A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates

Rice, T. M.; Yang, Kaiyu; Zhang, F C

doi:10.1088/0034-4885/75/1/016502

Cited by 155 publications

(166 citation statements)

References 185 publications

(495 reference statements)

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“…On the square lattice, following the Gutzwiller projector point of view [85,86], this scenario has been pushed forward through a projected mean-field theory (the renormalized mean-field theory or Gutzwiller RVB theory) removing all components of the wavefunction with doubly occupied sites [87][88][89][90][91][92][93], "slave-particle" approaches [54,[94][95][96][97][98][99][100][101][102][103][104][105][106][107] and powerful numerical approaches [108][109][110][111][112][113][114][115][116][117][118]. We shall also mention some theoretical progess accomplished close to the Mott state [91,119,[121][122][123][124][125].…”

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confidence: 99%

Correlated Dirac particles and superconductivity on the honeycomb lattice

et al. 2013

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We investigate the properties of the nearest-neighbor singlet pairing and the emergence of dwave superconductivity in the doped honeycomb lattice considering the limit of large interactions and the t − J1 − J2 model. First, by applying a renormalized mean-field procedure as well as slave-boson theories which account for the proximity to the Mott insulating state, we confirm the emergence of d-wave superconductivity in agreement with earlier works. We show that a small but finite J2 spin coupling between next-nearest neighbors stabilizes d-wave symmetry compared to the extended s-wave scenario. At small hole doping, to minimize energy and to gap the whole Fermi surface or all the Dirac points, the superconducting ground state is characterized by a d + id singlet pairing assigned to one valley and a d − id singlet pairing to the other, which then preserves timereversal symmetry. The slightly doped situation is distinct from the heavily doped case (around 3/8 and 5/8 filling) supporting a pure chiral d + id symmetry and breaking time-reversal symmetry. Then, we apply the functional Renormalization Group and we study in more detail the competition between antiferromagnetism and superconductivity in the vicinity of half-filling. We discuss possible applications to strongly-correlated compounds with Copper hexagonal planes such as In3Cu2VO9. Our findings are also relevant to the understanding of exotic superfluidity with cold atoms.

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Section: Introductionmentioning

confidence: 99%

Correlated Dirac particles and superconductivity on the honeycomb lattice

et al. 2013

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“…2(a)). We have chosen this model because it successfully describes experimental data from a wide range of techniques [13][14][15]. While there exists angle-resolved photoemission spectroscopy (ARPES) data consistent with the shape of the YRZ hole pockets [16], direct evidence for the electron pockets is still lacking.…”

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Hall effect and Fermi surface reconstruction via electron pockets in the high-T _c cuprates

Storey¹

2016

EPL

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epl draftHall effect and Fermi surface reconstruction via electron pockets in the high-T c cuprates. F--Transport propertiesAbstract -The mechanism by which the Fermi surface of high-Tc cuprates undergoes a dramatic change from a large hole-like barrel to small arcs or pockets on entering the pseudogap phase remains a question of fundamental importance. Here we calculate the normal-state Hall coefficient from the resonating-valence-bond spin-liquid model developed by Yang, Rice and Zhang. In this model, reconstruction of the Fermi surface occurs via an intermediate regime where the Fermi surface consists of both hole-and electron-like pockets. We find that the doping (x) dependence of the Hall number transitions from 1+x to x over this narrow doping range. At low temperatures, a switch from a downturn to an upturn in the Hall coefficient signals the departure of the electronlike pockets from the Fermi surface.

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“…It is successful in describing a range of pseudogap phenomena in cuprates [28]. In order to calculate the DoS in magnetic fields we introduce the following two-band effective Hamiltonian [26],…”

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Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates

Zhang¹,

Mei²

2016

EPL

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-The Fermi surface in underdoped cuprates is reconstructed by the charge density wave (CDW) order in the pseudogap phase. Theoretical proposals can be divided into two classes: one assumes the underlying Fermi surface without CDW as a conventional large surface; the other assumes small hole-like Fermi pockets. In both scenarios, we theoretically study the quantum oscillation and find three evenly spaced peaks in the oscillation spectra. The central dominant peak is induced by the CDW order. Its effective mass is strongly enhanced as the CDW vanishes in agreement with experiments. But the two scenarios have different understandings of the subdominant satellite peaks. In the large-surface scenario they are induced by the interlayer tunneling between the bilayer CuO2 planes. Their effective masses are also enhanced with descreasing CDW. In the small-pocket scenario one of the subdominant peaks comes from the original small Fermi pockets of the pseudogap state. Its effective mass is nearly independent of the CDW strength and increases monotonically with the doping. We propose future quantum oscillation experiments to test these different predictions and thus to clarify the underlying Fermi surface structure of the pseudogap state.Introduction. -The nature of the pseudogap phase is the holy grail in the study of cuprate superconductors [1,2]. The observations of quantum oscillation (QO) and charge density wave (CDW) in the pseudogap phase in underdoped YBa 2 Cu 3 O 6+δ (YBCO) [3][4][5][6] and HgBa 2 CuO 4+δ (Hg1201) [7,8] brought much excitement in the community. Both QO and long-range CDW order show up in the same doping range 0.08 < x < 0.16 at low temperature when the superconductivity is suppressed in high magnetic fields [4,[9][10][11][12][13]. In the same regime the Hall and Seebeck coefficients change sign from positive to negative [14][15][16][17][18] showing that the d.c. charge transport is dominated by an electron-like Fermi pocket.

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A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates

Cited by 155 publications

References 185 publications

Correlated Dirac particles and superconductivity on the honeycomb lattice

Correlated Dirac particles and superconductivity on the honeycomb lattice

Hall effect and Fermi surface reconstruction via electron pockets in the high-T _c cuprates

Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates

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