Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order

He, Junfeng; Rotundu, C. R.; Scheurer, Mathias S.; He, Yu; Hashimoto, M.; Xu, Kejun; Wang, Yao; Huang, Edwin W.; Jia, Tao; Chen, Sudi; Moritz, Brian; Lü, Donghui; Lee, Young S.; Devereaux, T. P.; Shen, Zhi‐Xun

doi:10.1073/pnas.1816121116

Cited by 47 publications

(36 citation statements)

References 34 publications

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“…Although the finite cluster size of CPT calculations precludes definitive assessment of long-range order, the correlation effects at heavy doping suggest a substantial impact of spin correlations. This agrees with the recent discovery of Fermi surface reconstruction outside the AFM phase in Nd 2−x Ce x CuO 4 16 . Here, the visibility of Mott features at higher doping (up to~40%) than the hole-doped side reflects more robust magnetic correlations in the electron-doped Hubbard model [84][85][86] .…”

Section: Resultssupporting

confidence: 93%

“…In doped Mott insulators, recent experimental and theoretical progress further extends Hubbard model's descriptiveness. On the experimental side, ARPES and resonant inelastic x-ray scattering (RIXS) have shown evidence of strong correlations [15][16][17][18] and collective spin excitations [19][20][21][22][23] far beyond the Mott phase, which cannot be addressed using weak-coupling theory. Despite such success, clearly, there are also experimental observations that seem to lie beyond the simple Hubbard and t − J models.…”

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confidence: 99%

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Emergence of quasiparticles in a doped Mott insulator

Wang

Wohlfeld

et al. 2020

Commun Phys

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How a Mott insulator develops into a weakly coupled metal upon doping is a central question to understanding various emergent correlated phenomena. To analyze this evolution and its connection to the high-Tc cuprates, we study the single-particle spectrum for the doped Hubbard model using cluster perturbation theory on superclusters. Starting from extremely low doping, we identify a heavily renormalized quasiparticle dispersion that immediately develops across the Fermi level, and a weakening polaronic side band at higher binding energy. The quasiparticle spectral weight roughly grows at twice the rate of doping in the low doping regime, but this rate is halved at optimal doping. In the heavily doped regime, we find both strong electron-hole asymmetry and a persistent presence of Mott spectral features. Finally, we discuss the applicability of the single-band Hubbard model to describe the evolution of nodal spectra measured by angle-resolved photoemission spectroscopy (ARPES) on the single-layer cuprate La2−xSrxCuO4 (0 ≤ x ≤ 0.15). This work benchmarks the predictive power of the Hubbard model for electronic properties of high-Tc cuprates.

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Section: Resultssupporting

confidence: 93%

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confidence: 99%

Emergence of quasiparticles in a doped Mott insulator

Wang

Wohlfeld

et al. 2020

Commun Phys

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“…We presented a simple physical argument in Section 7.2 showing how such topological order can reconstruct the Fermi surface even in the absence of translational symmetry breaking. Such a metallic state, with fluctuating SDW order leading to emergent gauge fields, is an attractive candidate for a theory of the pseudogap state of the cuprate superconductors [37], and we noted its connection to a variety of experiments [6,7,10,11,12] in Section 1. Recent theoretical work [42,43] has compared the metallic state with an emergent gapless U(1) photon, described in Section 7.3.1, to cluster dynamical mean field theory (DMFT) and quantum Monte Carlo studies of the lightly hole-doped Hubbard model appropriate for the cuprates.…”

Section: Conclusion and Extensionsmentioning

confidence: 97%

“…Evidence for Fermi surface reconstruction has recently appeared in photoemission experiments [6] on the electron-doped cuprate superconductor Nd 2−x Ce x CuO 4 , in a region of electron density without antiferromagnetic order. Given the theoretical arguments [3,4], this constitutes direct experimental evidence for the presence of topological order.…”

Section: Introductionmentioning

confidence: 99%

Topological order, emergent gauge fields, and Fermi surface reconstruction

Sachdev¹

2018

Rep. Prog. Phys.

