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Updated: May 30, 2026

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
Published on: January 21, 2016
Lorentz shear modulus of fractional quantum Hall states
1European Theoretical Spectroscopy Facility (ETSF), Departamento de Fisica de Materiales, Universidad del Pais Vasco UPV/EHU, Centro Mixto CSIC-UPV/EHU, 20018 San Sebastian, Spain. Moscow Institute of Electronic Technology, Zelenograd, 124498, Russia.
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 ν = 1/m (m an odd integer) and find that it is equal to [Formula: see text], where n is the density of particles and the sign depends on the direction of magnetic field.
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