TY - JOUR

T1 - Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface

AU - Ong, N. P.

PY - 1991

Y1 - 1991

N2 - The Hall conductivity xy of a two-dimensional metal in the weak-field, semiclassical, limit has a simple geometric representation. xy (normalized to e2/h, where e is the electron charge and h is Plancks constant), is equal to twice the number of flux quanta 0 threading the area Al, where Al is the total Stokes area swept out by the scattering path length l(k) as k circumscribes the Fermi surface (FS). From this perspective, many properties of xy become self-evident. The representation provides a powerful way to disentangle the distinct contributions of the three factors, FS area-to-circumference ratio, anisotropy in lk, and negative FS curvature. The analysis is applied to the Hall data on 2H-NbSe2 and the cuprate perovskites. Previous model calculations of xy are critically reexamined using the new representation.

AB - The Hall conductivity xy of a two-dimensional metal in the weak-field, semiclassical, limit has a simple geometric representation. xy (normalized to e2/h, where e is the electron charge and h is Plancks constant), is equal to twice the number of flux quanta 0 threading the area Al, where Al is the total Stokes area swept out by the scattering path length l(k) as k circumscribes the Fermi surface (FS). From this perspective, many properties of xy become self-evident. The representation provides a powerful way to disentangle the distinct contributions of the three factors, FS area-to-circumference ratio, anisotropy in lk, and negative FS curvature. The analysis is applied to the Hall data on 2H-NbSe2 and the cuprate perovskites. Previous model calculations of xy are critically reexamined using the new representation.

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U2 - 10.1103/PhysRevB.43.193

DO - 10.1103/PhysRevB.43.193

M3 - Article

AN - SCOPUS:0000239226

SN - 0163-1829

VL - 43

SP - 193

EP - 201

JO - Physical Review B

JF - Physical Review B

IS - 1

ER -