Eggert, Gustafsson, and Rommer Reply:

Eggert, Sebastian; Gustafsson, David; Rommer, Stefan

doi:10.1103/physrevlett.87.059702

Cited by 21 publications

(46 citation statements)

References 7 publications

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“…Such a model has been previously studied. 21 For S =1/2, the low temperature transport exhibits overscreened Kondo behavior:…”

Section: B Quantum Dot With Spin S Side Coupled To Two Sites Of a Llmentioning

confidence: 99%

“…15 The problem of a spin 1 / 2 magnetic impurity in a LL has also been largely studied. [16][17][18][19][20][21][22][23][24] It has been shown that while the ground state is a singlet state just like for the ordinary Kondo problem, the LL properties of the conduction electrons show up in the anomalous power law scaling for the Kondo temperature as well as the thermodynamics. An interesting question to ask is how underscreened Kondo physics manifests itself in a LL.…”

Section: Introductionmentioning

confidence: 99%

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Underscreened Kondo impurities in a Luttinger liquid

Durganandini

Simon

2006

Phys. Rev. B

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We study the problem of underscreened Kondo physics in an interacting electronic system modeled by a Luttiger Liquid (LL). We find that the leading temperature dependence of thermodynamical quantities like the specific heat, spin susceptibility are Fermi Liquid like in nature. However, anomalous power law exponents are seen in the subleading terms. We also discuss possible realizations through single and double quantum dot configurations coupled to LL leads and its consequences for electronic transport. The leading low temperature transport behavior is seen to exhibit in general, non Fermi liquid LL behavior unlike the thermodynamical quantities.Comment: 8 pages, 1 figure, final versio

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“…Such a model has been previously studied. 21 For S =1/2, the low temperature transport exhibits overscreened Kondo behavior:…”

Section: B Quantum Dot With Spin S Side Coupled To Two Sites Of a Llmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Underscreened Kondo impurities in a Luttinger liquid

Durganandini

Simon

2006

Phys. Rev. B

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“…7]. Depending upon the size of the impurity spin and its exchange coupling with the host spins several interesting scenarios, including multi-channel Kondo effect and non-fermi liquid behaviors are expected to arise 8,9 . In the specific case of an antiferromagnetically coupled spin-1 impurity, theory predicts a Kondo-singlet ground state where the impurity spin is Kondoscreened by the two neighboring spins of the chain, resulting in an open chain with three sites removed.…”

Section: Introductionmentioning

confidence: 99%

Impurities in the weakly coupled quantum spin chains Sr2CuO3 and SrCuO2

et al. 2017

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We study the effect of non-magnetic Zn 2+ (spin-0) and magnetic Ni 2+ (spin-1) impurities on the ground state and low-lying excitations of the quasi-one-dimensional spin-1/2 Heisenberg antiferromagnet Sr2CuO3 using inelastic neutron scattering, specific heat and bulk magnetization measurements. We show that 1 % Ni 2+ doping in Sr2CuO3 results in a sizable spin gap in the spinon excitations, analogous to the case of Ni doped SrCuO2 previously reported [ref. 1]. However, a similar level of Zn 2+ doping in SrCuO2, investigated here for comparison, did not reveal any signs of a spin gap. Magnetic ordering temperature was found to be suppressed in the presence of both Zn 2+ and Ni 2+ impurities, however, the rate of suppression due to Ni 2+ was found to be much more pronounced than for Zn 2+ . Effect of magnetic field on the ordering temperature is investigated. We found that with increasing magnetic field, not only the magnetic ordering temperature gradually increases but the size of specific heat anomaly associated with the magnetic ordering also progressively enhances, which can be qualitatively understood as due to the field induced suppression of quantum fluctuations.

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“…This method has been applied successfully to several interesting (quasi-)one dimensional systems. [11][12][13][14][15][16][17][18][19] In this work we describe in detail an extension of the transfer matrix DMRG method proposed in Ref. 10 to calculate imaginary time correlations.…”

Section: Introductionmentioning

confidence: 99%

Autocorrelations from the transfer-matrix density-matrix renormalization-group method

Naef¹,

Wang²,

Zotos³

et al. 1999

Phys. Rev. B

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Extending the transfer matrix DMRG algorithm, we are able to calculate imaginary time spin autocorrelations with high accuracy (absolute error < 10 −6 ) over a wide temperature range (0 < βJ < 20). After analytic continuation using the rules of probability theory along with the entropic prior (MaxEnt), we obtain real frequency spectra for the XY model, the isotropic Heisenberg and the gaped Heisenberg-Ising model. Available exact results in some limits allow for a critical evaluation of the quality of answers expected from this procedure. We find that high precision data are still insufficient for resolving specific lineshapes such as low frequency divergences. However, the method is appropriate for identifying low temperature gaps and peak positions.

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Eggert, Gustafsson, and Rommer Reply:

Cited by 21 publications

References 7 publications

Underscreened Kondo impurities in a Luttinger liquid

Underscreened Kondo impurities in a Luttinger liquid

Impurities in the weakly coupled quantum spin chains Sr2CuO3 and SrCuO2

Autocorrelations from the transfer-matrix density-matrix renormalization-group method

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