Holomorphic quantum Hall states in higher Landau levels

DOI10.1063/5.0004111zbMath1443.81064arXiv1912.10904OpenAlexW3099252360MaRDI QIDQ3298895

Nicolas Rougerie, Jakob Yngvason

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10904

zbMATH Keywords

Landau levels

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Holomorphic functions of several complex variables (32A10)

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Cites Work

• Coherent states and applications in mathematical physics.
• Strongly correlated phases in rapidly rotating Bose gases
• Local incompressibility estimates for the Laughlin phase
• The Laughlin liquid in an external potential
• Fluctuations of two dimensional Coulomb gases
• Rigidity of the Laughlin liquid
• Quantum Hall phases and plasma analogy in rotating trapped Bose gases
• Incompressibility estimates for the Laughlin phase
• On the Laughlin function and its perturbations
• Stability of the Laughlin phase against long-range interactions
• Emergence of Haldane pseudo-potentials in systems with short-range interactions
• Incompressibility estimates for the Laughlin phase. II
• Local density for two-dimensional one-component plasma
• Nobel Lecture: Fractional quantization
• The origin of holomorphic states in Landau levels from non-commutative geometry and a new formula for their overlaps on the torus
• Composite Fermions
• Unnamed Item
• Unnamed Item