Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis

Abanov, Ar.; Chubukov, Andrey V.; Schmalian, Joerg

doi:10.1080/0001873021000057123

Cited by 520 publications

(507 citation statements)

References 144 publications

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“…Rather, the results presented here indicate a strong coupling of the charge carriers to low-energy electronic excitations, e.g. spin excitations between regions near the antinodal points leading there to a marginal Fermi liquid behavior as described by [47,48]. Finally, we postulate that the present results can be generalized to all cuprates since in the p-doped compounds very similar ARPES results, e.g.…”

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confidence: 48%

High-Energy Anomaly in the Angle-Resolved Photoemission Spectra ofNd2−xCexCuO4:

et al. 2014

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We used polarization-dependent angle-resolved photoemission spectroscopy (ARPES) to study the high-energy anomaly (HEA) in the dispersion of Nd2−xCexCuO4, (x = 0.123). We have found that at particular photon energies the anomalous, waterfalllike dispersion gives way to a broad, continuous band. This suggests that the HEA is a matrix element effect: it arises due to a suppression of the intensity of the broadened quasi-particle band in a narrow momentum range. We confirm this interpretation experimentally, by showing that the HEA appears when the matrix element is suppressed deliberately by changing the light polarization. Calculations of the matrix element using atomic wave functions and simulation of the ARPES intensity with one-step model calculations provide further proof for this scenario. The possibility to detect the full quasi-particle dispersion further allows us to extract the high-energy self-energy function near the center and at the edge of the Brillouin zone. One of the unique assets of angle-resolved photoemission spectroscopy (ARPES) is the ability to determine the spectral function A(ω, k) in energy and momentum space. The finite width and deviation of the dispersion from that calculated in an independent particle model are interpreted in the majority of cases in terms of manybody effects [1]. In the cuprate high-T c superconductors, various kinks in the dispersion have been discovered which were analyzed in terms of a coupling of the charge carriers to bosonic excitations possibly mediating high-T c superconductivity in these materials. Besides the kinks in the low binding energy (E B ) region (E B ≤ 0.1 eV) at E B = E H 0.3 eV the band appears to bend sharply and seems to proceed almost vertically towards the valence bands. This phenomenon has been termed "waterfall" or high-energy anomaly (HEA) [2]. The HEA has been observed in undoped cuprates [3] as well as in their hole-doped [2, 4-13], and electron-doped derivatives [4,[13][14][15]. In the latter two systems E H shows a d-wave momentum dependence being larger along the nodal direction and smaller near the antinodal point opposite to the momentum dependence of the d-wave superconducting gap [6,12,14]. The values of E H exhibit a difference of ≈ 0.4 eV between hole doped and electron doped cuprates [4]. This difference was interpreted in terms of a shift of the chemical potential [14]. The experimental studies were accompanied by numerous theoretical papers [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].For the phenomenon of the HEA, a number of explanations have been suggested including Mott-Hubbard models with a transition from the coherent quasi-particle dispersion to the incoherent lower Hubbard band [5,18,21,26,32], a disintegration of the low-energy branch into a holon and spinon band due to a spin charge separation [2], a coupling to spin fluctuations [9,17,19,29,33], a coupling to phonons [7], string excitations of spinpolarons [32], a bifurcation of the quasi-particle band due to an excitation of a bosonic mode of ...

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confidence: 48%

High-Energy Anomaly in the Angle-Resolved Photoemission Spectra ofNd2−xCexCuO4:

et al. 2014

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“…The semiphenomenological model is often called the spin-fermion model [35]. Quite often, interaction mediated by spin fluctuations also critically affects single-fermion propagator (the Green's function), and this renormalization has to be included into the pairing problem.…”

Section: What To Do If the Bare Irreducible Vertex Is Repulsivementioning

confidence: 99%

“…Generally one way to proceed in this situation is to introduce the spin-fermion model with static magnetic fluctuations built into it, and then assume that within this model the interaction between low-energy fermionsḡ is smaller than W and do controlled low-energy analysis treatingḡ/W as a small parameter [35,127,128]. There are several ways to make the assumptionsḡ ≪ W and G ∼ W consistent with each other, e.g., if microscopic interaction has length Γ 0 and [137,138]).…”

Section: What To Do If the Bare Irreducible Vertex Is Repulsivementioning

confidence: 99%

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Superconductivity from repulsive interaction

Maiti¹,

Chubukov²

2014

Novel Superfluids

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Abstract. The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and super-conduct. We review recent and not so recent works aiming to understand whether a nominally repulsive Coulomb interaction can by itself give rise to a superconductivity. We first discuss a generic scenario of the pairing by electron-electron interaction, put forward by Kohn and Luttinger back in 1965, and then turn to modern studies of the electronic mechanism of superconductivity in the lattice models for the cuprates, the Fe-pnictides, and the doped graphene. We show that the pairing in all three classes of materials can be viewed as lattice version of Kohn-Luttinger physics, despite that the pairing symmetries are different. We discuss under what conditions the pairing occurs and rationalize the need to do parquet renormalization-group analysis. We also discuss the interplay between superconductivity and density-wave instabilities.

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“…A very recent experiment finds T N ¼ 600 K [17]. Such enhanced antiferromagnetic (AFM) coupling would open the way to new practical applications, but would also be quite interesting for scenarios of HTSs based on magnetic fluctuations [18]. Figure 1 gives an overview of the ARPES results on a thin film (6 unit cells) T-CuO sample.…”

mentioning

confidence: 99%

Angle-Resolved Photoemission Spectroscopy of Tetragonal CuO: Evidence for Intralayer Coupling Between Cupratelike Sublattices

Moser

Moreschini²,

Yang

et al. 2014

Phys. Rev. Lett.

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We investigate by angle-resolved photoemission the electronic structure of in situ grown tetragonal CuO, a synthetic quasi-two-dimensional edge-sharing cuprate. We show that, in spite of the very different nature of the copper oxide layers, with twice as many Cu in the CuO layers of tetragonal CuO as compared to the CuO 2 layers of the high-T c cuprates, the low-energy electronic excitations are surprisingly similar, with a Zhang-Rice singlet dispersing on weakly coupled cupratelike sublattices. This system should thus be considered as a member of the high-T c cuprate family, with, however, interesting differences due to the intralayer coupling between the cupratelike sublattices.

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Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis

Cited by 520 publications

References 144 publications

High-Energy Anomaly in the Angle-Resolved Photoemission Spectra ofNd2−xCexCuO4:

High-Energy Anomaly in the Angle-Resolved Photoemission Spectra ofNd2−xCexCuO4:

Superconductivity from repulsive interaction

Angle-Resolved Photoemission Spectroscopy of Tetragonal CuO: Evidence for Intralayer Coupling Between Cupratelike Sublattices

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