TY - JOUR

T1 - Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model

T2 - Entropy, scaling, and the g-theorem

AU - Yu, Zuodong

AU - Zamani, Farzaneh

AU - Ribeiro, Pedro

AU - Kirchner, Stefan Bernd

N1 - Publisher Copyright:
© 2020 American Physical Society.

PY - 2020/9/15

Y1 - 2020/9/15

N2 - We study the behavior of the entropy of the pseudogap Bose-Fermi Kondo model within a dynamical large-N limit, where N is related to the symmetry group of the model. This model is a general quantum impurity model that describes a localized level coupled to a fermionic bath having a density of states that vanishes in a power-law fashion near the Fermi energy and to a bosonic bath possessing a power-law spectral density below a cutoff energy. As a function of the couplings to the baths, various quantum phase transitions can occur. We study how the impurity entropy changes across these zero-temperature transitions and compare our results with predictions based on the g-theorem. This is accomplished by an analysis of the leading and subleading scaling behaviors. Our analysis shows that the g-theorem does not apply to the pseudogap Bose-Fermi Kondo model at the large-N level. This inapplicability originates from an anomalous contribution to the scaling function in the hydrodynamic regime where kBT>ω which is absent in the quantum coherent regime, i.e., for kBT<ω. We also compare our results with those obtained for the Sachdev-Ye-Kitaev model.

AB - We study the behavior of the entropy of the pseudogap Bose-Fermi Kondo model within a dynamical large-N limit, where N is related to the symmetry group of the model. This model is a general quantum impurity model that describes a localized level coupled to a fermionic bath having a density of states that vanishes in a power-law fashion near the Fermi energy and to a bosonic bath possessing a power-law spectral density below a cutoff energy. As a function of the couplings to the baths, various quantum phase transitions can occur. We study how the impurity entropy changes across these zero-temperature transitions and compare our results with predictions based on the g-theorem. This is accomplished by an analysis of the leading and subleading scaling behaviors. Our analysis shows that the g-theorem does not apply to the pseudogap Bose-Fermi Kondo model at the large-N level. This inapplicability originates from an anomalous contribution to the scaling function in the hydrodynamic regime where kBT>ω which is absent in the quantum coherent regime, i.e., for kBT<ω. We also compare our results with those obtained for the Sachdev-Ye-Kitaev model.

UR - http://www.scopus.com/inward/record.url?scp=85093523737&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.102.115124

DO - 10.1103/PhysRevB.102.115124

M3 - Article

AN - SCOPUS:85093523737

SN - 2469-9950

VL - 102

SP - 1

EP - 18

JO - Physical Review B

JF - Physical Review B

IS - 11

M1 - 115124

ER -