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- W1517187330 abstract "We investigate the Kondo effect in Dirac systems, where Dirac electrons interact with the localized spin via the s-d exchange coupling. The Dirac electron in solid state has the linear dispersion and is described typically by the Hamiltonian such as $H_k= v{bf k}cdot {sigma}$ for the wave number ${bf k}$ where $sigma_j$ are Pauli matrices. We derived the formula of the Kondo temperature $T_{rm K}$ by means of the Green's function theory for small $J$. The $T_{rm K}$ is determined from a singularity of Green's functions in the form $T_{rm K}simeq bar{D}exp(-{rm const.}/rho |J|)$ when the exchange coupling $|J|$ is small where $bar{D}=D/sqrt{1+D^2/(2mu)^2}$ for a cutoff $D$ and $rho$ is the density of states at the Fermi surface. When $|mu|ll D$, $T_{rm K}$ is proportional to $|mu|$: $T_{rm K}simeq |mu|exp(-{rm const.}/rho |J|)$. The Kondo screening will, however, disappear when the Fermi surface shrinks to a point called the Dirac point, that is, $T_{rm K}$ vanishes when the chemical potential $mu$ is just at the Dirac point. The resistivity and the specific heat exhibit a log-$T$ singularity in the range $T_{rm K} < Tll |mu|/k_{rm B}$. Instead, for $Tsim O(|mu|)$ or $T>|mu|$, they never show log-$T$." @default.
- W1517187330 created "2016-06-24" @default.
- W1517187330 creator A5022136795 @default.
- W1517187330 date "2015-07-15" @default.
- W1517187330 modified "2023-09-23" @default.
- W1517187330 title "Kondo Effect in Dirac Systems" @default.
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- W1517187330 doi "https://doi.org/10.7566/jpsj.84.074705" @default.
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