Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model At Finite Temperature

Abstract

We use the full-density matrix (FDM) numerical renormalization group (NRG) method to calculate the equilibrium dynamical correlation function $C(\omega )$ of the spin operator ${\sigma }_z$ at finite temperature for the sub-Ohmic spin-boson model. A peak is observed at the frequency ${\omega }_T\sim T$ in the curve of $C(\omega )$. The curve merges with the zero temperature $C(\omega )$ in $\omega \gg {\omega }_T$ and deviate significantly from the power-law form ${\omega }^{\pm s}$ of the zero temperature curve in $\omega \ll {\omega }_T$.

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Cited by in corpus (1)

• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature