Anomalous Electronic Structure and Pseudogap Effects in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Nd</mml:mi></mml:mrow><mml:mrow><mml:mn>1.85</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Ce</mml:mi></mml:mrow><mml:mrow><mml:mn>0.15</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>CuO</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Armitage, N. P.; Lü, Donghui; Kim, C.; Damascelli, A.; Shen, Kyle; Ronning, F.; Feng, D. L.; Bogdanov, P. V.; Shen, Zhi‐Xun; Onose, Y.; Taguchi, Y.; Tokura, Y.; Mang, P. K.; Kaneko, Nobu‐Hisa; Greven, M.

doi:10.1103/physrevlett.87.147003

Cited by 187 publications

(128 citation statements)

References 18 publications

(13 reference statements)

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“…It is seen, that «destruction» of the Fermi surface starts in the vicinity of «hot spots» for small values of D, but almost immediately it disappears in the whole antinodal region of the Brillouin zone, while only «Fermi arcs» remain in the nodal region very close to the «bare» Fermi surface. These results give a natural explanation of the observed behavior and also of the fact that the existence of «hot spots» regions was observed only in some rare cases [22]. …”

Section: «Destruction» Of the Fermi Surfacesupporting

confidence: 58%

Pseudogaps: introducing the length scale into dynamical mean-field theory

Kuchinskiǐ

Некрасов

Sadovskiǐ

2006

Low Temperature Physics

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Pseudogap physics in strongly correlated systems is essentially scale dependent. We generalize the dynamical mean-field theory (DMFT) by introducing into the DMFT equations dependence on the correlation length of pseudogap fluctuations via an additional (momentum-dependent) self-energy S k . This self-energy describes nonlocal dynamical correlations induced by short-ranged collective SDW-like antiferromagnetic spin (or CDW-like charge) fluctuations. At high enough temperatures these fluctuations can be viewed as a quenched Gaussian random field with finite correlation length. This generalized DMFT + S k approach is used for the numerical solution of the weakly doped one-band Hubbard model with repulsive Coulomb interaction on a square lattice with nearest and next nearest neighbor hopping. The effective single impurity problem is solved by the numerical renormalization group (NRG). Both types of strongly correlated metals, namely (i) the doped Mott insulator and (ii) the case of bandwidth W U (U is the value of local Coulomb interaction) are considered. Densities of states, spectral functions and ARPES spectra calculated within DMFT + S k show a pseudogap formation near the Fermi level of the quasiparticle band. We also briefly discuss effects of random impurity scattering. Finally we demonstrate the qualitative picture of Fermi surface «destruction» due to pseudogap fluctuations and formation of «Fermi arcs» which agrees well with ARPES observations.

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Section: «Destruction» Of the Fermi Surfacesupporting

confidence: 58%

Pseudogaps: introducing the length scale into dynamical mean-field theory

Kuchinskiǐ

Некрасов

Sadovskiǐ

2006

Low Temperature Physics

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“…In other words, the Dirac fermion without the AF gap is never relevant to the underdoped cuprates. This is also consistent with the asymmetry of ARPES between holedoped [2] and electron-doped [34] cuprates. Recent experiments on NCCO [34] strongly suggest that the minima of the electron dispersion are at k = (π, 0) and (0, π), and the particle-hole symmetry is broken.…”

Section: Discussionsupporting

confidence: 88%

Particle-hole symmetry and transport properties of the flux state in underdoped cuprates

Onoda¹,

Nagaosa²

2002

Phys. Rev. B

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Transport properties, i.e., conductivities σµν, Hall constant RH , and thermopower S are studied for the flux state with the gauge flux φ per plaquett, which may model the underdoped cuprates, with the emphasis on the particle-hole and parity/chiral symmetries. This model is reduced to the Dirac fermions in (2+1)D with a mass gap introduced by the antiferromagnetic (AF) long range order and/or the stripe formation. Without the mass gap, the Hall constant RH and the thermopower S obey the two-parameter scaling laws,, with a being the lattice constant, x the hole concentration, τ the transport lifetime. The RH and S show the strong temperature dependence due to the recovery of the particle-hole symmetry at high temperature. The x-dependences of σxx(∝ √ x) and σxy (independent of x) are in a sharp contradiction with the experiments. Therefore there is no signature of the particle-hole symmetry or the massless Dirac fermions in the underdoped cuprates even above the Neel temperature TN . With the mass gap introduced by the AF order, there occurs the parity anomaly for each of the Dirac fermions. However the contributions from different valleys and spins cancel with each other to result in no spontaneous Hall effect even if the time-reversal symmetry is broken with φ = π. The effects of the stripes are also studied. The diagonal and vertical (horizontal) stripes have quite different influence on the transport properties. The suppression of RH occurs at low temperature only when (i) both the AF order and the vertical (horizontal) stripe coexist, and (ii) the average over the in-plane direction is taken. Discussions on the recent experiments are given from the viewpoint of these theoretical results.

