• 文献标题:   Kondo effect due to a hydrogen impurity in graphene: A multichannel Kondo problem with diverging hybridization
  • 文献类型:   Article
  • 作  者:   SHI Z, NICA EM, AFFLECK I
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Free Univ Berlin
  • 被引频次:   2
  • DOI:   10.1103/PhysRevB.100.125158
  • 出版年:   2019

▎ 摘  要

We consider the Kondo effect, arising from a hydrogen impurity in graphene. As a first approximation, the strong covalent bond to a carbon atom removes that carbon atom without breaking the C-3 rotation symmetry, and we retain only the Hubbard interaction on the three nearest neighbors of the removed carbon atom which then behave as magnetic impurities. These three impurity spins are coupled to three conduction channels with definite helicity, two of which support a diverging local density of states (LDOS) proportional to 1 /[vertical bar omega vertical bar ln(2) (Lambda/vertical bar omega vertical bar)] near the Dirac point omega -> 0 even though the bulk density of states vanishes linearly. We study the resulting three-impurity multichannel Kondo model using the numerical renormalization group method. For weak potential scattering, the ground state of the Kondo model is a particle-hole symmetric spin-1/2 doublet, with ferromagnetic coupling between the three impurity spins; for moderate potential scattering, the ground state becomes a particle-hole asymmetric spin singlet, with antiferromagnetic coupling between the three impurity spins. This behavior is inherited by the Anderson model containing the hydrogen impurity and all four carbon atoms in its vicinity.