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Title: Emptying Dirac valleys in bismuth using high magnetic fields

Abstract

The Fermi surface of elemental bismuth consists of three small rotationally equivalent electron pockets, offering a valley degree of freedom to charge carriers. A relatively small magnetic field can confine electrons to their lowest Landau level. This is the quantum limit attained in other dilute metals upon application of sufficiently strong magnetic field. Here in this paper we report on the observation of another threshold magnetic field never encountered before in any other solid. Above this field, Bempty, one or two valleys become totally empty. Drying up a Fermi sea by magnetic field in the Brillouin zone leads to a manyfold enhancement in electric conductance. We trace the origin of the large drop in magnetoresistance across Bempty to transfer of carriers between valleys with highly anisotropic mobilities. The non-interacting picture of electrons with field-dependent mobility explains most results but the Coulomb interaction may play a role in shaping the fine details.

Authors:
 [1];  [2];  [2];  [3];  [4];  [5];  [6]
  1. Huazhong Univ. of Science and Technology, Wuhan (China). Wuhan National High Magnetic Field Center and School of Physics; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Huazhong Univ. of Science and Technology, Wuhan (China). Wuhan National High Magnetic Field Center and School of Physics
  3. Lab. of Physics and Study of Materials (LPEM, ESPCI), Paris (France); College de France, Paris (France)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Univ. of Electro-Communications, Chofu, Tokyo (Japan). Dept. of Engineering Science
  6. Huazhong Univ. of Science and Technology, Wuhan (China). Wuhan National High Magnetic Field Center and School of Physics; Lab. of Physics and Study of Materials (LPEM, ESPCI), Paris (France)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1361485
Report Number(s):
LA-UR-17-22096
Journal ID: ISSN 2041-1723
Grant/Contract Number:  
AC52-06NA25396; 11574097; 2016YFA0401704; 20120772; 16K05437; 15KK0155; 15H02108
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 8; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; High Magnetic Field Science; High Magnetic Fields Quantum-limit

Citation Formats

Zhu, Zengwei, Wang, Jinhua, Zuo, Huakun, Fauqué, Benoît, McDonald, Ross David, Fuseya, Yuki, and Behnia, Kamran. Emptying Dirac valleys in bismuth using high magnetic fields. United States: N. p., 2017. Web. doi:10.1038/ncomms15297.
Zhu, Zengwei, Wang, Jinhua, Zuo, Huakun, Fauqué, Benoît, McDonald, Ross David, Fuseya, Yuki, & Behnia, Kamran. Emptying Dirac valleys in bismuth using high magnetic fields. United States. https://doi.org/10.1038/ncomms15297
Zhu, Zengwei, Wang, Jinhua, Zuo, Huakun, Fauqué, Benoît, McDonald, Ross David, Fuseya, Yuki, and Behnia, Kamran. Fri . "Emptying Dirac valleys in bismuth using high magnetic fields". United States. https://doi.org/10.1038/ncomms15297. https://www.osti.gov/servlets/purl/1361485.
@article{osti_1361485,
title = {Emptying Dirac valleys in bismuth using high magnetic fields},
author = {Zhu, Zengwei and Wang, Jinhua and Zuo, Huakun and Fauqué, Benoît and McDonald, Ross David and Fuseya, Yuki and Behnia, Kamran},
abstractNote = {The Fermi surface of elemental bismuth consists of three small rotationally equivalent electron pockets, offering a valley degree of freedom to charge carriers. A relatively small magnetic field can confine electrons to their lowest Landau level. This is the quantum limit attained in other dilute metals upon application of sufficiently strong magnetic field. Here in this paper we report on the observation of another threshold magnetic field never encountered before in any other solid. Above this field, Bempty, one or two valleys become totally empty. Drying up a Fermi sea by magnetic field in the Brillouin zone leads to a manyfold enhancement in electric conductance. We trace the origin of the large drop in magnetoresistance across Bempty to transfer of carriers between valleys with highly anisotropic mobilities. The non-interacting picture of electrons with field-dependent mobility explains most results but the Coulomb interaction may play a role in shaping the fine details.},
doi = {10.1038/ncomms15297},
journal = {Nature Communications},
number = ,
volume = 8,
place = {United States},
year = {Fri May 19 00:00:00 EDT 2017},
month = {Fri May 19 00:00:00 EDT 2017}
}

