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Flux rectification in the quantum XXZ chain.

Gabriel T Landi1, E Novais1, Mário J de Oliveira2

  • 1Universidade Federal do ABC, 09210-580 Santo André, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 7, 2014
PubMed
Summary

Researchers investigated thermal rectification in quantum spin chains, finding it persists even in large systems. This phenomenon, crucial for thermal diodes, was analyzed using quantum XXZ models and master equations.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Thermal rectification, the direction-dependent heat flux, is key for developing thermal diodes.
  • Quantum spin chains offer a platform to explore fundamental physical phenomena like thermal transport.

Purpose of the Study:

  • To investigate thermal rectification in a quantum XXZ chain under an inhomogeneous field.
  • To analyze the system's non-equilibrium dynamics driven by boundary reservoirs.
  • To determine the dependence of the rectification coefficient on model parameters.

Main Methods:

  • Modeling the quantum XXZ chain with an inhomogeneous field using a Lindblad master equation.
  • Exact treatment for small system sizes and numerical analysis for larger systems.
  • Investigating the functional dependence of the rectification coefficient on anisotropy, field amplitude, and driving strength.

Main Results:

  • An explicit expression for the rectification coefficient was derived near the XX point under specific conditions (small inhomogeneity, low driving).
  • The study demonstrates that thermal rectification persists even in the thermodynamic limit.
  • It was proven that no rectification occurs in the standard XX chain.

Conclusions:

  • The quantum XXZ chain exhibits tunable thermal rectification, with potential applications in thermal management.
  • The findings provide a theoretical framework for understanding non-equilibrium quantum transport phenomena.
  • The persistence of rectification in the thermodynamic limit highlights its robustness and practical relevance.