Ground State Phase Diagram of 2D Electrons in High Magnetic Field

Abstract

The ground state of 2D electrons in high magnetic field is studied by the density matrix renormalization group method. The ground state energy, excitation gap, and pair correlation functions are systematically calculated at various fillings in the lowest and the second lowest Landau levels. The ground state phase diagram, which consists of incompressible liquid state, compressible liquid state, stripe state, pairing state, and Wigner crystal is determined.

arXiv comment10 pages, 21 figures, to appear in J. Phys. Soc. Jpn. Vol.72 No.3

References in corpus (19)

• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• 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
• The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
• Wigner Crystals in the lowest Landau level at low filling factors
• Stability and effective masses of composite-fermions in the first and second Landau Level
• Structures for Interacting Composite Fermions: Stripes, Bubbles, and Fractional Quantum Hall Effect
• DMRG Study of the Ground State at Higher Landau Levels - Stripes, Bubbles and the Wigner Crystal
• Excitation spectrum and effective mass of the even-fraction quantum Hall liquid

Cited by in corpus (43)

• The density-matrix renormalization group
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• NMR profiling of quantum electron solids in high magnetic fields
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• The Density Matrix Renormalization Group for finite Fermi systems
• Competing Crystal Phases in the Lowest Landau Level
• Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Ground State of v=1 Bilayer Quantum Hall Systems
• Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
• Wigner crystallization in topological flat bands
• Quantization of the diagonal resistance: Density gradients and the empirical resistance rule in a 2D system
• Microwave resonance of the reentrant insulating quantum Hall phases in the 1st excited Landau Level
• Density matrix renormalization group for bosonic quantum Hall effect
• Pair-distribution functions of correlated composite fermions
• Domain Formation in v=2/3 Fractional Quantum Hall Systems
• Stripe State in the Lowest Landau Level
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Real Space Effective Interaction and Phase Transition in the Lowest Landau Level
• Formulation of the Relativistic Quantum Hall Effect and "Parity Anomaly"
• Spatially resolved breakdown in reentrant quantum Hall states
• Electron-Hole Asymmetric Chiral Breakdown of Reentrant Quantum Hall States
• Density matrix renormalization group study of the $\nu =1/3$ edge states in fractional quantum Hall systems
• Analytical Theory of Strongly Correlated Wigner Crystals in the Lowest Landau Level
• Stability of multielectron bubbles in high Landau levels
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Incompressible States in Double Quantum Dots
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction
• DMRG study of FQHE systems in the open cylinder geometry
• Ground state phase diagram of 2D electrons in high magnetic field
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice
• Modulation Induced Phase Transition from Fractional Quantum Hall to Stripe State at nu=5/3
• Collapse of the fractional quantum Hall state by a unidirectional periodic potential modulation
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
• Stability of the Excitonic Phase in Bilayer Quantum Hall Systems at Total Filling One -- Effects of Finite Well Width and Pseudopotentials --
• Spin in fractional quantum Hall systems