Overscreened Kondo effect, (color) superconductivity, and Shiba states in Dirac metals and quark matter

Kanazawa, Takuya; Uchino, Shun

doi:10.1103/physrevd.94.114005

Cited by 32 publications

(48 citation statements)

References 143 publications

(312 reference statements)

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“…The Kondo problem is an important issue in condensed matter physics and has been widely studied by using various methods [15][16][17][18][19][20][21][22][23] . The Kondo problem as well as the RKKY interactions in systems with isotropic Dirac cones have been studied intensively since the discoveries of graphene and topological insulators [24][25][26][27] . At half- * sunjinhua@nbu.edu.cn † donghuixu@hubu.edu.cn filling, the density of states (DOS) of the Dirac fermions vanishes, and the problem of a magnetic impurity in such systems falls into the category of pseudo-gap Kondo problem [28][29][30] .…”

Section: Topological Semimetalsmentioning

confidence: 99%

Single magnetic impurity in tilted Dirac surface states

Sun

Wang

et al. 2018

Phys. Rev. B

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We utilize variational method to investigate the Kondo screening of a spin-1/2 magnetic impurity in tilted Dirac surface states with the Dirac cone tilted along the ky-axis. We mainly study about the effect of the tilting term on the binding energy and the spin-spin correlation between magnetic impurity and conduction electrons. The binding energy has a critical value while the Dirac cone is slightly tilted. However, as the tilting term increases, the density of states near the Dirac node becomes significant, such that the impurity and the host material always favor a bound state. The diagonal and the off-diagonal terms of the spin-spin correlation between the magnetic impurity and conduction electrons are also studied. Due to the spin-orbit coupling and the tilting of the spectra, various components of spin-spin correlation show very strong anisotropy in coordinate space, and are of power-law decay with respect to the spatial displacements.

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Section: Topological Semimetalsmentioning

confidence: 99%

Single magnetic impurity in tilted Dirac surface states

Sun

Wang

et al. 2018

Phys. Rev. B

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“…We may also considerD s (cs),D * s (cs) mesons for charm-strange flavor and B s (bq), B * s (bq) mesons for bottom-strange flavor [7]. We further consider c,c quarks and b,b quarks in quark matter [4,6,[8][9][10][11][12]. The strong magnetic field can also induce the Kondo effect in quark matter [13].…”

Section: Application To Hadron Physics and Qcdmentioning

confidence: 99%

Kondo Effect in Dense Matter

Yasui

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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The Kondo effect is a phenomenon that indicates the enhancement of the electric resistance at low temperature in metal including impurity atoms with finite spins. This is caused by combination of three conditions: (i) existence of degenerate state (e.g. Fermi surface), (ii) quantum effect by loop integral and (ii) non-Abelian interaction between the itinerant light fermions (electrons) and the heavy impurity particle (atom). Interestingly, it has been pointed out that the Kondo effect can occur in nuclear matter as well as in quark matter, when heavy (charm and bottom) hadrons or quarks exist as impurity particles in the medium. The non-Abelian interaction is provided not only by spin-exchange interaction with SU(2) spin symmetry but also by isospin-exchange interaction with SU(2) isospin symmetry and by color-exchange interaction with SU(3) color symmetry. The Kondo effect in those systems is important because it can change the properties of the medium. The Kondo effect should be investigated in future experiments at accelerator facilities.

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“…Substituting Eqs. (18), (19) and (21) into Eq. (11), we find that Λ-dependence can be canceled when δ G satisfies…”

Section: B Renormalization Group Equation Up To Two-loop Approximationmentioning

confidence: 99%

Transport coefficients from the QCD Kondo effect

Yasui

Ozaki

2017

Phys. Rev. D

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We study the transport coefficients from the QCD Kondo effect in quark matter which contains heavy quarks as impurity particles. We estimate the coupling constant of the interaction between a light quark and a heavy quark at finite density and temperature by using the renormalization group equation up to two-loop order. We also estimate the coupling constant at zero temperature by using the mean-field approximation as non-perturbative treatment. To calculate the transport coefficients, we use the relativistic Boltzmann equation and apply the relaxation time approximation. We calculate the electric resistivity from the relativistic kinetic theory, and the viscosities from the relativistic hydrodynamics. We find that the electric resistivity is enhanced and the shear viscosity is suppressed due to the QCD Kondo effect at low temperature.

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Overscreened Kondo effect, (color) superconductivity, and Shiba states in Dirac metals and quark matter

Cited by 32 publications

References 143 publications

Single magnetic impurity in tilted Dirac surface states

Single magnetic impurity in tilted Dirac surface states

Kondo Effect in Dense Matter

Transport coefficients from the QCD Kondo effect

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