in the second Landau level
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Reorientation of the stripe Phase of 2D Electrons by a Minute Density Modulation
• Nematic fluctuations balancing the zoo of phases in half-filled quantum Hall systems
• Impact of the modulation doping layer on the ν=5/2 anisotropy
• Acoustic Measurements of the Stripe and the Bubble Quantum Hall Phases
• Tuning the effects of Landau-level mixing on anisotropic transport in quantum Hall systems
• Competing quantum Hall phases in the second Landau level in low density limit

Cited by in corpus (8)

• Quantum smectic gauge theory
• Microscopic Model for Fractional Quantum Hall Nematics
• Fractonic gauge theory of smectics
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Magnetotransport patterns of collective localization near $\nu =1$ in a high-mobility two-dimensional electron gas
• Intertwined Orders and the Physics of High Temperature Superconductors