Quantum energy flow in mesoscopic dielectric structures

Imperial College; London; M. P. Blencowe (The Blackett Lab.; U.K.)

Quantum energy flow in mesoscopic dielectric structures

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arxiv cond-mat/9803319 v1 pith:QTHAJYOI submitted 1998-03-26 cond-mat.mes-hall quant-ph

M. P. Blencowe (The Blackett Lab. , Imperial College , London , U.K.) This is my paper · ORCID

classification cond-mat.mes-hallquant-ph

keywords energymesoscopiccurrentdielectricflowabsorptionaspectsconcerning

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We investigate the phononic energy transport properties of mesoscopic, suspended dielectric wires. The Landauer formula for the thermal conductance is derived and its universal aspects discussed. We then determine the variance of the energy current in the presence of a steady state current flow. In the final part, some initial results are presented concerning the nature of the temperature fluctuations of a mesoscopic electron gas thermometer due to the absorption and emission of wire phonons.

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The Eigenstate Thermalization Hypothesis in a Quantum Point Contact Geometry
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For two free-fermion lattices connected by a few quantum point contacts, the entanglement entropy of typical excited eigenstates grows only linearly with subsystem size, not extensively.

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