Lorentz shear modulus of fractional quantum Hall states

Abstract

We show that the Lorentz shear modulus of macroscopically homogeneous electronic states in the lowest Landau level is proportional to the bulk modulus of an equivalent system of interacting classical particles in the thermodynamic limit. Making use of this correspondence we calculate the Lorentz shear modulus of Laughlin's fractional quantum Hall states at filling factor $\nu =1/m$ ($m$ an odd integer) and find that it is equal to $\pm \hslash mn/4$, where $n$ is the density of particles and the sign depends on the direction of magnetic field. This is in agreement with the recent result obtained by Read in arXiv:0805.2507 and corrects our previous result published in Phys. Rev. B {\bf 76}, 161305 (R) (2007).

8 pages, 3 figures

References in corpus (7)

• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Monte Carlo simulation method for Laughlin-like states in a disk geometry
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Time-dependent deformation functional theory
• Magnetoelasticity theory of incompressible quantum Hall liquids
• A new collective mode in the fractional quantum Hall liquid
• Unified hydrodynamics theory of the lowest Landau level

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