Universal explicit expression for quantum Hall conductance at any temperatures and chemical potentials |
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Authors: | Nai-Yi Cui |
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Institution: | NIBEC, School of Electrical and Mechanical Engineering, University of Ulster, County Antrim, Newtownabbey BT37 0QB, UK |
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Abstract: | This paper generalises the theorem already obtained Solid State Commun. 127 (2003) 505] for the high mobility, dissipationless, integer quantum Hall systems at T=0 K to the T>0 K situations. The results obtained are again suitable at both microscopic and macroscopic scales. In comparison Solid State Commun. 127 (2003) 505], this generalised form gives a universal explicit expression for the Hall conductance σxy(μ,T) between any two points selected in such a system as a function of chemical potential and temperature. Further, thermal deviation Δσxy(μ,T) from the exact quantised values of σxy(μ,T) and the minimum slopes of Hall plateaux in the T>0 cases, observed already in experiments, are also derived in theory. Similar to those in the T=0 K case Solid State Commun. 127 (2003) 505], the overall quantum Hall behaviour of the system can again be obtained from this theory by simply selecting two points on the two Hall contacts. |
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Keywords: | 71 70 Di 73 43 Cd |
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