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“…The seeming lack of observation, yet, of electron and hole pockets in other measurements in hole-doped superconductors, in particular in angle resolved photoemission spectroscopy that is also capable of measuring the Fermi surface, is an important puzzle; see, however, the work on electron-doped materials (39) where both electron and hole pockets are observed. Clearly, further experiments are necessary to settle these important issues more definitively, but our simple symmetry-breaking approach remains a serious challenge to alternative scenarios, which have to be consistent with all of the experimental facts, in particular the negative Hall coefficient, as well as the theoretical constraints of the Luttinger sum rule, known to be valid for a whole class of systems, including Mott insulators (40).…”

Section: Fermi Surface Reconstruction ͉ Hall Effectmentioning

confidence: 99%

Fermi pockets and quantum oscillations of the Hall coefficient in high-temperature superconductors

Chakravarty

2008

Proc. Natl. Acad. Sci. U.S.A.

115

114

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Recent quantum oscillation measurements in high-temperature superconductors in high magnetic fields and low temperatures have ushered in a new era. These experiments explore the normal state from which superconductivity arises and provide evidence of a reconstructed Fermi surface consisting of electron and hole pockets in a regime in which such a possibility was previously considered to be remote. More specifically, the Hall coefficient has been found to oscillate according to the Onsager quantization condition, involving only fundamental constants and the areas of the pockets, but with a sign that is negative. Here, we explain the observations with the theory that the alleged normal state exhibits a hidden order, the d-density wave, which breaks symmetries signifying time reversal, translation by a lattice spacing, and a rotation by an angle /2, while the product of any two symmetry operations is preserved. The success of our analysis underscores the importance of spontaneous breaking of symmetries, Fermi surface reconstruction, and conventional quasiparticles. We primarily focus on the version of the order that is commensurate with the underlying crystalline lattice, but we also touch on the consequences if the order were to incommensurate. It is shown that whereas commensurate order results in two independent oscillation frequencies as a function of the inverse of the applied magnetic field, incommensurate order leads to three independent frequencies. The oscillation amplitudes, however, are determined by the mobilities of the charge carriers comprising the Fermi pockets. Fermi surface reconstruction ͉ Hall effectA ny prospect of elucidating the mechanism of hightemperature superconductivity in cuprates is remote without answering some of the basic questions in clear terms. The most important of which is the notion of a Fermi surfacewhether or not it exists or is reconstructed because of a broken symmetry in the pseudogap state (1). An equally basic question is the extent to which a featureless spin liquid ground state, the resonating valence bond state (RVB), is important (2). In this respect, the recent experiments on quantum oscillations in high magnetic fields in high-quality samples of YBa 2 Cu 3 O y (Y123) and YBa 2 Cu 4 O 8 (Y124) have been striking (3-7).The quantum oscillations in the magnetization [de Haas-van Alphen effect (dHvA)], in the conductivity [Shubnikov-de Haas effect (SdH)], and in the Hall coefficient (R H ) have long been used to map out the Fermi surface and its topology in metals and semimetals (8). A Fermi surface differentiates the occupied electronic states from the unoccupied states in the momentum space and plays a fundamental role in quantum theory of matter. The highest occupied energy is an important parameter called the Fermi energy. The excitations from this surface determine the quasiparticles, which behave in many ways like bare particles, but their properties are modified by the collective interactions. An important notion is that a Fermi surface is a topological invarian...

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Anomalous Electronic Structure and Pseudogap Effects inNd1.85Ce0.15CuO4

Cited by 187 publications

References 18 publications

Pseudogaps: introducing the length scale into dynamical mean-field theory

Pseudogaps: introducing the length scale into dynamical mean-field theory

Particle-hole symmetry and transport properties of the flux state in underdoped cuprates

Fermi pockets and quantum oscillations of the Hall coefficient in high-temperature superconductors

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