Journal
PHYSICAL REVIEW B
Volume 104, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.035150
Keywords
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Funding
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- Simons Investigator Award
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The study explores tensorial transport coefficients of thermoelectric phenomena and derives a version of Kubo formulas for lattice systems that is free from ambiguities. It identifies a class of lattice systems where additional terms vanish and suggests interpreting skew-symmetric components as relative quantities to eliminate ambiguities.
A macroscopic description of thermoelectric phenomena involves several tensorial transport coefficients. Textbook microscopic Kubo formulas for them are plagued with ambiguities in the definitions of the current operators and the magnetization. We derive a version of these formulas for lattice systems that is free from ambiguities but contains additional terms compared to the textbook results. For symmetric components of thermoelectric tensors, we identify a large class of lattice systems for which the additional terms vanish with a natural choice of the energy current. To eliminate ambiguities in the skew-symmetric components, one needs to interpret them as relative quantities: only their differences for pairs of materials are well-defined.
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