Emergence of Haldane pseudo-potentials in systems with short-range interactions

DOI10.1007/s10955-020-02586-0zbMath1447.81228arXiv2001.07144OpenAlexW3105777298WikidataQ99402934 ScholiaQ99402934MaRDI QIDQ2202308

Robert Seiringer, Jakob Yngvason

Publication date: 18 September 2020

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

Full work available at URL: https://arxiv.org/abs/2001.07144

zbMATH Keywords

fractional quantum Hall effectinteractionstrong, repulsive two-body

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Spectrum, resolvent (47A10) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Inelastic and multichannel quantum scattering (81U35) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items (10)

Coulomb and Riesz gases: The known and the unknown ⋮ The spectral gap of a fractional quantum Hall system on a thin torus ⋮ 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 ⋮ Stability of the Laughlin phase against long-range interactions ⋮ Dynamical Abelian anyons with bound states and scattering states ⋮ Ground state energy of the dilute spin-polarized Fermi gas: upper bound via cluster expansion ⋮ Holomorphic quantum Hall states in higher Landau levels ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger

Cites Work

• The mathematics of the Bose gas and its condensation.
• Strongly correlated phases in rapidly rotating Bose gases
• Exact results for the spectra of bosons and fermions with contact interaction
• An introduction to \(\Gamma\)-convergence
• Local incompressibility estimates for the Laughlin phase
• Quantum Hall phases and plasma analogy in rotating trapped Bose gases
• On the Laughlin function and its perturbations
• Stability of the Laughlin phase against long-range interactions
• Ground-State Energy of a Hard-Sphere Gas
• Bose-Einstein Condensation and Superfluidity
• The ground state energy of a dilute two-dimensional Bose gas.

This page was built for publication: Emergence of Haldane pseudo-potentials in systems with short-range interactions