Screening cloud in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>-channel Kondo model: Perturbative and large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>results

Barzykin, Victor; Affleck, Ian

doi:10.1103/physrevb.57.432

Cited by 74 publications

(103 citation statements)

References 33 publications

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“…This is due to the fact that the screening of the spin involves conduction states far from the Fermi energy ǫ F , while ∆dI/dV selects states near ǫ F . These experiments seem unable to settle the still controversial issue of the Kondo cloud [37,38,39]. Instead, a crossover as a function of size is expected in mesoscopic rings [31,40].…”

Section: Summary and Discussionmentioning

confidence: 93%

One- and many-body effects on mirages in quantum corrals

Lobos

Aligia

2003

Phys. Rev. B

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Recent interesting experiments used scanning tunneling microscopy to study systems involving Kondo impurities in quantum corrals assembled on Cu or noble metal surfaces. The solution of the two-dimensional one-particle Schrödinger equation in a hard wall corral without impurity is useful to predict the conditions under which the Kondo effect can be projected to a remote location (the quantum mirage). To model a soft circular corral, we solve this equation under the potential W δ(r − r0), where r is the distance to the center of the corral and r0 its radius. We expand the Green's function of electron surface states G 0 s for r < r0 as a discrete sum of contributions from single poles at energies ǫi − iδi. The imaginary part δi is the half-width of the resonance produced by the soft confining potential, and turns out to be a simple increasing function of ǫi. In presence of an impurity, we solve the Anderson model at arbitrary temperatures using the resulting expression for G 0 s and perturbation theory up to second order in the Coulomb repulsion U . We calculate the resulting change in the differential conductance ∆dI/dV as a function of voltage and space, in circular and elliptical corrals, for different conditions, including those corresponding to recent experiments. The main features are reproduced. The role of the direct hybridization between impurity and bulk, the confinement potential, the size of the corral and temperature on the intensity of the mirage are analyzed. We also calculate spin-spin correlation functions.

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Section: Summary and Discussionmentioning

confidence: 93%

One- and many-body effects on mirages in quantum corrals

Lobos

Aligia

2003

Phys. Rev. B

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“…The spatial behavior of the impurity-bath spin-spin correlator has been explored earlier in Refs. [22,21,23] and more recently in Refs. [15,16].…”

Section: Introductionmentioning

confidence: 87%

Real-space structure of the impurity screening cloud in the resonant level model

Ghosh¹,

Ribeiro²,

Haque³

2014

J. Stat. Mech.

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Abstract.We present a detailed investigation of the impurity screening cloud in the Resonant Level Model. The screening is visible in the structure of impurity-bath correlators as a function of distance from the impurity. We characterize the screening cloud through scaling analyses of impurity-bath correlators and entanglement entropies. We devise and study several situations where the screening cloud is destroyed or modified: finite temperatures, energetic detuning of the impurity from the chemical potential, and the situation of an unconventional bath with diverging density of states.arXiv:1309.0027v2 [cond-mat.str-el]

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“…(30,31,32) are identical in structure to the usual NCA equations 80 , but the physics is changed by the constraint eq. (33) which keeps track of the choice of the impurity spin representation.…”

Section: E Pseudogap Kondo Model: Large-nmentioning

confidence: 99%

“…These equations correspond to the summation of all self-energy diagrams with non-crossing bath boson lines, and can be understood as the bosonic analogue of the fermionic NCA equations (30,31,32).…”

Section: A Bose Kondo Model: Rg Near S =mentioning

confidence: 99%

Impurity quantum phase transitions

Vojta

2006

Philosophical Magazine

171

227

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We review recent work on continuous quantum phase transitions in impurity models, both with fermionic and bosonic baths -these transitions are interesting realizations of boundary critical phenomena at zero temperature. The models with fermion bath are generalizations of the standard Kondo model, with the common feature that Kondo screening of the localized spin can be suppressed due to competing processes. The models with boson bath are related to the spin-boson model of dissipative two-level systems, where the interplay between tunneling and friction results in multiple phases. The competition inherent to all models can generate unstable fixed points associated with quantum phase transitions, where the impurity properties undergo qualitative changes. Interestingly, certain impurity transitions feature both lower-critical and upper-critical "dimensions" and allow for epsilon-type expansions. We present results for a number of observables, obtained by both analytical and numerical renormalization group techniques, and make connections to experiments.

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Screening cloud in thek-channel Kondo model: Perturbative and large-kresults

Cited by 74 publications

References 33 publications

One- and many-body effects on mirages in quantum corrals

One- and many-body effects on mirages in quantum corrals

Real-space structure of the impurity screening cloud in the resonant level model

Impurity quantum phase transitions

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