Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors
Abstract
Here, we provide a potential solution to the longstanding problem relating Fermi surface reconstruction to the number of holes contained within the Fermi surface volume in underdoped high Tc superconductors. On considering uniaxial and biaxial charge-density wave order, we show that there exists a relationship between the ordering wave vector, the hole doping, and the cross-sectional area of the reconstructed Fermi surface whose precise form depends on the volume of the starting Fermi surface. We consider a “large” starting Fermi surface comprising 1+p hole carriers, as predicted by band structure calculations, and a “small” starting Fermi surface comprising p hole carriers, as proposed in models in which the Coulomb repulsion remains the dominant energy. Using the reconstructed Fermi surface cross-sectional area obtained in quantum oscillation experiments in YBa2Cu3O6+x and HgBa2CuO4+x and the established methods for estimating the chemical hole doping, we find the ordering vectors obtained from x-ray scattering measurements to show a close correspondence with those expected for the small starting Fermi surface. We therefore show the quantum oscillation frequency and charge-density wave vectors provide accurate estimates for the number of holes contributing to the Fermi surface volume in the pseudogap regime.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1414130
- Alternate Identifier(s):
- OSTI ID: 1297259
- Report Number(s):
- LA-UR-16-26474
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800655
- Grant/Contract Number:
- AC52-06NA25396; LANLF100
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 8; 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; High Magnetic Field Science
Citation Formats
Harrison, Neil. Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.94.085129.
Harrison, Neil. Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors. United States. https://doi.org/10.1103/PhysRevB.94.085129
Harrison, Neil. Tue .
"Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors". United States. https://doi.org/10.1103/PhysRevB.94.085129. https://www.osti.gov/servlets/purl/1414130.
@article{osti_1414130,
title = {Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors},
author = {Harrison, Neil},
abstractNote = {Here, we provide a potential solution to the longstanding problem relating Fermi surface reconstruction to the number of holes contained within the Fermi surface volume in underdoped high Tc superconductors. On considering uniaxial and biaxial charge-density wave order, we show that there exists a relationship between the ordering wave vector, the hole doping, and the cross-sectional area of the reconstructed Fermi surface whose precise form depends on the volume of the starting Fermi surface. We consider a “large” starting Fermi surface comprising 1+p hole carriers, as predicted by band structure calculations, and a “small” starting Fermi surface comprising p hole carriers, as proposed in models in which the Coulomb repulsion remains the dominant energy. Using the reconstructed Fermi surface cross-sectional area obtained in quantum oscillation experiments in YBa2Cu3O6+x and HgBa2CuO4+x and the established methods for estimating the chemical hole doping, we find the ordering vectors obtained from x-ray scattering measurements to show a close correspondence with those expected for the small starting Fermi surface. We therefore show the quantum oscillation frequency and charge-density wave vectors provide accurate estimates for the number of holes contributing to the Fermi surface volume in the pseudogap regime.},
doi = {10.1103/PhysRevB.94.085129},
journal = {Physical Review B},
number = 8,
volume = 94,
place = {United States},
year = {Tue Aug 16 00:00:00 EDT 2016},
month = {Tue Aug 16 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Quantum Oscillations from Nodal Bilayer Magnetic Breakdown in the Underdoped High Temperature Superconductor
journal, May 2012
- Sebastian, Suchitra E.; Harrison, N.; Liang, Ruixing
- Physical Review Letters, Vol. 108, Issue 19
X-Ray Diffraction Observations of a Charge-Density-Wave Order in Superconducting Ortho-II Single Crystals in Zero Magnetic Field
journal, March 2013
- Blackburn, E.; Chang, J.; Hücker, M.
- Physical Review Letters, Vol. 110, Issue 13
Hall, Seebeck, and Nernst Coefficients of Underdoped : Fermi-Surface Reconstruction in an Archetypal Cuprate Superconductor
journal, June 2013
- Doiron-Leyraud, Nicolas; Lepault, S.; Cyr-Choinière, O.
- Physical Review X, Vol. 3, Issue 2
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
Charge order in the pseudogap phase of cuprate superconductors
journal, January 2015
- Atkinson, W. A.; Kampf, A. P.; Bulut, S.
- New Journal of Physics, Vol. 17, Issue 1
Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
journal, May 2007
- Doiron-Leyraud, Nicolas; Proust, Cyril; LeBoeuf, David
- Nature, Vol. 447, Issue 7144
Fermi surface reconstruction and quantum oscillations in underdoped modeled in a single bilayer with mirror symmetry broken by charge density waves
journal, March 2016
- Briffa, A. K. R.; Blackburn, E.; Hayden, S. M.
- 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
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy
journal, September 2011
- Wu, Tao; Mayaffre, Hadrien; Krämer, Steffen
- Nature, Vol. 477, Issue 7363
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x
journal, May 2016
- Chang, J.; Blackburn, E.; Ivashko, O.
- Nature Communications, Vol. 7, Issue 1
Theory of low-temperature Hall effect in electron-doped cuprates
journal, December 2005
- Lin, Jie; Millis, A. J.
- Physical Review B, Vol. 72, Issue 21
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
Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
journal, March 2015
- Ramshaw, B. J.; Sebastian, S. E.; McDonald, R. D.
- Science, Vol. 348, Issue 6232
Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008
- Hinkov, V.; Haug, D.; Fauque, B.
- Science, Vol. 319, Issue 5863
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
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
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
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
Quantum Oscillations in the Underdoped Cuprate
journal, February 2008
- Yelland, E. A.; Singleton, J.; Mielke, C. H.
