Kondo screening regimes in multi-Dirac and Weyl systems

Pedrosa, Gabriel Teófilo Dias; Silva, Joelson F.; Vernek, E.

doi:10.1103/physrevb.103.045137

Cited by 10 publications

(6 citation statements)

References 59 publications

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“…Such "relativistic" Kondo effects can occur in relativistic-fermion systems including impurities, such as graphene (see Ref. [6] for a review), Dirac/Weyl semimetals [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], dense nuclear matter [24][25][26][27], and dense quark matter [13,24,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. Among them, the QCD Kondo effect [24,28] is induced by the color exchange interaction between a light quark and an impurity quark, which is based on quantum chromodynamics (QCD).…”

Section: Introductionmentioning

confidence: 99%

Kondo effect with Wilson fermions

Ishikawa,

Nakayama,

Suzuki

2021

Preprint

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We investigate the Kondo effect with Wilson fermions. This is based on a mean-field approach for the chiral Gross-Neveu model including four-point interactions between a light Wilson fermion and a heavy fermion. For massless Wilson fermions, we demonstrate the appearance of the Kondo effect. We point out that there is a coexistence phase with both the light-fermion scalar condensate and Kondo condensate, and the critical chemical potentials of the scalar condensate are shifted by the Kondo effect. For negative-mass Wilson fermions, we find that the Kondo effect is favored near the parameter region realizing the Aoki phase. Our findings will be useful for understanding the roles of heavy impurities in Dirac semimetals, topological insulators, and lattice QCD simulations.

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Section: Introductionmentioning

confidence: 99%

Kondo effect with Wilson fermions

Ishikawa,

Nakayama,

Suzuki

2021

Preprint

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“…These developments and subsequent advances have converted the method into an apt instrument in the rapidly growing area of nano-device development [5]. Numerous examples constitute recent literature [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Real-space numerical renormalization-group computation of transport properties in the side-coupled geometry

Ferrari¹,

Oliveira²

2021

Preprint

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The equilibrium transport properties of an elementary nanostructured device with side-coupled geometry are computed and related to universal functions. The computation relies on a real-space formulation of the numerical renormalization-group (NRG) procedure. The real-space construction, dubbed eNRG, is more straightforward than the NRG discretization and allows more faithful description of the coupling between quantum dots and conduction states. The procedure is applied to an Anderson-model description of a quantum wire side-coupled to a single quantum dot. A gate potential controls the dot occupation. In the Kondo regime, the electrical conductance through this device is known to map linearly onto a universal function of the temperature scaled by the Kondo temperature. Here, the energy moments from which the Seebeck coefficient and the thermal conductance can be computed are shown to map linearly onto universal functions also. The moments and transport properties computed by the eNRG procedure are shown to agree very well with these analytical developments. Algorithms facilitating comparison with experimental results are discussed. As an illustration, one of the algorithms is applied to thermal dependence of the thermopower measured by Köhler [PhD Thesis, TUD, Dresden, 2007] in Lu 0.

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“…Introduction.-Multi-Weyl semimetals [1][2][3][4][5][6][7][8] are intriguing generalizations of standard Weyl semimetals [9][10][11][12][13][14][15][16][17][18][19], once they can lead to a plethora of fascinating effects, such as chiral, optical and transport anomalous properties [7-9, 11, 16-18, 20]. In multi-Weyl semimetals, the band-structures at the so-called Weyl crossing points, show highly anisotropic dispersion relations, being relativistic exclusively in one momentum direction, while in the other two, a power-law dependence is ruled by the topological charge J [19].…”

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confidence: 99%

“…As we consider the case of T T K → 0 (Kondo temperature) [38] and the system has a pseudogap at the Fermi level, Kondo correlations do not emerge [14] and consequently, the Coulomb blockade regime [37] takes place. The latter is characterized solely by the resonant states ε dσ and ε dσ + U , and the correlation U in GImp.σ , can be safely treated in the framework of the Hubbard-I approximation [7,8,37]:…”

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confidence: 99%

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Topological charge Fano effect in multi-Weyl semimetals

Silva,

Mizobata,

Sanches

et al. 2022

Preprint

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Kondo screening regimes in multi-Dirac and Weyl systems

Cited by 10 publications

References 59 publications

Kondo effect with Wilson fermions

Kondo effect with Wilson fermions

Real-space numerical renormalization-group computation of transport properties in the side-coupled geometry

Topological charge Fano effect in multi-Weyl semimetals

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