中国物理B ›› 2021, Vol. 30 ›› Issue (4): 40501-.doi: 10.1088/1674-1056/abd393

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  • 收稿日期:2020-10-15 修回日期:2020-11-05 接受日期:2020-12-15 出版日期:2021-03-16 发布日期:2021-03-16

Equilibrium dynamics of the sub-ohmic spin-boson model at finite temperature

Ke Yang(杨珂) and Ning-Hua Tong(同宁华)†   

  1. 1 Department of Physics, Renmin University of China, Beijing 100072, China
  • Received:2020-10-15 Revised:2020-11-05 Accepted:2020-12-15 Online:2021-03-16 Published:2021-03-16
  • Contact: †Corresponding author. E-mail: nhtong@ruc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11374362 and 11974420), the Fundamental Research Funds for the Central Universities, China, and the Research Funds of Renmin University of China (Grant No. 15XNLQ03).

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Abstract: We use the full-density matrix numerical renormalization group method to calculate the equilibrium dynamical correlation function C(ω) of the spin operator σz at finite temperature for the sub-ohmic spin-boson model. A peak is observed at the frequency ωT∼ T in the curve of C(ω). The curve merges with the zero-temperature C(ω) in $\omega \gg \omega_\rm T$ and deviates significantly from the zero-temperature curve in ω «ω T.

Key words: spin-boson model, full-density matrix renormalization group, quantum phase transition, dynamical correlation function, finite temperature

中图分类号:  (Renormalization group methods)

  • 05.10.Cc
05.30.Jp (Boson systems) 64.70.Tg (Quantum phase transitions) 75.20.Hr (Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)