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Title: Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2

Abstract

An exact mapping between quantum spins and boson gases provides fresh approaches to the creation of quantum condensates and crystals. Our magnetization measurements on the dimerised quantum magnet SrCu2(BO3)2 at cryogenic temperatures and through a quantum phase transition demonstrate the emergence of fractionally-filled bosonic crystals in mesoscopic patterns, specified by a sequence of magnetization plateaus. We apply tens of Teslas of magnetic field to tune the density of bosons and GigaPascals of hydrostatic pressure to regulate the underlying interactions. Simulations help parse the balance between energy and geometry in the emergent spin superlattices. The magnetic crystallites are the end result of a progression from a direct product of singlet states in each short dimer at zero field to preferred filling fractions of spin triplet bosons in each dimer at large magnetic field, enriching the known possibilities for collective states in both quantum spin and atomic systems.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [5];  [7];  [7];  [6]
  1. Duke Univ., Durham, NC (United States); Univ. of Chicago, Chicago, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Florida State Univ., Tallahassee, FL (United States)
  3. Northeastern Univ., Boston, MA (United States)
  4. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Argonne National Lab. (ANL), Argonne, IL (United States)
  6. Univ. of Chicago, Chicago, IL (United States); California Inst. of Technology (CalTech), Pasadena, CA (United States)
  7. McMaster Univ., Hamilton, ON (Canada)
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1307424
Alternate Identifier(s):
OSTI ID: 1339557
Grant/Contract Number:  
NA0001979; AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 7; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 36 MATERIALS SCIENCE; Spintronics; Magnetic properties and materials

Citation Formats

Haravifard, S., Graf, D., Feiguin, A. E., Batista, C. D., Lang, J. C., Silevitch, D. M., Srajer, G., Gaulin, B. D., Dabkowska, H. A., and Rosenbaum, T. F. Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2. United States: N. p., 2016. Web. doi:10.1038/ncomms11956.
Haravifard, S., Graf, D., Feiguin, A. E., Batista, C. D., Lang, J. C., Silevitch, D. M., Srajer, G., Gaulin, B. D., Dabkowska, H. A., & Rosenbaum, T. F. Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2. United States. https://doi.org/10.1038/ncomms11956
Haravifard, S., Graf, D., Feiguin, A. E., Batista, C. D., Lang, J. C., Silevitch, D. M., Srajer, G., Gaulin, B. D., Dabkowska, H. A., and Rosenbaum, T. F. Mon . "Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2". United States. https://doi.org/10.1038/ncomms11956. https://www.osti.gov/servlets/purl/1307424.
@article{osti_1307424,
title = {Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2},
author = {Haravifard, S. and Graf, D. and Feiguin, A. E. and Batista, C. D. and Lang, J. C. and Silevitch, D. M. and Srajer, G. and Gaulin, B. D. and Dabkowska, H. A. and Rosenbaum, T. F.},
abstractNote = {An exact mapping between quantum spins and boson gases provides fresh approaches to the creation of quantum condensates and crystals. Our magnetization measurements on the dimerised quantum magnet SrCu2(BO3)2 at cryogenic temperatures and through a quantum phase transition demonstrate the emergence of fractionally-filled bosonic crystals in mesoscopic patterns, specified by a sequence of magnetization plateaus. We apply tens of Teslas of magnetic field to tune the density of bosons and GigaPascals of hydrostatic pressure to regulate the underlying interactions. Simulations help parse the balance between energy and geometry in the emergent spin superlattices. The magnetic crystallites are the end result of a progression from a direct product of singlet states in each short dimer at zero field to preferred filling fractions of spin triplet bosons in each dimer at large magnetic field, enriching the known possibilities for collective states in both quantum spin and atomic systems.},
doi = {10.1038/ncomms11956},
journal = {Nature Communications},
number = ,
volume = 7,
place = {United States},
year = {Mon Jun 20 00:00:00 EDT 2016},
month = {Mon Jun 20 00:00:00 EDT 2016}
}

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Works referenced in this record:

Viscosity of Liquid Helium below the λ-Point
journal, January 1938


Bose-Einstein Condensation in a Gas of Sodium Atoms
journal, November 1995


Observation of Resonance Condensation of Fermionic Atom Pairs
journal, January 2004


QUANTUM MECHANICS: To Condense or Not to Condense
journal, October 2002


Bose–Einstein condensation in magnetic insulators
journal, March 2008

  • Giamarchi, Thierry; Rüegg, Christian; Tchernyshyov, Oleg
  • Nature Physics, Vol. 4, Issue 3
  • DOI: 10.1038/nphys893

