Journal
PHYSICAL REVIEW B
Volume 102, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.102.165137
Keywords
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Funding
- National Science Foundation [PHY-1607611]
- MEXT/JSPS KAKENHI [JP19H01808, JP17H06462]
- JST CREST, Japan [JPMJCR19T2]
- JST PRESTO [JPMJPR18LA]
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The f-sum rule and the Kohn formula are well-established general constraints on the electric conductivity in quantum many-body systems. We present their generalization to nonlinear conductivities at all orders of the response in a unified manner by considering two limiting quantum time-evolution processes: a quench process and an adiabatic process. Our generalized formulas are valid in any stationary state, including the ground state and finite-temperature Gibbs states, regardless of the details of the system such as the specific form of the kinetic term, the strength of the many-body interactions, or the presence of disorders.
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