Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model

Wang, Jiangfan; Yang, Y.

doi:10.48550/arxiv.2301.12330

Cited by 1 publication

(1 citation statement)

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“…the Hatsugai-Kohmoto (HK) model, [1][2][3] has been hotly studied. [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] In contrast with celebrated and more familiar Sachdev-Ye-Kitaev, Kitaev's toric code and honeycomb model with either quenched disorder or local Z 2 gauge symmetry, [22][23][24][25][26][27][28][29] the original HK model has translation invariance with topologically trivial nature, but surprisingly, it provides a strictly exact playground for non-Fermi liquid (NFL) and featureless Mott insulator in any spatial dimension, which is rare in statistical mechanics and condensed matter physics.…”

Section: Introductionmentioning

confidence: 99%

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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