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Heat rectification on the XX chain.

Saulo H S Silva1, Gabriel T Landi2, Raphael C Drumond3

  • 1Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, 30123-970 Belo Horizonte, Minas Gerais, Brazil.

Physical Review. E
|January 20, 2021
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Summary
This summary is machine-generated.

This study reveals that simple quantum spin chains can exhibit thermal rectification, a phenomenon where heat flows directionally. This effect can persist even in large systems, indicating its general occurrence in quantum systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Thermodynamics

Background:

  • Thermal rectification is crucial for heat management in nanoscale devices.
  • Understanding minimal requirements for thermal rectification is key to designing efficient systems.
  • Quantum spin systems offer a platform to explore fundamental thermal transport phenomena.

Purpose of the Study:

  • To investigate the minimal conditions for thermal rectification in a quantum spin chain.
  • To analyze the role of asymmetry and system size on thermal rectification.
  • To establish the general occurrence of thermal rectification in quantum spin systems.

Main Methods:

  • Utilized an open XX spin chain model with Lindblad dynamics.
  • Employed the Jordan-Wigner transformation for mathematical analysis.
  • Computed steady-state heat currents and other relevant properties.

Main Results:

  • Proved the occurrence of thermal rectification even in slightly asymmetrical spin chains.
  • Demonstrated that rectification can remain finite in the thermodynamic limit (large system size).
  • Presented numerical results for more asymmetrical chain configurations.

Conclusions:

  • The open XX spin chain model with Lindblad dynamics exhibits thermal rectification.
  • Asymmetry and system size play significant roles in the rectification phenomenon.
  • Thermal rectification is a general property of quantum spin systems, not limited to complex models.