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Universal Relations between Thermoelectrics and Noise in Mesoscopic Transport across a Tunnel Junction
Andrei I Pavlov1, Mikhail N Kiselev2
1Karlsruhe Institute of Technology, IQMT, 76131 Karlsruhe, Germany.
Abstract:
We develop a unified theory of weakly probed differential observables for currents and noise in transport experiments. Our findings uncover a set of universal transport relations between thermoelectric and noise properties of a system probed through a tunnel contact, with the Wiedemann-Franz law being just one example of such universality between charge and heat currents. We apply this theory to various quantum systems, including multichannel Kondo, quantum Hall and Sachdev-Ye-Kitaev quantum dots, resonant impurity, and two-stage Kondo models and demonstrate that each of the microscopic theories is characterized by a set of universal relations connecting conductance and thermoelectrics with noise. Violations of these relations indicate additional energy scales emerging in a system.
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