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Works referenced in this record:

Magnetoconductivity tensor for semimetals
journal, July 1971


Magnetoresistance Study of Bi and Bi–Sb Alloys in High Magnetic Fields. II. Landau Levels and Semimetal-Semiconductor Transition
journal, June 1983

  • Hiruma, Kenji; Miura, Noboru
  • Journal of the Physical Society of Japan, Vol. 52, Issue 6
  • DOI: 10.1143/JPSJ.52.2118

Landau spectrum and twin boundaries of bismuth in the extreme quantum limit
journal, August 2012

  • Zhu, Z.; Fauque, B.; Malone, L.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 37
  • DOI: 10.1073/pnas.1209197109

Semiconducting and other major properties of gallium arsenide
journal, October 1982

  • Blakemore, J. S.
  • Journal of Applied Physics, Vol. 53, Issue 10
  • DOI: 10.1063/1.331665

Possible States for a Three-Dimensional Electron Gas in a Strong Magnetic Field
journal, January 1987


Valley filter and valley valve in graphene
journal, February 2007

  • Rycerz, A.; Tworzydło, J.; Beenakker, C. W. J.
  • Nature Physics, Vol. 3, Issue 3, p. 172-175
  • DOI: 10.1038/nphys547

Valley Zeeman Splitting and Valley Polarization of Neutral and Charged Excitons in Monolayer MoTe 2 at High Magnetic Fields
journal, May 2016


Spin and pseudospins in layered transition metal dichalcogenides
journal, April 2014

  • Xu, Xiaodong; Yao, Wang; Xiao, Di
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2942

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
journal, January 2015

  • Fuseya, Yuki; Ogata, Masao; Fukuyama, Hidetoshi
  • Journal of the Physical Society of Japan, Vol. 84, Issue 1
  • DOI: 10.7566/JPSJ.84.012001

Large linear magnetoresistance in the Dirac semimetal TlBiSSe
journal, January 2015


Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal candidate NbP
journal, June 2015

  • Shekhar, Chandra; Nayak, Ajaya K.; Sun, Yan
  • Nature Physics, Vol. 11, Issue 8
  • DOI: 10.1038/nphys3372

Parallel magnetic-field tuning of valley splitting in AlAs two-dimensional electrons
journal, December 2008


A high-magnetic-field-induced density-wave state in graphite
journal, July 2009


Two Phase Transitions Induced by a Magnetic Field in Graphite
journal, June 2013


Origin of the Large Anisotropic g Factor of Holes in Bismuth
journal, November 2015


Thermodynamic evidence for valley-dependent density of states in bulk bismuth
journal, March 2014

  • Küchler, R.; Steinke, L.; Daou, R.
  • Nature Materials, Vol. 13, Issue 5
  • DOI: 10.1038/nmat3909

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
journal, November 2014

  • Liang, Tian; Gibson, Quinn; Ali, Mazhar N.
  • Nature Materials, Vol. 14, Issue 3
  • DOI: 10.1038/nmat4143

Generation, transport and detection of valley-polarized electrons in diamond
journal, July 2013

  • Isberg, Jan; Gabrysch, Markus; Hammersberg, Johan
  • Nature Materials, Vol. 12, Issue 8
  • DOI: 10.1038/nmat3694

Field-induced polarization of Dirac valleys in bismuth
journal, October 2011

  • Zhu, Zengwei; Collaudin, Aurélie; Fauqué, Benoît
  • Nature Physics, Vol. 8, Issue 1
  • DOI: 10.1038/nphys2111

Temperature Dependence of the Low-Field Galvanomagnetic Coefficients of Bismuth
journal, May 1969


Two-dimensional electrons occupying multiple valleys in AlAs
journal, November 2006

  • Shayegan, M.; De Poortere, E. P.; Gunawan, O.
  • physica status solidi (b), Vol. 243, Issue 14
  • DOI: 10.1002/pssb.200642212

