Log-rise of the resistivity in the holographic Kondo model

Padhi, Bikash; Tiwari, Apoorv; Setty, Chandan; Phillips, Philip

doi:10.1103/physrevd.97.066012

Cited by 3 publications

(3 citation statements)

References 25 publications

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“…Suggestions include bilayer triangular and honeycomb models 21,[38][39][40] , and interactions which have SU(4) intra and inter-orbital symmetry. Studies starting from a continuum model 41 or considering other pairing mechanisms 42 have also appeared. The situation parallels that following the discovery of cuprate superconductivity, where single band (square lattice) models contended alongside three band (CuO 2 ) models, and both on-site U (spin fluctuation) and inter-band V (charge fluctuation) mechanisms were explored.…”

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confidence: 99%

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice

et al. 2018

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The pairing symmetry of the Hubbard Hamiltonian on a triangle lattice with a nearly-flat low energy band is studied with the determinant quantum Monte Carlo method. We show that the low temperature phase is insulating at half-filling, even for relatively weak interactions. The natures of the spin and pairing correlations upon doping are determined, and exhibit an electron-hole asymmetry. Among the pairing symmetries allowed, we demonstrate that the dominating channels are d-wave, opening the possibility of condensation into an unconventional d x 2 −y 2 + idxy phase, which is characterized by an integer topological invariant and gapless edge states. The results are closely related to the correlated insulating phase and unconventional superconductivity discovered recently in twisted bilayer graphene.

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Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice

et al. 2018

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“…Moreover, while in the previous work [29], the electrons were taken to be non-propagating away from the defect, the construction of the present paper allows to calculate electronic conductivities in the ambient CFT. Generalizations of the present model to finite temperature will in particular allow to evaluate the temperature dependence of the conductivity from a backreacted gravity solution, beyond probe-limit results presented in [78]. In particular, in the model presented here, we have full control of the boundary behaviour of the gauge field dual to the conserved current, both at and away from the interface.…”

Section: Discussionmentioning

confidence: 99%

Holographic RG flows for Kondo-like impurities

Erdmenger

Melby-Thompson

Northe

2020

J. High Energ. Phys.

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Boundary, defect, and interface RG flows, as exemplified by the famous Kondo model, play a significant role in the theory of quantum fields. We study in detail the holographic dual of a non-conformal supersymmetric impurity in the D1/D5 CFT. Its RG flow bears similarities to the Kondo model, although unlike the Kondo model the CFT is strongly coupled in the holographic regime. The interface we study preserves d = 1 N = 4 supersymmetry and flows to conformal fixed points in both the UV and IR. The interface's UV fixed point is described by d = 1 fermionic degrees of freedom, coupled to a gauge connection on the CFT target space that is induced by the ADHM construction. We briefly discuss its field-theoretic properties before shifting our focus to its holographic dual. We analyze the supergravity dual of this interface RG flow, first in the probe limit and then including gravitational backreaction. In the probe limit, the flow is realized by the puffing up of probe branes on an internal S 3 via the Myers effect. We further identify the backreacted supergravity configurations dual to the interface fixed points. These supergravity solutions provide a geometric realization of critical screening of the defect degrees of freedom. This critical screening arises in a way similar to the original Kondo model. We compute the g-factor both in the probe brane approximation and using backreacted supergravity solutions, and show that it decreases from the UV to the IR as required by the g-theorem.

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“…In addition to the standard saddle point approximation, in the large N limit, we can also apply another non-perturbative method, called the AdS/CFT correspondence, to the Kondo problem [35,36,37,38,39,40]. See also [41]. This would be also interesting since the QCD Kondo effect provides a possible realistic application of the AdS/CFT correspondence.…”

Section: Discussionmentioning

confidence: 99%

Conformal field theory analysis of the QCD Kondo effect

Kimura

Ozaki

2019

Phys. Rev. D

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We study non-perturbative aspects of QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal field theory describing the low energy physics near the IR fixed point. We clarify the symmetry class of QCD Kondo effect both for the finite density and magnetic field systems, and show how the IR fixed point is non-perturbatively characterized by the boundary condition, which incorporates the impurity effect in Kondo problem. We also obtain the low temperature behavior of several quantities of QCD Kondo effect in the vicinity of the IR fixed point based on the conformal field theory analysis. † Recently, a novel type of the Kondo effect induced by color degrees of freedom, so-called QCD Kondo effect, is proposed [1]. QCD Kondo effect is a Kondo effect realized in high density quark matter with a heavy quark impurity. It is well known that there are three important ingredients for the appearance of the Kondo effect: (i) Fermi surface, (ii) quantum fluctuations (loop effects), (iii) non-Abelian property of interaction. In the QCD Kondo effect, the last condition (iii) corresponds to the color exchange interaction mediated by gluon between a light quark near the Fermi surface and the heavy quark impurity. Near the Fermi surface, the system becomes effectively (1+1)-dimensional. This dimensional reduction plays an essential role for the appearance of the Kondo effect. As a later development of the QCD Kondo effect, one of the authors together with the others have proposed the magnetically induced QCD Kondo effect [2]. In strong magnetic field, the dimensional reduction to (1+1)dimensions also occurs. This (1+1)-dimensional dynamics gives rise to magnetically induced QCD Kondo effect.A lot of approaches to the non-perturbative regime of the Kondo effect have been developed, since the standard perturbative analysis does not work below the typical energy scale, due to the asymptotic freedom. The Conformal Field Theory (CFT) is one of such approaches to study the IR fixed point of the Kondo effect [3,4,5,6,7,8]. See also a review article [9]. In the CFT approach, the impurity effect is treated as the boundary condition. Thus we can discuss the non-trivial boundary behavior using the boundary CFT

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Log-rise of the resistivity in the holographic Kondo model

Cited by 3 publications

References 25 publications

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice

Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice

Holographic RG flows for Kondo-like impurities

Conformal field theory analysis of the QCD Kondo effect

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