Hall number across a van Hove singularity

Maharaj, Akash V.; Esterlis, Ilya; Zhang, Yi; Ramshaw, B. J.; Kivelson, S. A.

doi:10.1103/PhysRevB.96.045132

Title: Hall number across a van Hove singularity

Abstract

In this paper, in the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number n_H of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal nonanalytic dependence of n_H on the electron density in the high-field limit, but a nonsingular dependence at low fields. Finally, the existence of an assumed nematic transition produces a doping dependent n_H similar to that observed in recent experiments in the high-temperature superconductor YBa₂Cu₃O_7-x.

Authors:

Maharaj, Akash V. ^[1]; Esterlis, Ilya ^[1]; Zhang, Yi ^[2]; Ramshaw, B. J. ^[3]; Kivelson, S. A. ^[1]

Stanford Univ., CA (United States). Dept. of Physics
Stanford Univ., CA (United States). Dept. of Physics; Cornell Univ., Ithaca, NY (United States). Dept. of Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Cornell Univ., Ithaca, NY (United States). Lab. of Atomic and Solid State Physics

Publication Date:: Mon Jul 24 00:00:00 EDT 2017

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Stanford Univ., CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

OSTI Identifier:: 1441317

Alternate Identifier(s):: OSTI ID: 1372542

Report Number(s):: LA-UR-17-30755
Journal ID: ISSN 2469-9950; TRN: US1900896

Grant/Contract Number:: AC52-06NA25396; DMR 1608055

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 96; Journal Issue: 4; 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; conductivity; Fermi surface; Hall effect; metals; quantum phase transitions; superconductivity

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.

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                    Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., & Kivelson, S. A. Hall number across a van Hove singularity.  United States.  https://doi.org/10.1103/PhysRevB.96.045132

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                    Maharaj, Akash V., Esterlis, Ilya, Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A. Mon .  
"Hall number across a van Hove singularity".  United States.  https://doi.org/10.1103/PhysRevB.96.045132.  https://www.osti.gov/servlets/purl/1441317.

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@article{osti_1441317,

  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 = {In this paper, in the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number nH of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal nonanalytic dependence of nH on the electron density in the high-field limit, but a nonsingular dependence at low fields. Finally, the existence of an assumed nematic transition produces a doping dependent nH similar to that observed in recent experiments in the high-temperature superconductor YBa2Cu3O7-x.},

  doi          = {10.1103/PhysRevB.96.045132},

  journal      = {Physical Review B},

  number       = 4,

  volume       = 96,

  place        = {United States},

  year         = {Mon Jul 24 00:00:00 EDT 2017},

  month        = {Mon Jul 24 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

Normal-state Hall effect and the insulating resistivity of high- $T_{c}$ cuprates at low temperatures
journal, October 1997

Ando, Yoichi; Boebinger, G. S.; Passner, A.
Physical Review B, Vol. 56, Issue 14
DOI: 10.1103/PhysRevB.56.R8530

Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high-Tc superconductor
journal, November 2008

Daou, R.; Doiron-Leyraud, Nicolas; LeBoeuf, David
Nature Physics, Vol. 5, Issue 1
DOI: 10.1038/nphys1109

Cold-spots and glassy nematicity in underdoped cuprates
journal, July 2016

Lee, Kyungmin; Kivelson, Steven A.; Kim, Eun-Ah
Physical Review B, Vol. 94, Issue 1
DOI: 10.1103/PhysRevB.94.014204

Magnetic Oscillations in Metals
book, October 2011

Shoenberg, D.
DOI: 10.1017/CBO9780511897870

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
DOI: 10.1038/nature16983

Strong Increase of Tc of Sr2RuO4 Under Both Tensile and Compressive Strain
journal, April 2014

Hicks, C. W.; Brodsky, D. O.; Yelland, E. A.
Science, Vol. 344, Issue 6181
DOI: 10.1126/science.1248292

Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor ${La}_{1.6 - x} {Nd}_{0.4} {Sr}_{x} {CuO}_{4}$
journal, June 2017

Collignon, C.; Badoux, S.; Afshar, S. A. A.
Physical Review B, Vol. 95, Issue 22
DOI: 10.1103/PhysRevB.95.224517

Quasilinear magnetoresistance in an almost two-dimensional band structure
journal, October 2000

Schofield, A. J.; Cooper, J. R.
Physical Review B, Vol. 62, Issue 16
DOI: 10.1103/PhysRevB.62.10779

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
DOI: 10.1103/PhysRevB.94.085129

Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014

Nie, L.; Tarjus, G.; Kivelson, S. A.
Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
DOI: 10.1073/pnas.1406019111

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
DOI: 10.1103/PhysRevB.43.193

Signature of optimal doping in Hall-effect measurements on a high-temperature superconductor
journal, August 2003

