20.500.12556/RUL-167793
Quantum origin of Ohm’s reciprocity relation and its violation: conductivity as inverse resistivity
Conventional wisdom teaches us that the electrical conductivity in a material is the inverse of its resistivity. In this work, we show that, when both of these transport coefficients are defined in linear response through the Kubo formulas as two-point correlators of conserved currents in quantum field theory, this Ohm’s reciprocity relation is generically violated in theories with dynamical electromagnetism. We then elucidate how in certain special limits (e.g., in the dc limit in the presence of thermal effects, in certain 2+1d conformal theories, and in holographic supersymmetric theories) the reciprocity relation is reinstated as an emergent property of conductive and resistive transport. We also show that if the response of a material is measured with respect to the total electric field that includes quantum corrections, then the reciprocity relation is satisfied by definition. However, in that case, the transport coefficients are given by the photon vacuum polarization and not the correlators of conserved currents that dominate the hydrodynamic macroscopic late-time transport.
electrical conductivity
electrical resistivity
quantum physics
field theory
električna prevodnost
električna upornost
kvantna fizika
teorija polja
true
false
true
Angleški jezik
Slovenski jezik
Članek v reviji
2025-03-12 10:31:25
2025-03-12 10:31:26
2025-03-13 04:15:53
0000-00-00 00:00:00
2025
0
0
Str. 056010-1-056010-8
iss. 5
Vol. 111
2025
0000-00-00
Zaloznikova
Objavljeno
NiDoloceno
0000-00-00
0000-00-00
0000-00-00
53
2470-0010
10.1103/PhysRevD.111.056010
228678403
PhysRevD.111.056010.pdf
PhysRevD.111.056010.pdf
1
3D643C036282C48BE25D1739C9EB0A8C
ff725feeb8f3bf60e2629198b41473cb1eb284e10f3ac4d8df8a30ff6b9e1a46
fbc4bb8d-ff23-11ef-b232-0050569b8976
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=200558
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.111.056010
0
070755c6-ff24-11ef-b232-0050569b8976
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=200560
Fakulteta za matematiko in fiziko
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0
0