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Energy-twisted boundary condition and response in one-dimensional quantum many-body systems

Energy-twisted boundary condition and response in one-dimensional quantum many-body systems

Thermal transport in condensed matter systems is traditionally formulated as a response to a background gravitational field. In this work, we seek a twisted-boundary-condition formalism for thermal transport in analogy to the $U(1)$ twisted boundary condition for electrical transport. Specifically, using the transfer matrix formalism, we introduce what we call …