Umklapp scattering as the origin of 
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-linear resistivity in the normal state of high-
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 cuprate superconductors

Rice, T. M.; Robinson, Neil J.; Tsvelik, A. M.

doi:10.1103/physrevb.96.220502

Cited by 25 publications

(27 citation statements)

References 73 publications

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“…Indeed, a similar behavior was predicted in Ref. 16 using qualitative arguments. As explained there, if the linear-in-temperature component is complemented with the contribution from the nodal Fermi liquid (not contained in our mapping), one obtains behaviour consistent with the resistivity observed in many cuprates, ρ(T ) ∝ T [exp(−α/T ) + β/T ] −1 .…”

Section: B Resultssupporting

confidence: 87%

“…Our results for the dc resistivity support the qualitative picture presented in Ref. 16: above the pseudogap the conductivity is increasingly dominated by the antinodal regions and the temperature dependence of the resistivity becomes approximately linear, which reflects the effective one dimensionality of the system.…”

Section: Discussionsupporting

confidence: 89%

“…The parameters of the phenomenological model in Ref. 16 were chosen such that the high temperature transport is dominated by contributions from the hot spots, which at these temperatures can be described as a Luttinger liquid. An essential characteristic of this quasi-1D liquid is that vertex corrections play an important role in the diagrammatic expansion, leading to a liquid that has excellent transport properties whilst having no coherent quasiparticles.…”

Section: Introductionmentioning

confidence: 99%

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Ladderlike optical conductivity in the spin-fermion model

2019

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In the nested limit of the spin-fermion model for the cuprates, one-dimensional physics in the form of half-filled two-leg ladders emerges. We show that the renormalization group flow of the corresponding ladder is towards the d-Mott phase, a gapped spin-liquid with short-ranged d-wave pairing correlations, and reveals an intermediate SO(5)×SO(3) symmetry. We use the results of the renormalization group in combination with a memory-function approach to calculate the optical conductivity of the spin-fermion model in the high-frequency regime, where processes within the hot spot region dominate the transport. We argue that umklapp processes play a major role. For finite temperatures, we determine the resistivity in the zero-frequency (dc) limit. Our results show an approximate linear temperature dependence of the resistivity and a conductivity that follows a non-universal power law. A comparison to experimental data supports our assumption that the conductivity is dominated by the antinodal contribution above the pseudogap.

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Section: B Resultssupporting

confidence: 87%

Section: Discussionsupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Ladderlike optical conductivity in the spin-fermion model

2019

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“…Such linear-T dependent resistivity has been also observed in high T c cuprates, pnictide and organic superconductor, ruthenate, heavy fermion metals etc. and has been very often linked to the quantum criticality [54][55][56][57][58] . Furthermore, the increase of tensile strain on DSO results in a higher resistivity at room temperature.…”

Section: Resultsmentioning

confidence: 99%

Epitaxial strain modulated electronic properties of interface controlled nickelate superlattices

et al. 2018

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Perovskite nickelate heterostructure consisting of single unit cell of EuNiO3 and LaNiO3 have been grown on a set of single crystalline substrates by pulsed laser interval deposition to investigate the effect of epitaxial strain on electronic and magnetic properties at the extreme interface limit. Despite the variation of substrate inplane lattice constants and lattice symmetry, the structural response to heterostructuring is primarily controlled by the presence of EuNiO3 layer. In sharp contrast to bulk LaNiO3 or EuNiO3, the superlattices grown under tensile strains exhibit metal to insulator transition (MIT) below room temperature. The onset of magnetic and electronic transitions associated with the MIT can be further separated by application of large tensile strain. Furthermore, these transitions can be entirely suppressed by very small compressive strain. X-ray resonant absorption spectroscopy measurements reveal that such strain-controlled MIT is directly linked to strain induced self-doping effect without any chemical doping. arXiv:1807.00449v1 [cond-mat.str-el] 2 Jul 2018 * smiddey@iisc.ac.in

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“…For completeness, we also note an approach to the pseudogap physics based upon quasi-onedimensional physics. 68,69 This can be considered a version of a FL* state because it has poles in the electron Green's function, along with neutral spin-1/2 excitations.…”

Section: Fl* Spectral Functionmentioning

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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Umklapp scattering as the origin of T -linear resistivity in the normal state of high- Tc cuprate superconductors

Cited by 25 publications

References 73 publications

Ladderlike optical conductivity in the spin-fermion model

Ladderlike optical conductivity in the spin-fermion model

Epitaxial strain modulated electronic properties of interface controlled nickelate superlattices

Gauge theory for the cuprates near optimal doping

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