The Hall current as a local thermodynamic potential
Identifieur interne : 001D86 ( Main/Curation ); précédent : 001D85; suivant : 001D87The Hall current as a local thermodynamic potential
Auteurs : Yehuda Roth [Israël]Source :
- Physics Letters A [ 0375-9601 ] ; 1994.
English descriptors
- Teeft :
- Adiabatically, Average energy, Canonical, Center approximation, Common cause, Cyclotron, Cyclotron length, Different energy, Electric field, Electronic energy, Finite temperatures, Full landau bands, Grand canonical, Hall currents, Hall effect, Landau, Landau band, Landau bands, Local pressure, Magnetic case, Magnetic field, Magnetic field variation, Magnetic hall, Magnetic moment, Phys, Physics letters, Roth, Roth physics letters, Same cause, Sample edges, Thermal energy, Thermodynamic, Thermodynamic equilibrium, Thermodynamic hall currents, Thickness case, Thin sample, Unified framework.
Abstract
Abstract: It is known that a Hall current can be obtained in the presence of a battery. Recently, it was shown that a sort of Hall current can be obtained even in the absence of a battery, by geometrical means. In this paper we show that both kinds of currents, in a sense, stem from a common cause. Moreover, we show that there are two other kinds of Hall currents which stem from the same cause. They exist when the system is inhomogeneous in one direction. We do this by defining a “local” grand canonical potential which turns out to be proportional (at low temperatures) to the Hall current.
Url:
DOI: 10.1016/0375-9601(94)90828-1
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<term>Physics letters</term>
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<front><div type="abstract" xml:lang="en">Abstract: It is known that a Hall current can be obtained in the presence of a battery. Recently, it was shown that a sort of Hall current can be obtained even in the absence of a battery, by geometrical means. In this paper we show that both kinds of currents, in a sense, stem from a common cause. Moreover, we show that there are two other kinds of Hall currents which stem from the same cause. They exist when the system is inhomogeneous in one direction. We do this by defining a “local” grand canonical potential which turns out to be proportional (at low temperatures) to the Hall current.</div>
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