skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”

Abstract

In this paper, we provide arguments relating to those recently made in a comment by Chakravarty and Wang, who question the validity of our proposed charge-density wave Fermi surface reconstruction model and its relation to sign changes in the Hall effect. First, we show that the form of rounding of the vertices (i.e. sharp corners) of the reconstructed electron pocket, as used in our model calculations of the Hall coefficient, is consistent with Bragg reflection from the periodic potential of a charge-density wave, rather than being arbitrarily chosen. Second, we provide further justifications for why an oscillatory transport scattering time provides a useful means for modeling Shubnikov–de Haas oscillations in the Hall effect, in the situation where a Fermi surface pocket departs from the ideal circular form. Third and finally, we discuss recent experimental evidence gathered from two different families of underdoped cuprates supporting the existence of a single electron pocket produced by biaxial charge-density wave order as a universal phenomena.

Authors:
 [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Cambridge (United Kingdom). Cavendish Lab.
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Cambridge (United Kingdom)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); Royal Society (United Kingdom); European Research Council (ERC)
OSTI Identifier:
1441316
Alternate Identifier(s):
OSTI ID: 1399166
Report Number(s):
LA-UR-17-30753
Journal ID: ISSN 2469-9950; TRN: US1900895
Grant/Contract Number:  
AC52-06NA25396; PHY-1066293; 337425
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Fermi surface; magnetotransport; cuprates; high-temperature superconductors

Citation Formats

Harrison, N., and Sebastian, S. E. Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.146502.
Harrison, N., & Sebastian, S. E. Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”. United States. doi:10.1103/PhysRevB.96.146502.
Harrison, N., and Sebastian, S. E. Thu . "Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”". United States. doi:10.1103/PhysRevB.96.146502. https://www.osti.gov/servlets/purl/1441316.
@article{osti_1441316,
title = {Reply to “Comment on ‘Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs' ”},
author = {Harrison, N. and Sebastian, S. E.},
abstractNote = {In this paper, we provide arguments relating to those recently made in a comment by Chakravarty and Wang, who question the validity of our proposed charge-density wave Fermi surface reconstruction model and its relation to sign changes in the Hall effect. First, we show that the form of rounding of the vertices (i.e. sharp corners) of the reconstructed electron pocket, as used in our model calculations of the Hall coefficient, is consistent with Bragg reflection from the periodic potential of a charge-density wave, rather than being arbitrarily chosen. Second, we provide further justifications for why an oscillatory transport scattering time provides a useful means for modeling Shubnikov–de Haas oscillations in the Hall effect, in the situation where a Fermi surface pocket departs from the ideal circular form. Third and finally, we discuss recent experimental evidence gathered from two different families of underdoped cuprates supporting the existence of a single electron pocket produced by biaxial charge-density wave order as a universal phenomena.},
doi = {10.1103/PhysRevB.96.146502},
journal = {Physical Review B},
number = 14,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: (a), Schematic diamond-shaped electron pocket from Ref. 1, with blue arrows indicating the direction of cyclotron motion and v1 and v2 indicating the Fermi velocity direction. (b), Schematic showing how the electron pocket is produced by connecting ‘arcs’ of a larger hole Fermi surface, with α being themore » angle subtended by the arc and the dotted lines indicating how they are connected.« less

Save / Share:

Works referenced in this record:

The Theory of the Change in Resistance in a Magnetic Field
journal, June 1934

  • Jones, H.; Zener, C.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 145, Issue 854
  • DOI: 10.1098/rspa.1934.0095

Fermi surface studies of quasi-two-dimensional η-Mo4O11
journal, March 2001


Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
journal, September 2014


Normal-state nodal electronic structure in underdoped high-Tc copper oxides
journal, June 2014

  • Sebastian, Suchitra E.; Harrison, N.; Balakirev, F. F.
  • Nature, Vol. 511, Issue 7507
  • DOI: 10.1038/nature13326

Protected Nodal Electron Pocket from Multiple- Q Ordering in Underdoped High Temperature Superconductors
journal, May 2011


Comment on “Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs”
journal, October 2017


Fermi-surface reconstruction in a smectic phase of a high-temperature superconductor
journal, July 2011


Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields
journal, November 2015


Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012


Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
journal, January 2015

  • Doiron-Leyraud, N.; Badoux, S.; René de Cotret, S.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7034

Longitudinal magnetoresistance in semiconductor superlattices
journal, February 1995


Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa 2 Cu 3 O 6 + δ
journal, March 2016


Field Induced Spin Density Waves
journal, December 1996


Single reconstructed Fermi surface pocket in an underdoped single-layer cuprate superconductor
journal, July 2016

  • Chan, M. K.; Harrison, N.; McDonald, R. D.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12244

Hall coefficient of a holelike Fermi surface
journal, August 1978


Broken rotational symmetry on the Fermi surface of a high-Tc superconductor
journal, February 2017


Heat capacity through the magnetic-field-induced resistive transition in an underdoped high-temperature superconductor
journal, February 2011

  • Riggs, Scott C.; Vafek, O.; Kemper, J. B.
  • Nature Physics, Vol. 7, Issue 4
  • DOI: 10.1038/nphys1921

Towards resolution of the Fermi surface in underdoped high- T c superconductors
journal, September 2012


Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs
journal, December 2015


The Kinetic Formulation of Conduction Problems
journal, June 1952


Anisotropy of the Seebeck Coefficient in the Cuprate Superconductor YBa 2 Cu 3 O y : Fermi-Surface Reconstruction by Bidirectional Charge Order
journal, September 2017


Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
journal, October 2012

  • Chang, J.; Blackburn, E.; Holmes, A. T.
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2456

Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates
journal, May 2016


Ong construction for the reconstructed Fermi surface of underdoped cuprates
journal, December 2015


Numerical model of quantum oscillations in quasi-two-dimensional organic metals in high magnetic fields
journal, October 1996


Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
journal, December 2014

  • Allais, Andrea; Chowdhury, Debanjan; Sachdev, Subir
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6771

Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
journal, November 2007

  • LeBoeuf, David; Doiron-Leyraud, Nicolas; Levallois, Julien
  • Nature, Vol. 450, Issue 7169
  • DOI: 10.1038/nature06332

Ca 3 Ru 2 O 7 : Density Wave Formation and Quantum Oscillations in the Hall Resistivity
journal, February 2010

  • Kikugawa, Naoki; Winfried Rost, Andreas; William Hicks, Clifford
  • Journal of the Physical Society of Japan, Vol. 79, Issue 2
  • DOI: 10.1143/JPSJ.79.024704

Fermi pockets and quantum oscillations of the Hall coefficient in high-temperature superconductors
journal, June 2008

  • Chakravarty, Sudip; Kee, Hae-Young
  • Proceedings of the National Academy of Sciences, Vol. 105, Issue 26
  • DOI: 10.1073/pnas.0804002105

Effect of Magnetic Fields on Conduction—"Tube Integrals"
journal, July 1950


Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates
journal, December 2007


    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.