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Chin. Phys. B, 2021, Vol. 30(4): 040501    DOI: 10.1088/1674-1056/abd393
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Equilibrium dynamics of the sub-ohmic spin-boson model at finite temperature

Ke Yang(杨珂) and Ning-Hua Tong(同宁华)
1 Department of Physics, Renmin University of China, Beijing 100072, China
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 ωTT 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.
Keywords:  spin-boson model      full-density matrix renormalization group      quantum phase transition      dynamical correlation function      finite temperature  
Received:  15 October 2020      Revised:  05 November 2020      Accepted manuscript online:  15 December 2020
PACS:  05.10.Cc (Renormalization group methods)  
  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)  
Fund: 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).
Corresponding Authors:  Corresponding author. E-mail: nhtong@ruc.edu.cn   

Cite this article: 

Ke Yang(杨珂) and Ning-Hua Tong(同宁华) Equilibrium dynamics of the sub-ohmic spin-boson model at finite temperature 2021 Chin. Phys. B 30 040501

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