Charge-Kondo effect in mesoscopic superconductors coupled to normal metals

Garate, Ion

doi:10.1103/physrevb.84.085121

Cited by 15 publications

(19 citation statements)

References 54 publications

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“…The differences in AGNR and QWR topologies in our paper and in Ref. [42], respectively prevents a detailed quantitative comparison.…”

Section: The Double Subband Approximationmentioning

confidence: 71%

“…Intending to compare our analytical results with those calculated numerically we refer to Ref. [42] in which the analogous quasi-1D structure, namely the QWR with radius R subject to an electric field polarized along the wire axis has been studied. The theoretical approach relied upon the Dirac equation relevant to the electron (hole) dispersion law E(k) = ±hv F (2R) −2 + k 2 (k is the longitudinal electron (hole) momentum) similar to that for an AGNR [31].…”

Section: The Double Subband Approximationmentioning

confidence: 99%

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Exciton absorption spectra in narrow armchair graphene nanoribbons in an electric field

Monozon

Schmelcher

2019

Phys. Rev. B

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We present an analytical investigation of the exciton optical absorption in a narrow armchair graphene nanoribbon (AGNR) in the presence of a longitudinal external electric field directed parallel to the ribbon axis. The two-body 2D Dirac equation for the massless electron and hole subject to the ribbon confinement, Coulomb interaction and electric field is employed. The ribbon confinement is assumed to be much stronger than the internal exciton electric field which in turn considerably exceeds the external electric field. This justifies an adiabatic approximation implying a slow longitudinal and fast transverse electron-hole relative motion governed by the exciton attraction and accompanied by the external electric field and ribbon confinement effects, respectively. In the single subband approximation of the isolated size-quantized subbands induced by the ribbon confinement the exciton electroabsorption coefficient is determined in an explicit form. The pronounced dependencies of the 1 arXiv:1812.06450v1 [cond-mat.mes-hall] 16 Dec 2018 exciton peak positions, widths and intensities on the ribbon width and electric field strength are traced. The electron-hole exciton attraction modifies remarkably the Franz-Keldysh electroabsorption in the frequency region both below and above the edges determined by the size-quantized energy levels. In the double-subband approximation of the interacting ground and first excited subbands the combined effect of the exciton electro-and autoionization caused by the electric field and intersubband coupling, respectively, are explored. Our analytical results are in agreement with those obtained by numerical methods. Estimates of the expected experimental values for the typically employed AGNR show that for a weak electric field the exciton quasi-discrete states remain sufficiently stable to be observed in optical experiments, while relatively strong fields free the captured carriers to further restore their contribution to the transport.

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“…The differences in AGNR and QWR topologies in our paper and in Ref. [42], respectively prevents a detailed quantitative comparison.…”

Section: The Double Subband Approximationmentioning

confidence: 71%

Section: The Double Subband Approximationmentioning

confidence: 99%

Exciton absorption spectra in narrow armchair graphene nanoribbons in an electric field

Monozon

Schmelcher

2019

Phys. Rev. B

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“…Attractive interactions between electrons, as opposed to the typical Coulomb repulsion, have arisen interest as a possible explanation for high Tc superconductivity, and have recently been induced in a controlled way in carbon nanotubes [15]. The attractive SU(2) or charge Kondo effect was analyzed before [16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Triple dot system coupled to topological insulators: A numerical renormalization group analysis of the SU(3) attractive Anderson model

Moca

Roman

Toderas

et al. 2017

AIP Conference Proceedings

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Abstract. We consider the SU(3) attractive Anderson model, which can be realized in a triple-dot system, coupled to external leads that support chiral edge modes, and study its spectral and transport properties using the renormalization group approach. At the symmetric point, where the average occupation is n = 3/2, a resonance develops in the spectral functions, which differs significantly from the regular Kondo effect, and corresponds to trionic processes between states with zero and triple occupation of the dot system.

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“…For large repulsive interactions, it displays the famous spin Kondo effect [28][29][30] for −U/2 ε U/2, and gives rise to mixed valence physics at ε ≈ ±U/2. For U < 0, on the other hand, a charge Kondo effect appears at around ε ≈ 0, where charge fluctuations between the statesQ = 0 and Q = 2 lead to the emergence of a Kondo resonance [31][32][33][34][35][36][37][38][39]. Apart from these interesting features, however, the SU(2) Anderson model displays regular behavior for any finite U and ε, and assumes a local Fermi liquid state with well-defined quasiparticles at low temperatures [40][41][42].…”

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confidence: 99%

Quantum Criticality and Formation of a Singular Fermi Liquid in the Attractive SU(N>2) Anderson Model

et al. 2019

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While much is known about repulsive quantum impurity models, significantly less attention has been devoted to their attractive counterparts. This motivated us to study the attractive SU(N ) Anderson impurity model. While for the repulsive case, the phase diagram features mild N dependence and the ground state is always a Fermi liquid, in the attractive case a Kosterlitz-Thouless charge localization phase transition is revealed for N > 2. Beyond a critical value of attractive interaction an abrupt jump appears in the number of particles at the impurity site, and a singular Fermi liquid state emerges, where the scattering of quasiparticles is found to exhibit power law behavior with fractional power. The capacity diverges exponentially at the quantum critical point, signaling the Kosterlitz-Thouless transition.

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Charge-Kondo effect in mesoscopic superconductors coupled to normal metals

Cited by 15 publications

References 54 publications

Exciton absorption spectra in narrow armchair graphene nanoribbons in an electric field

Exciton absorption spectra in narrow armchair graphene nanoribbons in an electric field

Triple dot system coupled to topological insulators: A numerical renormalization group analysis of the SU(3) attractive Anderson model

Quantum Criticality and Formation of a Singular Fermi Liquid in the Attractive SU(N>2) Anderson Model

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