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• W2962888892 abstract "We consider fractional quantum Hall states built on Laughlin’s original N-body wave-functions, i.e., they are of the form holomorphic × Gaussian and vanish when two particles come close, with a given polynomial rate. Such states appear naturally when looking for the ground state of 2D particles in strong magnetic fields, interacting via repulsive forces and subject to an external potential due to trapping and/or disorder. We prove that all functions in this class satisfy a universal local density upper bound, in a suitable weak sense. Such bounds are useful to investigate the response of fractional quantum Hall phases to variations of the external potential. Contrary to our previous results for a restricted class of wave-functions, the bound we obtain here is not optimal, but it does not require any additional assumptions on the wave-function, besides analyticity and symmetry of the pre-factor modifying the Laughlin function." @default.
• W2962888892 created "2019-07-30" @default.
• W2962888892 creator A5023783195 @default.
• W2962888892 creator A5035181063 @default.
• W2962888892 date "2015-06-10" @default.
• W2962888892 modified "2023-10-10" @default.
• W2962888892 title "Incompressibility Estimates for the Laughlin Phase, Part II" @default.
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• W2962888892 doi "https://doi.org/10.1007/s00220-015-2400-2" @default.
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