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FIZIKA A 19 (2010) 2 , 93-108
 
MAGNETIC-FIELD INDUCED HOPPING CONDUCTION OF A PSEUDO-GAP INTERACTING SYSTEM
DEBNARAYAN JANA
Department of Physics, University College of Science and Technology,
92 A.
P. C. Road, Kolkata 700 009, W.B., India
E-mail address:djphy@caluniv.ac.in
Received 17 June 2009; Revised manuscript received 20
November 2009
Accepted 7 July 2010 Online 19 July 2010
We present a simple scaling form of Mott conductivity formula in case of
amorphous material in presence of an external magnetic field in an arbitrary
spatial dimension d. The model of the interacting system is chosen as the
variable range hopping (VRH) one with density of states having a soft gap at the
Fermi energy. We indicate the relation between the conductivity exponents (both
in weak and strong magnetic field) with that without the magnetic field. The
exponents related to the variation of activation energy with temperature have
also been computed. We also indicate the lower as well as the upper bound of the
conductivity exponents. Besides, a connecting formula between the exponents
(non-interacting, interacting with weak magnetic field and interacting with
strong magnetic field) shows that only two of them are independent.
Previously-known results can be obtained from this generalized form of the
conductivity. Finally, a comparison of the exponents has been done with the
strong electric field case.
PACS numbers: 72.80.Ng, 73.43.Qt
UDC 537.633, 537.312, 538.935
Keywords: variable range hopping (VRH) conduction, pseudo-gap amorphous
material
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