Microwave oscillations of current in III-V semiconductors
journal, December 1993


Valley polarization assisted spin polarization in two dimensions
journal, June 2015

  • Renard, V. T.; Piot, B. A.; Waintal, X.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8230

Possible Anomalies at a Semimetal-Semiconductor Transistion
journal, October 1968


Large, non-saturating magnetoresistance in WTe2
journal, September 2014

  • Ali, Mazhar N.; Xiong, Jun; Flynn, Steven
  • Nature, Vol. 514, Issue 7521
  • DOI: 10.1038/nature13763

Microwave oscillations of current in III–V semiconductors
journal, September 1963


Large, non-saturating magnetoresistance in WTe2
journal, September 2014

  • Ali, Mazhar N.; Xiong, Jun; Flynn, Steven
  • Nature, Vol. 514, Issue 7521
  • DOI: 10.1038/nature13763

Valley polarization assisted spin polarization in two dimensions
journal, June 2015

  • Renard, V. T.; Piot, B. A.; Waintal, X.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8230

Generation, transport and detection of valley-polarized electrons in diamond
journal, July 2013

  • Isberg, Jan; Gabrysch, Markus; Hammersberg, Johan
  • Nature Materials, Vol. 12, Issue 8
  • DOI: 10.1038/nmat3694

Thermodynamic evidence for valley-dependent density of states in bulk bismuth
journal, March 2014

  • Küchler, R.; Steinke, L.; Daou, R.
  • Nature Materials, Vol. 13, Issue 5
  • DOI: 10.1038/nmat3909

Landau spectrum and twin boundaries of bismuth in the extreme quantum limit
journal, August 2012

  • Zhu, Z.; Fauque, B.; Malone, L.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 37
  • DOI: 10.1073/pnas.1209197109

A high-magnetic-field-induced density-wave state in graphite
journal, July 2009


Quantum magnetoresistance
journal, August 1998


Angle-resolved Landau spectrum of electrons and holes in bismuth
journal, September 2011


Linear magnetoresistance in metals: Guiding center diffusion in a smooth random potential
journal, November 2015


Valley-Polarized Interlayer Conduction of Anisotropic Dirac Fermions in SrMnBi 2
journal, October 2014


Observation of negatively charged excitons X in semiconductor quantum wells
journal, September 1993


Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
journal, December 2007


Angle Dependence of the Orbital Magnetoresistance in Bismuth
journal, June 2015


Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd$_3$As$_2$
text, January 2014


Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
text, January 2014


Origin of the large anisotropic g-factor of holes in bismuth
text, January 2015


Two-dimensional electrons occupying multiple valleys in AlAs
text, January 2006


Works referencing / citing this record:

Thermodynamic evidence of magnetic-field-induced complete valley polarization in bismuth
journal, February 2019


Magnetoresistance and valley degree of freedom in bulk bismuth
journal, July 2018

  • Zhu, Zengwei; Fauqué, Benoît; Behnia, Kamran
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 31
  • DOI: 10.1088/1361-648x/aaced7

Corrections to the magnetoresistance formula for semimetals with Dirac electrons: the Boltzmann equation approach validated by the Kubo formula
journal, October 2018

  • Owada, Mitsuaki; Awashima, Yudai; Fuseya, Yuki
  • Journal of Physics: Condensed Matter, Vol. 30, Issue 44
  • DOI: 10.1088/1361-648x/aae03c

Terahertz Faraday and Kerr rotation spectroscopy of Bi 1 x Sb x films in high magnetic fields up to 30 tesla
journal, September 2019


Ground-state atlas of a three-dimensional semimetal in the quantum limit
journal, October 2019


Metallic state in a strongly interacting spinless two-valley electron system in two dimensions
journal, January 2020


Metallic state in a strongly interacting spinless two-valley electron system in two dimensions
text, January 2019


Ground-state atlas of a three-dimensional semimetal in the quantum limit
text, January 2019


Thermodynamic evidence of magnetic-field-induced complete valley polarization in bismuth
journal, February 2019