Local incompressibility estimates for the Laughlin phase
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Publication:1720189
DOI10.1007/s00220-018-3181-1zbMath1410.82009arXiv1701.09064OpenAlexW2585098560WikidataQ129621416 ScholiaQ129621416MaRDI QIDQ1720189
Jakob Yngvason, Nicolas Rougerie, Elliott H. Lieb
Publication date: 12 February 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.09064
NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of plasmas (82D10) Statistical thermodynamics (82B30)
Related Items (10)
Coulomb and Riesz gases: The known and the unknown ⋮ Spectral gaps and incompressibility in a \(\nu = 1/3\) fractional quantum Hall system ⋮ Quantum statistics transmutation via magnetic flux attachment ⋮ A bulk spectral gap in the presence of edge states for a truncated pseudopotential ⋮ Large deviation principle for empirical fields of log and Riesz gases ⋮ Stability of the Laughlin phase against long-range interactions ⋮ The planar low temperature Coulomb gas: separation and equidistribution ⋮ Emergence of Haldane pseudo-potentials in systems with short-range interactions ⋮ Holomorphic quantum Hall states in higher Landau levels ⋮ On the Laughlin function and its perturbations
Cites Work
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- A note on large deviations for 2D Coulomb gas with weakly confining potential
- First-order global asymptotics for confined particles with singular pair repulsion
- 1D log gases and the renormalized energy: crystallization at vanishing temperature
- Large deviations for the two-dimensional two-component plasma
- Geometric methods for nonlinear many-body quantum systems
- Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates
- Strongly correlated phases in rapidly rotating Bose gases
- Some integral identities and inequalities for entire functions and their application to the coherent state transform
- The Thomas-Fermi theory of atoms, molecules and solids
- Concentration for Coulomb gases and Coulomb transport inequalities
- Local microscopic behavior for 2D Coulomb gases
- Large deviation principle for empirical fields of log and Riesz gases
- Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere
- Equidistribution of jellium energy for Coulomb and Riesz interactions
- The Laughlin liquid in an external potential
- Repulsion in low temperature \({\beta}\)-ensembles
- Fluctuations of two dimensional Coulomb gases
- Rigidity of the Laughlin liquid
- Quantum Hall phases and plasma analogy in rotating trapped Bose gases
- Coulomb gases and Ginzburg-Landau vortices
- Incompressibility estimates for the Laughlin phase
- 2D Coulomb gases and the renormalized energy
- Incompressibility estimates for the Laughlin phase. II
- Local density for two-dimensional one-component plasma
- Absolute continuity on tracks and mappings of Sobolev spaces
- The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
- Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals
- Optimal Distribution of Oppositely Charged Phases: Perfect Screening and Other Properties
- TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
- Nobel Lecture: Fractional quantization
- Thomas-fermi and related theories of atoms and molecules
- An Introduction to Random Matrices
- The Stability of Matter in Quantum Mechanics
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- A Density Theorem for Weighted Fekete Sets
- Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials
- A "liquid-solid" phase transition in a simple model for swarming, based on the "no flat-spots" theorem for subharmonic functions
- Microscopic description of Log and Coulomb gases
- Renormalized Energy Equidistribution and Local Charge Balance in 2D Coulomb Systems
- Composite Fermions
- A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
- NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS
- Weakly admissible vector equilibrium problems
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