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Title: Hall number across a van Hove singularity

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 4; Related Information: CHORUS Timestamp: 2017-09-18 14:13:53; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A.. Hall number across a van Hove singularity. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.045132.
Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., & Kivelson, S. A.. Hall number across a van Hove singularity. United States. doi:10.1103/PhysRevB.96.045132.
Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A.. 2017. "Hall number across a van Hove singularity". United States. doi:10.1103/PhysRevB.96.045132.
title = {Hall number across a van Hove singularity},
author = {Maharaj, Akash V. and Esterlis, Ilya and Zhang, Yi and Ramshaw, B. J. and Kivelson, S. A.},
abstractNote = {},
doi = {10.1103/PhysRevB.96.045132},
journal = {Physical Review B},
number = 4,
volume = 96,
place = {United States},
year = 2017,
month = 7

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 24, 2018
Publisher's Accepted Manuscript

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  • We characterize the nature of the Van Hove singularity near the Fermi energy ([ital E][sub [ital F]]) in YBa[sub 2]Cu[sub 4]O[sub 8] using ultrahigh energy resolution (10 meV) angle-resolved photoemission spectroscopy, together with corresponding first-principles spectra intensity computations. The singularity, related to CuO[sub 2] planes, is located about 19 meV below [ital E][sub [ital F]] at the [ital Y] point in the Brillouin zone and arises from a band which is nearly dispersionless along the [Gamma] to [ital Y] direction. Such an extended'' saddle point would render the band structure quasi-1D and yield a power law divergence in the densitymore » of states, allowing the occurrence of [ital T][sub [ital c]]'s of order 100 K even in a weak coupling BCS scheme.« less
  • We describe an ordering mechanism that arises due to coupling between electronic states at van Hove singularities. This novel mechanism, which naturally leads to ordered structures with small unit cells, couples states near the Fermi energy which are localized at high-symmetry points in {bold k} space, in contrast to the conventional mechanism which relies on large parallel sheets of Fermi surface. Using first-principles calculations of the electronic structure of ordered and disordered alloys, we show that this mechanism drives the unusual short- and long-range order found in fcc CuPt.
  • Recent theoretical and (photoemission) experimental results greatly strengthen the case for the saddle point van Hove singularity (vHs) playing an important role in the cuprate superconductors. The vHs signals a change in the topology of the Fermi surface - usually from electronlike to holelike orbits. Thus, near the vHs, there can be tunneling between the different Fermi surface sections. This orbital switching bears some resemblance to magnetic breakdown, but is a distinct phenomenon. In the presence of finite orbit switching, the electronic orbits can form a quantum coherent network.
  • The Fermi energy is shown to be pinned near a van Hove singularity for an extended doping range in the one-band and three-band Hubbard models as a consequence of filling dependent band renormalizations.
  • The interplanar coupling between the superconducting CuO{sub 2} planes in {ital R}Ba{sub 2}Cu{sub 3}O{sub 7{minus}{delta}} is controlled by changing the size of the rare earth and by changing the oxygen deficiency in the chains while keeping the hole concentration on the planes fixed at optimum doping by means of Ca substitution on the {ital R} site. The irreversibility field {ital H}{sub irr}({ital T}), thermopower, penetration depth from muon spin rotation, and the {ital c}-axis coherence length from fluctuation conductivity all indicate superconductivity extends onto the CuO{sub 1{minus}{delta}} chains by the proximity effect, giving an increased interlayer coupling equivalent to amore » halving of the interplanar distance. The insensitivity of {ital T}{sub {ital c}} to interlayer coupling and the absence of a peak in the density of states determined from Y NMR seriously erodes the van Hove singularity scenario for the high-{ital T}{sub {ital c}} cuprates. {copyright} {ital 1996 The American Physical Society.}« less