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:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- 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); 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. https://doi.org/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. https://doi.org/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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journalFigures / Tables:
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 »
All figures and tables
(2 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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
Fermi surface studies of quasi-two-dimensional η-Mo4O11
journal, March 2001
- Goddard, P. A.; Klehé, A. -K.; Singleton, J.
- Synthetic Metals, Vol. 120, Issue 1-3
Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
journal, September 2014
- Maharaj, Akash V.; Hosur, Pavan; Raghu, S.
- Physical Review B, Vol. 90, Issue 12
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
Protected Nodal Electron Pocket from Multiple- Ordering in Underdoped High Temperature Superconductors
journal, May 2011
- Harrison, N.; Sebastian, S. E.
- Physical Review Letters, Vol. 106, Issue 22
Comment on “Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs”
journal, October 2017
- Chakravarty, Sudip; Wang, Zhiqiang
- Physical Review B, Vol. 96, Issue 14
Fermi-surface reconstruction in a smectic phase of a high-temperature superconductor
journal, July 2011
- Yao, Hong; Lee, Dung-Hai; Kivelson, Steven
- Physical Review B, Vol. 84, Issue 1
Near Doping-Independent Pocket Area from an Antinodal Fermi Surface Instability in Underdoped High Temperature Superconductors
journal, October 2011
- Harrison, N.
- Physical Review Letters, Vol. 107, Issue 18
Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields
journal, November 2015
- Gerber, S.; Jang, H.; Nojiri, H.
- Science, Vol. 350, Issue 6263
Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors
journal, August 2016
- Harrison, N.
- Physical Review B, Vol. 94, Issue 8
Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface
journal, January 1991
- Ong, N. P.
- Physical Review B, Vol. 43, Issue 1, p. 193-201
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x
journal, July 2012
- Ghiringhelli, G.; Le Tacon, M.; Minola, M.
- Science, Vol. 337, Issue 6096
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
Longitudinal magnetoresistance in semiconductor superlattices
journal, February 1995
- Datars, A. E.; Sipe, J. E.
- Physical Review B, Vol. 51, Issue 7
Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for
journal, March 2016
- Maharaj, Akash V.; Zhang, Yi; Ramshaw, B. J.
- Physical Review B, Vol. 93, Issue 9
Field Induced Spin Density Waves
journal, December 1996
- Chaikin, P. M.
- Journal de Physique I, Vol. 6, Issue 12
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
Hall coefficient of a holelike Fermi surface
journal, August 1978
- Banik, N. C.; Overhauser, A. W.
- Physical Review B, Vol. 18, Issue 4
Broken rotational symmetry on the Fermi surface of a high-Tc superconductor
journal, February 2017
- Ramshaw, B. J.; Harrison, N.; Sebastian, S. E.
- npj Quantum Materials, Vol. 2, Issue 1
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
Towards resolution of the Fermi surface in underdoped high- T c superconductors
journal, September 2012
- Sebastian, Suchitra E.; Harrison, Neil; Lonzarich, Gilbert G.
- Reports on Progress in Physics, Vol. 75, Issue 10
Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs
journal, December 2015
- Harrison, N.; Sebastian, S. E.
- Physical Review B, Vol. 92, Issue 22
The Kinetic Formulation of Conduction Problems
journal, June 1952
- Chambers, R. G.
- Proceedings of the Physical Society. Section A, Vol. 65, Issue 6
Anisotropy of the Seebeck Coefficient in the Cuprate Superconductor : Fermi-Surface Reconstruction by Bidirectional Charge Order
journal, September 2017
- Cyr-Choinière, O.; Badoux, S.; Grissonnanche, G.
- Physical Review X, Vol. 7, Issue 3
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
Quantum oscillation as diagnostics of pseudogap state in underdoped cuprates
journal, May 2016
- Zhang, Long; Mei, Jia-Wei
- EPL (Europhysics Letters), Vol. 114, Issue 4
Ong construction for the reconstructed Fermi surface of underdoped cuprates
journal, December 2015
- Robinson, P.; Hussey, N. E.
- Physical Review B, Vol. 92, Issue 22
Numerical model of quantum oscillations in quasi-two-dimensional organic metals in high magnetic fields
journal, October 1996
- Harrison, N.; Bogaerts, R.; Reinders, P. H. P.
- Physical Review B, Vol. 54, Issue 14
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
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
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
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
Effect of Magnetic Fields on Conduction—"Tube Integrals"
journal, July 1950
- Shockley, W.
- Physical Review, Vol. 79, Issue 1
Antiphase stripe order as the origin of electron pockets observed in 1/8-hole-doped cuprates
journal, December 2007
- Millis, Andrew J.; Norman, M. R.
- Physical Review B, Vol. 76, Issue 22
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.