Erratum: Bose-Einstein condensation in quantum magnets [Rev. Mod. Phys. 86 , 563 (2014)]
journal, December 2014


Exact ground state of a quantum mechanical antiferromagnet
journal, August 1981


Synthesis, structure, and properties of the orthoborate SrCu2(BO3)2
journal, August 1991


Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin System SrCu 2 ( BO 3 ) 2
journal, April 1999


Exact Dimer Ground State of the Two Dimensional Heisenberg Spin System SrCu 2 ( BO 3 ) 2
journal, May 1999


Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
journal, October 2000

  • Knetter, Christian; Bühler, Alexander; Müller-Hartmann, Erwin
  • Physical Review Letters, Vol. 85, Issue 18
  • DOI: 10.1103/PhysRevLett.85.3958

High-Resolution Study of Spin Excitations in the Singlet Ground State of S r C u 2 ( B O 3 ) 2
journal, December 2004


Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
journal, October 2002


NMR Evidence for the Persistence of a Spin Superlattice Beyond the 1 / 8 Magnetization Plateau in SrCu 2 ( BO 3 ) 2
journal, July 2008


Fractalization drives crystalline states in a frustrated spin system
journal, December 2008

  • Sebastian, S. E.; Harrison, N.; Sengupta, P.
  • Proceedings of the National Academy of Sciences, Vol. 105, Issue 51
  • DOI: 10.1073/pnas.0804320105

Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu 2 (BO 3 ) 2
journal, February 2008


Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2
journal, July 2012

  • Jaime, M.; Daou, R.; Crooker, S. A.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 31
  • DOI: 10.1073/pnas.1200743109

Magnetization of SrCu 2 ( BO 3 ) 2 in Ultrahigh Magnetic Fields up to 118 T
journal, September 2013


Identifying topological order in the Shastry-Sutherland model via entanglement entropy
journal, November 2014


Continuous and discontinuous quantum phase transitions in a model two-dimensional magnet
journal, January 2012

  • Haravifard, S.; Banerjee, A.; Lang, J. C.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 7
  • DOI: 10.1073/pnas.1114464109

A Novel Ordered Phase in SrCu 2 (BO 3 ) 2 under High Pressure
journal, July 2007

  • Waki, Takeshi; Arai, Koichi; Takigawa, Masashi
  • Journal of the Physical Society of Japan, Vol. 76, Issue 7
  • DOI: 10.1143/JPSJ.76.073710

High-field and high-pressure ESR measurements of SrCu 2 (BO 3 ) 2
journal, March 2009


4-spin plaquette singlet state in the Shastry–Sutherland compound SrCu2(BO3)2
journal, July 2017

  • Zayed, M. E.; Rüegg, Ch.; Larrea J., J.
  • Nature Physics, Vol. 13, Issue 10
  • DOI: 10.1038/nphys4190

Emergence of long-range order in sheets of magnetic dimers
journal, September 2014

  • Haravifard, S.; Banerjee, A.; van Wezel, J.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
  • DOI: 10.1073/pnas.1413318111

Temperature dependence of the pressure induced monoclinic distortion in the spin Shastry–Sutherland compound SrCu2(BO3)2
journal, May 2014


Magnetic Susceptibility Measurements with a Tunnel Diode Oscillator
journal, May 1970

  • Clover, R. B.; Wolf, W. P.
  • Review of Scientific Instruments, Vol. 41, Issue 5
  • DOI: 10.1063/1.1684598

Quantum Phase Transitions in the Shastry-Sutherland Model for SrCu 2 ( BO 3 ) 2
journal, May 2000


Magnetic nanopantograph in the SrCu 2 (BO 3 ) 2 Shastry–Sutherland lattice
journal, February 2015

  • Radtke, Guillaume; Saúl, Andrés; Dabkowska, Hanna A.
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 7
  • DOI: 10.1073/pnas.1421414112

Effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu 2 (BO 3 ) 2
journal, January 2011


Crystal growth and magnetic behaviour of pure and doped SrCu2(11BO3)2
journal, August 2007


Pressure transmitting medium Daphne 7474 solidifying at 3.7 GPa at room temperature
journal, August 2008

  • Murata, Keizo; Yokogawa, Keiichi; Yoshino, Harukazu
  • Review of Scientific Instruments, Vol. 79, Issue 8
  • DOI: 10.1063/1.2964117

Calibration of the pressure dependence of the R 1 ruby fluorescence line to 195 kbar
journal, June 1975