221

201

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This review describes how topological order associated with the presence of emergent gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational symmetry breaking. We begin with an introduction to topological order using Wegner's quantum [Formula: see text] gauge theory on the square lattice: the topological state is characterized by the expulsion of defects, carrying [Formula: see text] magnetic flux. The interplay between topological order and the breaking of global symmetry is described by the non-zero temperature statistical mechanics of classical XY models in dimension D = 3; such models also describe the zero temperature quantum phases of bosons with short-range interactions on the square lattice at integer filling. The topological state is again characterized by the expulsion of certain defects, in a state with fluctuating symmetry-breaking order, along with the presence of emergent gauge fields. The phase diagrams of the [Formula: see text] gauge theory and the XY models are obtained by embedding them in U(1) gauge theories, and by studying their Higgs and confining phases. These ideas are then applied to the single-band Hubbard model on the square lattice. A SU(2) gauge theory describes the fluctuations of spin-density-wave order, and its phase diagram is presented by analogy to the XY models. We obtain a class of zero temperature metallic states with fluctuating spin-density wave order, topological order associated with defect expulsion, deconfined emergent gauge fields, reconstructed Fermi surfaces (with 'chargon' or electron-like quasiparticles), but no broken symmetry. We conclude with the application of such metallic states to the pseudogap phase of the cuprates, and note the recent comparison with numerical studies of the Hubbard model and photoemission observations of the electron-doped cuprates. In a detour, we also discuss the influence of Berry phases, and how they can lead to deconfined quantum critical points: this applies to bosons on the square lattice at half-integer filling, and to quantum dimer models.

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“…The preferred method of the spectrum computation remains that discussed in other recent papers, 28,29 which compared favorably with numerics on the Hubbard model, and with photoemission observations on the electron-doped cuprates. 91 These methods include a fractionalization of the electron into spinons and chargons at intermediate length scales in an algebraic charge liquid (ACL) regime (see Fig. 5).…”

Section: Electronic Spectrum Of the Pseudogapmentioning

confidence: 99%

Gauge theory for the cuprates near optimal doping

et al. 2019

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We describe the phase diagram of a 2+1 dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low energy fermionic excitations are gauge neutral and electron-like, while the spin density wave order is fractionalized into Higgs fields transforming as adjoints of the gauge SU(2). The confining phase of the gauge theory is a conventional Fermi liquid with a large Fermi surface (and its associated d-wave superconductor). There is a quantum phase transition to a Higgs phase describing the 'pseudogap' at lower doping. Depending upon the quartic terms in the Higgs potential, the Higgs phase exhibits one or more of charge density wave, Isingnematic, time-reversal odd scalar spin chirality, and Z 2 topological orders. It is notable that the emergent broken symmetries in our theory of fluctuating spin density waves coincide with those observed in diverse experiments. For the electron-doped cuprates, the spin density wave fluctuations are at wavevector (π, π), and then the corresponding SU(2) gauge theory only has a crossover between the confining and Higgs regimes, with an exponentially large confinement scale deep in the Higgs regime. On the Higgs side, for both the electron-and hole-doped cases, and at scales shorter than the confinement scale (which can be infinite when Z 2 topological order is present), the electron spectral function has a 'fractionalized Fermi liquid (FL*)' form with small Fermi surfaces. We also describe the deconfined quantum criticality of the Higgs transition in the limit of a large number of Higgs flavors, and perturbatively discuss its coupling to fermionic excitations.

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Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order

Cited by 47 publications

References 34 publications

Emergence of quasiparticles in a doped Mott insulator

Emergence of quasiparticles in a doped Mott insulator

Topological order, emergent gauge fields, and Fermi surface reconstruction

Gauge theory for the cuprates near optimal doping

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