Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems

Chatterjee, Banhi; Skolimowski, Jan; Makuch, Karol; Byczuk, Krzysztof

doi:10.1103/physrevb.100.115118

Cited by 7 publications

(5 citation statements)

References 91 publications

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“…We emphasize that this CDW is fundamentally different from Friedel oscillations (FO), where the amplitude decreases as distance from impurity increases. Secondly, as discovered by Chatterjee et al 39 . the amplitude of FO decreases as U increases, in contradiction to our observation in the Kondo superlattice.…”

Section: Discussionmentioning

confidence: 89%

The Mott to Kondo transition in diluted Kondo superlattices

et al. 2019

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In condensed matter, a tremendous effort has been generated to realise Kondo lattices both experimentally and theoretically. The pursuit of independent magnetic moments, via charge localization, is paramount for applications in nanotechnology. Particularly, systems with simultaneous charge/spin degrees of freedom can manifest both Kondo spin quenching and Mott-Hubbard charge localization. Experimental frameworks illuminating pathways between the two are physically and technologically significant, and hardly observed in reality. Recent developments in controlling densities/temperatures of strongly correlated impurities on surfaces has opened up new possibilities. Such systems introduce mechanisms to study Kondo/Mott-physics interplay methodically. However, the pathway between Kondo physics and charge localization remains elusive. In this work, we investigate the phase diagram of superlattice structures of f-elements on substrates, assessing required conditions for obtaining Kondo superlattices. We unveil pathways between Kondo quenching and Mott localization, and identify non-trivial charge density waves emerging from the competition of charge localization and Kondo physics.

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Section: Discussionmentioning

confidence: 89%

The Mott to Kondo transition in diluted Kondo superlattices

et al. 2019

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“…4) as what has usually been done in dynamic mean-field theory study or cuprate superconductor. [57][58][59] So, we find…”

Section: A T -Matrix Approximationmentioning

confidence: 91%

Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model

Zhao¹,

Luo²,

Yin³

2023

Preprint

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When non-magnetic impurity immerses in Fermi sea, a regular modulation of charge density around impurity will appear and such phenomena is called Friedel oscillation (FO). Although both Luttinger liquid and Landau Fermi liquid show such characteristic oscillation, FO in generic non-Fermi liquid (NFL) phase is still largely unknown. Here, we show that FO indeed exists in NFL state of an exactly solvable model, i.e. the Hatsugai-Kohmoto model which has been intensively explored in recent years. Combining T-matrix approximation and linear-response-theory, an interesting picture emerges, if two interaction-induced quasi-particles bands in NFL are partially occupied, FO in this situation is determined by a novel structure in momentum space, i.e. the 'average Fermi surface' (average over two quasi-particle Fermi surface), which highlights the inter-band particle-hole excitation. We hope our study here provides a counterintuitive example in which FO with Fermi surface coexists with NFL quasi-particle, and it may be useful to detect hidden 'average Fermi surface' structure in other correlated electron systems.

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“…Note here that, in a real-space system without lattice-translational symmetry, the self-energy is lattice-site dependent, i.e. Σ i,j = Σ i δ ij with δ ij being a Kronecker delta, which motivates us to utilize a realspace version of BDMFT [49][50][51].…”

Section: Methodsmentioning

confidence: 99%

Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices

Cao,

Han,

et al. 2022

Preprint

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Spin-orbit coupling plays an important role in understanding exotic quantum phases. In this work, we present a scheme to combine spin-orbital-angular-momentum (SOAM) coupling and strong correlations in ultracold atomic gases. Essential ingredients of this setting is the interplay of SOAM coupling and Raman-induced spin-flip hopping, engineered by lasers that couples different hyperfine spin states. In the presence of SOAM coupling only, we find rich quantum phases in the Mottinsulating regime, which support different types of spin textures such as spin vortex and nonrotating Mott core. Based on an effective exchange model, we find that these competing spin textures are a result of the interplay of Dzyaloshinskii-Moriya and Heisenberg exchange interactions. In the presence of both SOAM coupling and Raman-induced spin-flip hopping, more many-body phases appear, including canted-antiferromagnetic and stripe phases. Our prediction suggests that SOAM coupling could induce rich exotic many-body phases in the strongly interacting regime.

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Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems

Cited by 7 publications

References 91 publications

The Mott to Kondo transition in diluted Kondo superlattices

The Mott to Kondo transition in diluted Kondo superlattices

Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model

Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices

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