- Physical Review Letters, Vol. 100, Issue 4
Small Fermi Surface Pockets in Underdoped High Temperature Superconductors: Observation of Shubnikov–de Haas Oscillations in
journal, February 2008
- Bangura, A. F.; Fletcher, J. D.; Carrington, A.
- Physical Review Letters, Vol. 100, Issue 4
A phenomenological theory of the anomalous pseudogap phase in underdoped cuprates
journal, December 2011
- Rice, T. M.; Yang, Kai-Yu; Zhang, F. C.
- Reports on Progress in Physics, Vol. 75, Issue 1
Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor
journal, November 2006
- Abdel-Jawad, M.; Kennett, M. P.; Balicas, L.
- Nature Physics, Vol. 2, Issue 12
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
Change of carrier density at the pseudogap critical point of a cuprate superconductor
journal, February 2016
- Badoux, S.; Tabis, W.; Laliberté, F.
- Nature, Vol. 531, Issue 7593
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
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
The pseudogap in high-temperature superconductors: an experimental survey
journal, January 1999
- Timusk, Tom; Statt, Bryan
- Reports on Progress in Physics, Vol. 62, Issue 1
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+
journal, December 2013
- Comin, R.; Frano, A.; Yee, M. M.
- Science, Vol. 343, Issue 6169
Correlated electrons in high-temperature superconductors
journal, July 1994
- Dagotto, Elbio
- Reviews of Modern Physics, Vol. 66, Issue 3
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
Fermi surface reconstruction from bilayer charge ordering in the underdoped high temperature superconductor YBa 2 Cu 3 O 6+ x
journal, September 2012
- Harrison, N.; Sebastian, S. E.
- New Journal of Physics, Vol. 14, Issue 9
Evolution of the resonance and incommensurate spin fluctuations in superconducting
journal, January 2001
- Dai, Pengcheng; Mook, H. A.; Hunt, R. D.
- Physical Review B, Vol. 63, Issue 5
Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- Cuprate Superconductors at Low Temperatures
journal, January 2009
- Balakirev, F. F.; Betts, J. B.; Migliori, A.
- Physical Review Letters, Vol. 102, Issue 1
Evaluation of plane hole doping in single crystals
journal, May 2006
- Liang, Ruixing; Bonn, D. A.; Hardy, W. N.
- Physical Review B, Vol. 73, Issue 18
The microscopic structure of charge density waves in underdoped YBa2Cu3O6.54 revealed by X-ray diffraction
journal, December 2015
- Forgan, E. M.; Blackburn, E.; Holmes, A. T.
- Nature Communications, Vol. 6, Issue 1
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
In situ doping control of the surface of high-temperature superconductors
journal, June 2008
- Hossain, M. A.; Mottershead, J. D. F.; Fournier, D.
- Nature Physics, Vol. 4, Issue 7
Calorimetric determination of the magnetic phase diagram of underdoped ortho II YBa2Cu3O6.54 single crystals
journal, August 2015
- Marcenat, C.; Demuer, A.; Beauvois, K.
- Nature Communications, Vol. 6, Issue 1
Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006
- Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
- Reviews of Modern Physics, Vol. 78, Issue 1
Momentum-Dependent Charge Correlations in Superconductors Probed by Resonant X-Ray Scattering: Evidence for Three Competing Phases
journal, May 2013
- Blanco-Canosa, S.; Frano, A.; Loew, T.
- Physical Review Letters, Vol. 110, Issue 18
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
LDA energy bands, low-energy hamiltonians, t′, t″, t⊥ (k), and J⊥
journal, December 1995
- Andersen, O. K.; Liechtenstein, A. I.; Jepsen, O.
- Journal of Physics and Chemistry of Solids, Vol. 56, Issue 12
Hidden order in the cuprates
journal, January 2001
- Chakravarty, Sudip; Laughlin, R. B.; Morr, Dirk K.
- Physical Review B, Vol. 63, Issue 9
Charge order and its connection with Fermi-liquid charge transport in a pristine high-Tc cuprate
journal, December 2014
- Tabis, W.; Li, Y.; Tacon, M. Le
- Nature Communications, Vol. 5, Issue 1
Effective theory of Fermi pockets in fluctuating antiferromagnets
journal, March 2010
- Qi, Yang; Sachdev, Subir
- Physical Review B, Vol. 81, Issue 11
Intrinsic Hall response of the planes in a chain-plane composite system of
journal, March 2004
- Segawa, Kouji; Ando, Yoichi
- Physical Review B, Vol. 69, Issue 10
Universal quantum oscillations in the underdoped cuprate superconductors
journal, November 2013
- Barišić, Neven; Badoux, Sven; Chan, Mun K.
- Nature Physics, Vol. 9, Issue 12
Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy
journal, July 2008
- Wise, W. D.; Boyer, M. C.; Chatterjee, Kamalesh
- Nature Physics, Vol. 4, Issue 9
A coherent three-dimensional Fermi surface in a high-transition-temperature superconductor
journal, October 2003
- Hussey, N. E.; Abdel-Jawad, M.; Carrington, A.
- Nature, Vol. 425, Issue 6960
Quantum oscillations in an overdoped high-Tc superconductor
journal, October 2008
- Vignolle, B.; Carrington, A.; Cooper, R. A.
- Nature, Vol. 455, Issue 7215
Works referencing / citing this record:
Spin susceptibility of charge-ordered YBa 2 Cu 3 O y across the upper critical field
journal, November 2017
- Zhou, Rui; Hirata, Michihiro; Wu, Tao
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 50