Incommensurate nematic fluctuations in two-dimensional metals

Holder, Tobias; Metzner, Walter

doi:10.1103/physrevb.85.165130

Cited by 56 publications

(88 citation statements)

References 41 publications

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“…2) and S(q) ( fig. 3) are determined mainly by two factors: the so-called 2k F scattering processes [31] and the d-wave character of the bond order. The corresponding scattering processes are depicted in fig.…”

Section: Discussionmentioning

confidence: 99%

d -wave bond-order charge excitations in electron-doped cuprates

Yamase

Bejas

Greco

2015

EPL

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We study charge excitation spectra in the two-dimensional t-J model on a square lattice to explore a charge-order tendency recently found in electron-doped cuprates around the carrier density 0.15. The static susceptibility of dwave charge density, which corresponds to the nematic susceptibility at the momentum transfer q = (0, 0), shows two characteristic peaks at momenta of the form q1 = (q ′ , q ′ ) and q2 = (q, 0). These two peaks originate from the socalled 2kF scattering processes enhanced by the d-wave character of the bond-charge density. The peak at q1 is much broader, but develops to be very sharp in the vicinity of its instability, whereas the peak at q2 becomes sharper with decreasing temperature, but does not diverge. The equal-time correlation function, which is measured by resonant x-ray scattering, exhibits a momentum dependence similar to the static susceptibility. We also present energy-resolved charge excitation spectra. The spectra show a V-shaped structure around q = (0, 0) and bend back toward close to zero energy due to the charge-order tendency at q1 and q2. The resulting spectra form gap-like features with a maximal gap at q ≈ q1/2 and q2/2. We discuss implications for the recent experiments in electron-doped cuprates.

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Section: Discussionmentioning

confidence: 99%

d -wave bond-order charge excitations in electron-doped cuprates

Yamase

Bejas

Greco

2015

EPL

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“…The contribution of these points to interband part of the susceptibility at T = 0 can be calculated analogously to Refs. [4][5][6][7][8],…”

Section: The Antiferromagnetism Of Chromium and The Two-band Modelmentioning

confidence: 99%

“…The analysis of the susceptibility at finite temperatures in the considered case of cylindrical Kohn points (under the assumption that the band structure is not substantially changed with pressure or doping) predicts the critical exponents γ = ν = 1 of susceptibility and correlation length at the quantum phase transition point with weak logarithmic corrections, see Refs. [6,8].…”

Section: The Antiferromagnetism Of Chromium and The Two-band Modelmentioning

confidence: 99%

“…In particular, L. M. Roth with co-authors [3], and also T. M. Rice [4] have established that in one-band models the susceptibility has a local maximum at the wave vector Q if the Fermi surface near each of the Kohn points, separated by the vector Q, has opposite curvature in two perpendicular directions, or curvature in one of the directions is equal to zero. The latter condition, in particular, is fulfilled for two-dimensional Fermi surfaces; the case of circular Fermi surface was explicitly studied by Stern [5], later T. Holder and W. Metzner [6,7] have considered the effect of Kohn points for arbitrary two-dimensional Fermi surfaces, in particular they have investigated peculiarities of spin and charge susceptibilities, as well as self-energy of electrons.…”

Section: Introductionmentioning

confidence: 99%

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Kohn anomalies in momentum dependence of magnetic susceptibility of some three-dimensional systems

Stepanenko¹,

Volkova²,

Igoshev³

et al. 2017

J. Exp. Theor. Phys.

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We study a question of presence of Kohn points, yielding at low temperatures non-analytic momentum dependence of magnetic susceptibility near its maximum, in electronic spectum of some three-dimensional systems. In particular, we consider one-band model on face centered cubic lattice with hopping between nearest and next-nearest neighbors, which models some aspects of the dispersion of ZrZn2, and the two-band model on body centered cubic lattice, modeling the dispersion of chromium. For the former model it is shown that Kohn points yielding maxima of susceptibility exist in a certain (sufficiently wide) region of electronic concentrations; the dependence of the wave vectors, corresponding to the maxima, on the chemical potential is investigated. For the two-band model we show existence of the lines of Kohn points, yielding maximum of the susceptibility, which position agrees with the results of band structure calculations and experimental data on the wave vector of antiferromagnetism of chromium.

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“…2,[25][26][27][28][29][30][30][31][32][33][34][35] One line of reasoning starts with fermions interacting with antiferromagnetic spin fluctuations peaked at wave vector K (see Fig. 1).…”

Section: -24mentioning

confidence: 99%

Real-space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations

Bauer

Sachdev

2015

Phys. Rev. B

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We study charge ordered solutions for fermions on a square lattice interacting with dynamic antiferromagnetic fluctuations. Our approach is based on real space Eliashberg equations which are solved self-consistently. We first show that the antiferromagnetic fluctuations can induce arc features in the spectral functions, as spectral weight is suppressed at the hot spots; however, no real pseudogap is generated. At low temperature spontaneous charge order with a d-form factor can be stabilized for certain parameters. As long as the interacting Fermi surfaces possesses hot spots, the ordering wave vector corresponds to the diagonal connection of the hot spots, similar to the non-self-consistent case. Tendencies towards observed axial order only appear in situations without hot spots.

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Incommensurate nematic fluctuations in two-dimensional metals

Cited by 56 publications

References 41 publications

d -wave bond-order charge excitations in electron-doped cuprates

d -wave bond-order charge excitations in electron-doped cuprates

Kohn anomalies in momentum dependence of magnetic susceptibility of some three-dimensional systems

Real-space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations

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