Balakirev, Fedor F.; Betts, Jonathan B.; Migliori, Albert
Nature, Vol. 424, Issue 6951
DOI: 10.1038/nature01890

Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- $T_{c}$ Cuprate Superconductors at Low Temperatures
journal, January 2009

Balakirev, F. F.; Betts, J. B.; Migliori, A.
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.017004

Fermi Surface Reconstruction and Drop in the Hall Number due to Spiral Antiferromagnetism in High- $T_{c}$ Cuprates
journal, October 2016

Eberlein, Andreas; Metzner, Walter; Sachdev, Subir
Physical Review Letters, Vol. 117, Issue 18
DOI: 10.1103/PhysRevLett.117.187001

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
journal, November 2016

Chatterjee, Shubhayu; Sachdev, Subir
Physical Review B, Vol. 94, Issue 20
DOI: 10.1103/PhysRevB.94.205117

Angle-dependent magnetoresistance of the layered organic superconductor $κ - (ET)_{2} Cu (NCS)_{2} :$ Simulation and experiment
journal, May 2004

Goddard, P. A.; Blundell, S. J.; Singleton, J.
Physical Review B, Vol. 69, Issue 17
DOI: 10.1103/PhysRevB.69.174509

Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors
journal, March 2002

Ando, Yoichi; Segawa, Kouji; Komiya, Seiki
Physical Review Letters, Vol. 88, Issue 13
DOI: 10.1103/PhysRevLett.88.137005

Hall effect and Fermi surface reconstruction via electron pockets in the high-T _c cuprates
journal, January 2016

Storey, J. G.
EPL (Europhysics Letters), Vol. 113, Issue 2
DOI: 10.1209/0295-5075/113/27003

Strong peak in T _c of Sr ₂ RuO ₄ under uniaxial pressure
journal, January 2017

Steppke, Alexander; Zhao, Lishan; Barber, Mark E.
Science, Vol. 355, Issue 6321
DOI: 10.1126/science.aaf9398

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
DOI: 10.1038/s41535-017-0013-z

Confinement transition to density wave order in metallic doped spin liquids
journal, April 2016

Patel, Aavishkar A.; Chowdhury, Debanjan; Allais, Andrea
Physical Review B, Vol. 93, Issue 16
DOI: 10.1103/PhysRevB.93.165139

Fermi-liquid behavior in an underdoped high- $T_{c}$ superconductor
journal, April 2010

Sebastian, Suchitra E.; Harrison, N.; Altarawneh, M. M.
Physical Review B, Vol. 81, Issue 14
DOI: 10.1103/PhysRevB.81.140505

Two types of nematicity in the phase diagram of the cuprate superconductor ${YBa}_{2} {Cu}_{3} O_{y}$
journal, December 2015

Cyr-Choinière, O.; Grissonnanche, G.; Badoux, S.
Physical Review B, Vol. 92, Issue 22
DOI: 10.1103/PhysRevB.92.224502

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
DOI: 10.1126/science.aaa4990

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
DOI: 10.1126/science.1152309

The Kinetic Formulation of Conduction Problems
journal, June 1952

Chambers, R. G.
Proceedings of the Physical Society. Section A, Vol. 65, Issue 6
DOI: 10.1088/0370-1298/65/6/114

Signatures of an electronic nematic phase at the isotropic-nematic phase transition
journal, December 2003

Kee, Hae-Young; Kim, Eugene H.; Chung, Chung-Hou
Physical Review B, Vol. 68, Issue 24
DOI: 10.1103/PhysRevB.68.245109

Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010

Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
Nature, Vol. 466, Issue 7304
DOI: 10.1038/nature09169

Sharp Signature of a $d_{x^{2} - y^{2}}$ Quantum Critical Point in the Hall Coefficient of Cuprate Superconductors
journal, December 2002

Chakravarty, Sudip; Nayak, Chetan; Tewari, Sumanta
Physical Review Letters, Vol. 89, Issue 27
DOI: 10.1103/PhysRevLett.89.277003

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
DOI: 10.1038/nature01981

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
journal, April 2017

Lederer, Samuel; Schattner, Yoni; Berg, Erez
Proceedings of the National Academy of Sciences, Vol. 114, Issue 19
DOI: 10.1073/pnas.1620651114

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

Shockley, W.
Physical Review, Vol. 79, Issue 1
DOI: 10.1103/PhysRev.79.191.2

Spin density wave order, topological order, and Fermi surface reconstruction
journal, September 2016

Sachdev, Subir; Berg, Erez; Chatterjee, Shubhayu
Physical Review B, Vol. 94, Issue 11
DOI: 10.1103/PhysRevB.94.115147

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Title: Hall number across a van Hove singularity

