Fine structure of the spectra of the Kondo lattice model: Two-site cellular dynamical mean-field theory study

Osolin, Žiga; Žitko, Rok

doi:10.1103/physrevb.95.035107

Cited by 4 publications

(2 citation statements)

References 41 publications

(45 reference statements)

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“…Cellular DMFT rewrites the lattice problem in terms of supercells 9,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]88 . The lattice-site index is replaced by a double index -index of the supercell and the index of the site within the supercell.…”

Section: Appendix C: Nested Cluster Schemementioning

confidence: 99%

Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods

et al. 2018

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The Luttinger-Ward functional (LWF) has been a starting point for conserving approximations in many-body physics for 50 years. The recent discoveries of its multivaluedness and the associated divergence of the two-particle irreducible vertex function Γ have revealed an inherent limitation of this approach. Here we demonstrate how these undesirable properties of the LWF can lead to a failure of computational methods based on an approximation of the LWF. We apply the Nested Cluster Scheme (NCS) to the Hubbard model and observe the existence of an additional stationary point of the self-consistent equations, associated with an unphysical branch of the LWF. In the strongly correlated regime, starting with the first divergence of Γ, this unphysical stationary point becomes attractive in the standard iterative technique used to solve DMFT. This leads to an incorrect solution, even in the large cluster size limit, for which we discuss diagnostics. arXiv:1709.10490v3 [cond-mat.str-el]

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Section: Appendix C: Nested Cluster Schemementioning

confidence: 99%

Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods

et al. 2018

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“…For a magnetic field applied along an arbitrary direction, Σ(0) (k, ω) has finite off-diagonal terms and we have to deal with a spin-mixing hybridization function [46,47]…”

Section: B Hybridization Functionmentioning

confidence: 99%

Anisotropic Kondo screening induced by spin-orbit coupling in quantum wires

Vernek,

Martins,

Zitko

2020

Preprint

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Using the numerical renormalization group (NRG) method we study a magnetic impurity coupled to a quantum wire with Rashba and Dresselhaus spin-orbit coupling (SOC) in an external magnetic field. We consider the low-filling regime with the Fermi energy close to the bottom of the band and report the results for local static and dynamic properties in the Kondo regime. In the absence of the field, local impurity properties remain isotropic in spin space despite the SOC-induced magnetic anisotropy of the conduction band. In the presence of the field, clear fingerprints of anisotropy are revealed through the strong field-direction dependence of the impurity spin polarization and spectra, in particular of the Kondo peak height. The detailed behavior depends on the relative magnitudes of the impurity and band g-factors. For the case of impurity g-factor somewhat lower than the band g-factor, the maximal Kondo peak supression is found for field oriented along the effective SOC field axis, while for a field perpendicular to this direction we observe a compensation effect ("revival of the Kondo peak"): the SOC counteracts the Kondo peak splitting effects of the local Zeeman field. We demonstrate that the SOC-induced anisotropy, measurable by tunneling spectroscopy techniques, can help to determine the ratio of Rashba and Dresselhaus SOC strengths in the wire.

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