Lowest Landau Level Stress Tensor and Structure Factor of Trial Quantum Hall Wave Functions

Abstract

We show that for a class of model Hamiltonians for which certain trial quantum Hall wavefunctions are exact ground states, there is a single spectral density function which controls all two-point correlation functions of density, current and stress tensor components. From this we show that the static structure factors of these wavefunctions behaves at long wavelengths as $s_4{k}^4$ where the coefficient $s_4$ is directly related to the shift: $s_4=(\mathcal{S}-1)/8$.

5 pages

References in corpus (4)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Fractional Quantum Hall States and Jack Polynomials
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field

Cited by in corpus (2)

• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• A numerical study of bounds in the correlations of fractional quantum Hall states