Abstract

Citation Formats

Normal-state Hall effect and the insulating resistivity of high- T c cuprates at low temperatures journal, October 1997

Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high-Tc superconductor journal, November 2008

Cold-spots and glassy nematicity in underdoped cuprates journal, July 2016

Magnetic Oscillations in Metals book, October 2011

Change of carrier density at the pseudogap critical point of a cuprate superconductor journal, February 2016

Strong Increase of Tc of Sr2RuO4 Under Both Tensile and Compressive Strain journal, April 2014

Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La 1.6 − x Nd 0.4 Sr x CuO 4 journal, June 2017

Quasilinear magnetoresistance in an almost two-dimensional band structure journal, October 2000

Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors journal, August 2016

Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates journal, May 2014

Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface journal, January 1991

Signature of optimal doping in Hall-effect measurements on a high-temperature superconductor journal, August 2003

Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- T c Cuprate Superconductors at Low Temperatures journal, January 2009

Fermi Surface Reconstruction and Drop in the Hall Number due to Spiral Antiferromagnetism in High- T c Cuprates journal, October 2016

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal journal, November 2016

Angle-dependent magnetoresistance of the layered organic superconductor κ − ( ET ) 2 Cu ( NCS ) 2 : Simulation and experiment journal, May 2004

Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors journal, March 2002

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Strong peak in T c of Sr 2 RuO 4 under uniaxial pressure journal, January 2017

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

Confinement transition to density wave order in metallic doped spin liquids journal, April 2016

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Two types of nematicity in the phase diagram of the cuprate superconductor YBa 2 Cu 3 O y journal, December 2015

Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor journal, March 2015

Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45 journal, January 2008

The Kinetic Formulation of Conduction Problems journal, June 1952

Signatures of an electronic nematic phase at the isotropic-nematic phase transition journal, December 2003

Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states journal, July 2010

Sharp Signature of a d x 2 − y 2 Quantum Critical Point in the Hall Coefficient of Cuprate Superconductors journal, December 2002

A coherent three-dimensional Fermi surface in a high-transition-temperature superconductor journal, October 2003

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point journal, April 2017

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

Spin density wave order, topological order, and Fermi surface reconstruction journal, September 2016

Normal-state Hall effect and the insulating resistivity of high- $T_{c}$ cuprates at low temperatures
journal, October 1997

Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high-Tc superconductor
journal, November 2008

Cold-spots and glassy nematicity in underdoped cuprates
journal, July 2016

Magnetic Oscillations in Metals
book, October 2011

Change of carrier density at the pseudogap critical point of a cuprate superconductor
journal, February 2016

Strong Increase of Tc of Sr2RuO4 Under Both Tensile and Compressive Strain
journal, April 2014

Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor ${La}_{1.6 - x} {Nd}_{0.4} {Sr}_{x} {CuO}_{4}$
journal, June 2017

Quasilinear magnetoresistance in an almost two-dimensional band structure
journal, October 2000

Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors
journal, August 2016

Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014

Geometric interpretation of the weak-field Hall conductivity in two-dimensional metals with arbitrary Fermi surface
journal, January 1991

Signature of optimal doping in Hall-effect measurements on a high-temperature superconductor
journal, August 2003

Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- $T_{c}$ Cuprate Superconductors at Low Temperatures
journal, January 2009

Fermi Surface Reconstruction and Drop in the Hall Number due to Spiral Antiferromagnetism in High- $T_{c}$ Cuprates
journal, October 2016

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journal, November 2016

Angle-dependent magnetoresistance of the layered organic superconductor $κ - (ET)_{2} Cu (NCS)_{2} :$ Simulation and experiment
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Hall effect and Fermi surface reconstruction via electron pockets in the high-T _c cuprates
journal, January 2016

Strong peak in T _c of Sr ₂ RuO ₄ under uniaxial pressure
journal, January 2017

Broken rotational symmetry on the Fermi surface of a high-Tc superconductor
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Confinement transition to density wave order in metallic doped spin liquids
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Fermi-liquid behavior in an underdoped high- $T_{c}$ superconductor
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Two types of nematicity in the phase diagram of the cuprate superconductor ${YBa}_{2} {Cu}_{3} O_{y}$
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Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
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Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008

The Kinetic Formulation of Conduction Problems
journal, June 1952

Signatures of an electronic nematic phase at the isotropic-nematic phase transition
journal, December 2003

Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010

Sharp Signature of a $d_{x^{2} - y^{2}}$ Quantum Critical Point in the Hall Coefficient of Cuprate Superconductors
journal, December 2002

A coherent three-dimensional Fermi surface in a high-transition-temperature superconductor
journal, October 2003

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
journal, April 2017

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

Spin density wave order, topological order, and Fermi surface reconstruction
journal, September 2016