Doped Kondo chain, a heavy Luttinger liquid

Khait, Ilia; Azaria, P.; Hubig, Claudius; Schollwöck, Ulrich; Auerbach, Assa

doi:10.1073/pnas.1719374115

Cited by 20 publications

(18 citation statements)

References 44 publications

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“…The large FS has been also found in the recent Density Matrix Renormalization Group study conducted away from 1/4, 3/4 and 1/2 fillings for the relatively large J K , Ref. [34]. The authors of this paper have reported existence of a heavy Tomonaga-Luttinger liquid (TLL) with gapless charge and spin excitations and (color on-line) The upper panel: a cartoon illustrating the weak and the moderate coupling regimes of the phase diagram obtained numerically for 1D KL in Ref.…”

Section: Introductionsupporting

confidence: 69%

Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal

Tsvelik

Yevtushenko

2019

Phys. Rev. B

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We study one-dimensional Kondo Lattices (KL) which consist of itinerant electrons interacting with Kondo impurities (KI) -localized quantum magnetic moments. We focus on KL with isotropic exchange interaction between electrons and KI and with a high KI density. The latter determines the principal róle of the indirect interaction between KI for the low energy physics. Namely, the Kondo physics becomes suppressed and all properties are governed by spin ordering. We present a first-ever comprehensive analytical theory of such KL at an arbitrary doping and predict a variety of regimes with different electronic phases. They range from commensurate insulators (at filling factors 1/2, 1/4 and 3/4) to metals with strongly interacting conduction electrons (close to these three special cases) to an exotic phase of a helical metal. The helical metals can provide a unique platform for realization of an emergent protection of ballistic transport in quantum wires. We compare out theory with previously obtained numerical results and discuss possible experiments where the theory could be tested.

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Section: Introductionsupporting

confidence: 69%

Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal

Tsvelik

Yevtushenko

2019

Phys. Rev. B

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“…If the effective repulsion is strong enough, TLL becomes heavy. Such TLL has been observed numerically in reference [65]. 1D nature makes repulsive CMs very sensitive to spinless impurities: even a weak disorder easily drives it to the localized regime with suppressed dc transport [70].…”

Section: Vicinity Of Special Commensurate Fillings Collinear Metal Amentioning

confidence: 63%

“…Detecting the CM is not difficult because it is generic at relatively large J K and filling away from 1/2, 1/4. The heavy TLL, which is formed by the interactions in the CM, has been observed in numerical results of reference [65]. However, J K was too large for finding the HM.…”

Section: Possible Numerical and Experimental Test Of Our Theorymentioning

confidence: 92%

“…(ii) If the global helicity is not really needed, which parameters must be tuned for detecting HM in the KLs (theoretically) and in the magnetically doped quantum wires (experimentally)? We note that numerical studies have never provided a reliable signature of the helical phase in the KLs [53,61,65].In this paper, we answer both questions: protection of the ballistic transport can be provided by the local helicity which, paradoxically, requires neither the global helicity nor breaking the spin-rotation symmetry. We show that such a novel HM is the 4k F charge-density-wave (CDW) phase [68] where all effects of disorder are parametrically suppressed.…”

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confidence: 88%

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confidence: 89%

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Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?

Tsvelik

Yevtushenko

2020

New J. Phys.

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We study the phase diagram and transport properties of arbitrarily doped quantum wires functionalized by magnetic adatoms. The appropriate theoretical model for these systems is a dense one-dimensional Kondo lattice (KL) which consists of itinerant electrons interacting with localized quantum magnetic moments. We discover the novel phase of the locally helical metal where transport is protected from a destructive influence of material imperfections. Paradoxically, such a protection emerges without a need of the global helicity, which is inherent in all previously studied helical systems and requires breaking the spin-rotation symmetry. We explain the physics of this protection of the new type, find conditions, under which it emerges, and discuss possible experimental tests. Our results pave the way to the straightforward realization of the protected ballistic transport in quantum wires made of various materials. © 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft New J. Phys. 22 (2020) 053013 A M Tsvelik and O M Yevtushenkohelix spin configuration which gaps out one helical sector of the electrons. The second helical sector remains gapless. In the resulting helical metal (HM), the disorder induced localization is parametrically suppressed and, therefore, the ballistic transport acquires a partial protection [66,67].All previous studies, including the TIs and the interacting helical systems, revealed protection of transport governed by the global helicity, i.e., helicity of the gapless electrons and/or the spiral spin configuration were uniquely defined in the entire sample. The global helicity always requires breaking the spin-rotation symmetry, either internally (e.g., due to the spin-orbit interaction, or the magnetic anisotropy) or spontaneously (e.g. in relatively short samples with a strong electrostatic interaction of the electrons). This certainly diminishes experimental capabilities to fabricate the helical states, especially those governed by the interactions: one always needs either specially selected materials or a nontrivial fine-tuning of physical parameters. For instance, the prediction of references [66,67] remains practically useless for the experiments because one can hardly control the magnetic anisotropy.Thus, further progress in obtaining the helical quantum wires, in particular by means of the magnetic doping, has been hampered by two open questions: (i) is the global helicity accompanied by breaking the spin-rotation symmetry really necessary to obtain HM? (ii) If the global helicity is not really needed, which parameters must be tuned for detecting HM in the KLs (theoretically) and in the magnetically doped quantum wires (experimentally)? We note that numerical studies have never provided a reliable signature of the helical phase in the KLs [53,61,65].In this paper, we answer both questions: protection of the ballistic transport can be provided by the local helicity which, paradoxically, requires neither the glo...

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Crossed Luttinger liquid hidden in a quasi-two-dimensional material

Kang

et al. 2022

Nat. Phys.

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Doped Kondo chain, a heavy Luttinger liquid

Cited by 20 publications

References 44 publications

Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal

Physics of arbitrarily doped Kondo lattices: From a commensurate insulator to a heavy Luttinger liquid and a protected helical metal

Transport in magnetically doped one-dimensional wires: can the helical protection emerge without the global helicity?

Crossed Luttinger liquid hidden in a quasi-two-dimensional material

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