Hall Mobility of the Small Polaron. II

Holstein, T.; Friedman, L.

doi:10.1103/physrev.165.1019

Cited by 109 publications

(40 citation statements)

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“…Hall effect Holstein and Friedman (1968) have given a satisfactory theory of the Hall effect for dielectric polarons, but we have no equivalent theory for spin polarons. Also for conduction of e 2 type, that is excitation to a mobility edge within an impurity band, experimental results on doped semiconductors suggest that RIj = 1/nec where n is the total number of electrons, not those with energies above E c (Pepper 1978(Pepper , 1979.…”

Section: Nuclear Magnetic Resonancementioning

confidence: 97%

The spin-polaron theory of high-T_csuperconductivity

Mott

1990

Advances in Physics

125

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An outline is given of the model for some high-temperature superconductors which assumes that the carriers are holes in the (hybridized) oxygen 2p band and form 'spin polarons' with the moments on the copper atoms. A comparison is made with observations of spin polarons in Gda-xvxS4 and with the properties of Lal_xSr~VOa in relation to those of La2_xSrxCuO4. It is assumed, following several authors, that in the superconductors the polarons form bipolarons, which are bosons, and a comparison is made with some other treatments of this hypothesis. It is proposed that in many such superconductors the boson, essentially a pair of these holes, moves in an impurity band, and that normally all the polarons (fermions) form bipolarons; the fermions repel each other on the same site (positive Hubbard U) but attract when on adjacent sites; the critical temperature T~ is then that at which the Bose gas becomes non-degenerate. In such materials a nondegenerate gas of bosons would carry the current above T~ as first suggested by Alexandrov et al. (1986). The linear increase in the resistivity above T~ is explained on this hypothesis. The effective mass of the bipolaron is, we believe, large (~20-30me). The copper 3d 9 moments in the superconducting range resonate between their two orientations as a consequence of the motion of the carriers, as they do in the description by Brinkman and Rice (1970) of highly correlated metals. Spin polarons, we believe, form only when this is so, but not in the antiferromagnetic range of x. A discussion is given of the resistivity above T~, thermopower above T~, and of the nature of the superconducting gap as shown by tunnelling. We confine our discussion to the materials containing copper, excluding for instance cubic Bal_xKxBiO3, and possibly any superconductor containing bismuth, where the bosons may be Bi 3+. Contents PAGE

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Section: Nuclear Magnetic Resonancementioning

confidence: 97%

The spin-polaron theory of high-T_csuperconductivity

Mott

1990

Advances in Physics

125

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“…It consists of branches (Skal and Shklovskii's ' macrobonds ') which are connected at junctions, predominantly three branches to a junction. It is a consequence of Friedman and Holstein's theory of the hopping Hall effect (Friedman and Holstein 1963, Holstein and Friedman 1968) that Hall currents can be generated only in the junctions since it is only at these that the necessary triangles exist. We shall refer to these Hall current sources as extrinsic currents.…”

Section: Introductionmentioning

confidence: 98%

The Hall effect in the variable-range-hopping regime

Friedman

Pollak

1981

Philosophical Magazine B

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“…If we apply a static electric field along the x-direction and a static magnetic field along the z-direction, the Hall voltage is along the y-direction and proportional to both B z and E x . ASs are isotropic, and the Hall mobility is given by [8]:…”

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confidence: 99%

The microscopic response method: Theory of transport for systems with both topological and thermal disorder

Zhang

Drabold

2011

Physica Status Solidi (b)

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In this paper, we review and substantially develop the recently proposed ''Microscopic Response Method,'' which has been devised to compute transport coefficients and especially associated temperature dependence in complex materials. The conductivity and Hall mobility of amorphous semiconductors (ASs) and semiconducting polymers are systematically derived, and shown to be more practical than the Kubo formalism. The effect of a quantized lattice (phonons) on transport coefficients is fully included and then integrated out, providing the primary temperature dependence for the transport coefficients. For higher-order processes, using a diagrammatic expansion, one can consistently include all important contributions to a given order and directly write out the expressions of transport coefficients for various processes.

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Hall Mobility of the Small Polaron. II

Cited by 109 publications

References 6 publications

The spin-polaron theory of high-T_csuperconductivity

The spin-polaron theory of high-T_csuperconductivity

The Hall effect in the variable-range-hopping regime

The microscopic response method: Theory of transport for systems with both topological and thermal disorder

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Hall Mobility of the Small Polaron. II

Cited by 109 publications

References 6 publications

The spin-polaron theory of high-Tcsuperconductivity

The spin-polaron theory of high-Tcsuperconductivity

The Hall effect in the variable-range-hopping regime

The microscopic response method: Theory of transport for systems with both topological and thermal disorder

Contact Info

Product

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The spin-polaron theory of high-T_csuperconductivity

The spin-polaron theory of high-T_csuperconductivity