Thermodynamic and tunneling density of states of the integer quantum Hall critical state
Abstract
We examine the long wavelength limit of the selfconsistent HartreeFock approximation irreducible static densitydensity response function by evaluating the charge induced by an external charge. Our results are consistent with the compressibility sum rule and inconsistent with earlier work that did not account for consistency between the exchange local field and the disorder potential. We conclude that the thermodynamic density of states is finite, in spite of the vanishing tunneling density of states at the critical energy of the integer quantum Hall transition.
 Publication:

Physical Review B
 Pub Date:
 January 2002
 DOI:
 10.1103/PhysRevB.65.041302
 Bibcode:
 2002PhRvB..65d1302E
 Keywords:

 73.21.b;
 73.20.Mf;
 Electron states and collective excitations in multilayers quantum wells mesoscopic and nanoscale systems;
 Collective excitations