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Heat conduction in one-dimensional aperiodic quantum Ising chains.

Wenjuan Li1, Peiqing Tong

  • 1Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210046, People's Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 27, 2011
PubMed
Summary

Nonperiodic quantum Ising chains exhibit tunable heat conductivity. Researchers modulated heat transport from abnormal to insulating by adjusting coupling ratios, impacting thermal properties.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Systems
  • Statistical Mechanics

Background:

  • Understanding heat transport in complex quantum systems is crucial for developing advanced materials and devices.
  • Nonperiodic structures, such as those based on Fibonacci or Thue-Morse sequences, introduce unique physical properties compared to periodic systems.

Purpose of the Study:

  • To numerically investigate the heat conductivity of nonperiodic quantum Ising chains.
  • To explore how varying coupling ratios and external fields influence energy transport in these systems.

Main Methods:

  • Numerical simulation using the Lindblad master equation to model quantum spin chains.
  • Analysis of energy-density profiles and energy currents in nonequilibrium steady states.
  • Study of chains with Fibonacci, generalized Fibonacci, Thue-Morse, and period-doubling sequences.

Main Results:

  • Existence of energy gradients and scaling of energy currents ( ~N^α) were observed in all nonperiodic chains.
  • The exponent α was modulated by the ratio of exchange couplings, enabling control over heat transport.
  • A transition from abnormal heat transport to a heat insulating state was identified by tuning the coupling ratio.

Conclusions:

  • Nonperiodic quantum Ising chains display tunable thermal conductivity, offering potential for novel thermoelectric applications.
  • The interplay between nonperiodicity, coupling ratios, and external fields provides a mechanism to control heat flow.
  • These findings contribute to the fundamental understanding of thermal transport in disordered and complex quantum materials.