Superconductivity from Luttinger surfaces: Emergent Sachdev-Ye-Kitaev physics with infinite-body interactions

Setty, Chandan

doi:10.1103/physrevb.103.014501

Cited by 16 publications

(4 citation statements)

References 56 publications

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“…The model has undergone a revival due to existence of Luttinger surfaces (LSs), contours of Green function zeros in momentum space. It was recently demonstrated that pairing instabilities on a LS and their corresponding fluctuation thermodynamics resemble that of the O(1) Sachdev-Ye-Kitaev free energy [35,36]. Following these results, Ref.…”

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confidence: 82%

Dilute magnetic moments in an exactly solvable interacting host

Setty

2021

Preprint

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Despite concerted efforts, the problem of dilute local moments embedded in a correlated conduction electron host such as Nd1−xCexCuO2 persists due to lack of analytically controllable models. Here, we address the question: how do local moments couple to correlated but integrable hosts? We describe the conduction electrons by the model of Hatsugai-Kohmoto (HK) which has undergone a recent resurgence arising from its exact solvability, existence of Luttinger surfaces, and connections to Sachdev-Ye-Kitaev (SYK) thermodynamics. We derive an exact low energy "Kondo-HK" Hamiltonian and show the existence of additional spin-exchange coupling that is relevant in the renormalization group (RG) sense. This term is ferromagnetic and does not vanish at low energies yielding an algebraic enhancement of the Kondo temperature. "Poor man's" scaling of couplings exhibits an exotic step-like RG flow between UV-IR fixed points attributed to severely restricted scattering phase space. This phenomenon is analogous to the flow of central charge in Zamolodchikov's diagonal resonance scattering in integrable quantum field theories.

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confidence: 82%

Dilute magnetic moments in an exactly solvable interacting host

Setty

2021

Preprint

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“…A more ambitious goal would be to include electron-electron correlation effects and understand their co-action with anharmonicity and superconductivity. While this might seem like a difficult endeavor, recent progress has been made [243][244][245] in obtaining exact solutions to the pairing problem in the presence of long range interactions. Therefore, gaining an intuitive understanding of the cooperation between anharmonic damping, strong correlations and superconductivity is a realistic possibility.…”

Section: Open Issuesmentioning

confidence: 99%

Anharmonic theory of superconductivity and its applications to emerging quantum materials

Setty,

Baggioli,

Zaccone

2024

J. Phys.: Condens. Matter

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The role of anharmonicity on superconductivity has often been disregarded in the past. Recently, it has been recognized that anharmonic decoherence could play a fundamental role in determining the superconducting properties (electron-phonon coupling, critical temperature, etc) of a large class of materials, including systems close to structural soft-mode instabilities, amorphous solids and metals under extreme high-pressure conditions.Here, we review recent theoretical progress on the role of anharmonic effects, and in particular certain universal properties of anharmonic damping, on superconductivity. Our focus regards the combination of microscopic-agnostic effective theories for bosonic mediators with the well-established BCS theory and Migdal-Eliashberg theory for superconductivity. We discuss in detail the theoretical frameworks, their possible implementation within first-principles methods, and the experimental probes for anharmonic decoherence. Finally, we present several concrete applications to emerging quantum materials, including hydrides, ferroelectrics and systems with charge density wave instabilities.

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“…Recently, an exactly solvable many-body fermionic model with an infinite-range interaction, i.e. 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 * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

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

Zhao,

Yang,

Luo

et al. 2023

J. Phys.: Condens. Matter

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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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Superconductivity from Luttinger surfaces: Emergent Sachdev-Ye-Kitaev physics with infinite-body interactions

Cited by 16 publications

References 56 publications

Dilute magnetic moments in an exactly solvable interacting host

Dilute magnetic moments in an exactly solvable interacting host

Anharmonic theory of superconductivity and its applications to emerging quantum materials

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

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