Stability of the Laughlin phase against long-range interactions

DOI10.1007/s00205-020-01536-0zbMath1441.82019arXiv1906.05564OpenAlexW2951236869MaRDI QIDQ2190731

Alessandro Olgiati, Nicolas Rougerie

Publication date: 22 June 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05564

zbMATH Keywords

fractional quantum Hall effectLaughlin phase

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Interacting particle systems in time-dependent statistical mechanics (82C22) Fractional derivatives and integrals (26A33) Electromagnetic interaction; quantum electrodynamics (81V10) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of gases (82D05) Fractional partial differential equations (35R11)

Related Items

Quantum statistics transmutation via magnetic flux attachment, Emergence of Haldane pseudo-potentials in systems with short-range interactions, Holomorphic quantum Hall states in higher Landau levels, Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger, The nonlinear Schrödinger equation for orthonormal functions: existence of ground states, On the Laughlin function and its perturbations

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