  • Piermarini, G. J.; Block, S.; Barnett, J. D.
  • Journal of Applied Physics, Vol. 46, Issue 6
  • DOI: 10.1063/1.321957

Tunnel diode oscillator for 0.001 ppm measurements at low temperatures
journal, May 1975

  • Van Degrift, Craig T.
  • Review of Scientific Instruments, Vol. 46, Issue 5
  • DOI: 10.1063/1.1134272

Pressure dependence of the BaFe 2 As 2 Fermi surface within the spin density wave state
journal, April 2012


Torque magnetometry in pulsed magnetic fields with use of a commercial microcantilever
journal, August 2002

  • Ohmichi, E.; Osada, T.
  • Review of Scientific Instruments, Vol. 73, Issue 8
  • DOI: 10.1063/1.1491999

Magnetic Susceptibility Measurements with a Tunnel Diode Oscillator
journal, May 1970

  • Clover, R. B.; Wolf, W. P.
  • Review of Scientific Instruments, Vol. 41, Issue 5
  • DOI: 10.1063/1.1684598

Pressure transmitting medium Daphne 7474 solidifying at 3.7 GPa at room temperature
journal, August 2008

  • Murata, Keizo; Yokogawa, Keiichi; Yoshino, Harukazu
  • Review of Scientific Instruments, Vol. 79, Issue 8
  • DOI: 10.1063/1.2964117

Emergence of long-range order in sheets of magnetic dimers
journal, September 2014

  • Haravifard, S.; Banerjee, A.; van Wezel, J.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
  • DOI: 10.1073/pnas.1413318111

Magnetic nanopantograph in the SrCu 2 (BO 3 ) 2 Shastry–Sutherland lattice
journal, February 2015

  • Radtke, Guillaume; Saúl, Andrés; Dabkowska, Hanna A.
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 7
  • DOI: 10.1073/pnas.1421414112

Tensor network study of the Shastry-Sutherland model in zero magnetic field
journal, March 2013


Crystals of Bound States in the Magnetization Plateaus of the Shastry-Sutherland Model
journal, April 2014


Interpretation of Recent Results on He 3 below 3 mK: A New Liquid Phase?
journal, October 1972


Bose-Einstein Condensation in a Gas of Sodium Atoms
conference, January 1996

  • Davis, K. B.; Mewes, M. -O.; Andrews, M. R.
  • EQEC'96. 1996 European Quantum Electronic Conference, EQEC 96 1996 European Quantum Electronic Conference EQEC-96
  • DOI: 10.1109/eqec.1996.561567

A Lattice Model of Liquid Helium, I
journal, December 1956

  • Matsubara, Takeo; Matsuda, Hirotsugu
  • Progress of Theoretical Physics, Vol. 16, Issue 6
  • DOI: 10.1143/ptp.16.569

Fractalization drives crystalline states in a frustrated spin system
text, January 2007


Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
text, January 2013


Identifying topological order in the Shastry-Sutherland model via entanglement entropy
text, January 2014


Works referencing / citing this record:

Ground-State Properties for Bilayer Kitaev Model: Dimer Expansion Study
journal, September 2018

  • Koga, Akihisa; Tomishige, Hiroyuki; Nasu, Joji
  • Journal of Superconductivity and Novel Magnetism, Vol. 32, Issue 6
  • DOI: 10.1007/s10948-018-4891-5

4-spin plaquette singlet state in the Shastry–Sutherland compound SrCu2(BO3)2
journal, July 2017

  • Zayed, M. E.; Rüegg, Ch.; Larrea J., J.
  • Nature Physics, Vol. 13, Issue 10
  • DOI: 10.1038/nphys4190

The nature of spin excitations in the one-third magnetization plateau phase of Ba3CoSb2O9
journal, July 2018


Pressure-tuning the quantum spin Hamiltonian of the triangular lattice antiferromagnet Cs2CuCl4
journal, March 2019


Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland system
journal, June 2019


Unconventional field induced phases in a quantum magnet formed by free radical tetramers
journal, February 2018


Dynamics and Instabilities of the Shastry-Sutherland Model
journal, June 2018


Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
journal, October 2019


Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
text, January 2019


Dynamics and Instabilities of the Shastry-Sutherland Model
text, January 2018


Ground-state properties for bilayer Kitaev model: dimer expansion study
text, January 2018


Author Correction: The nature of spin excitations in the one-third magnetization plateau phase of Ba3CoSb2O9
journal, August 2018