Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$\frac{1}{2}$ antiferromagnet $\mathrm{NaVOPO_4}$

Mukharjee, Prashanta K.; Ranjith, K. M.; Koo, B.; Sichelschmidt, J.; Baenitz, M.; Skourski, Y.; Inagaki, Y.; Furukawa, Y.; Tsirlin, A. A.; Nath, R.

doi:10.1103/PhysRevB.100.144433

Title: Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$$\frac{1}{2}$$ antiferromagnet $$\mathrm{NaVOPO_4}$$

Abstract

Structural and magnetic properties of a quasi-one-dimensional spin-$$\frac{1}{2}$$ compound $$\mathrm{NaVOPO_4}$$ are explored by x-ray diffraction, magnetic susceptibility, high-field magnetization, specific heat, electron spin resonance, and $$\mathrm{^{31}P}$$ nuclear magnetic resonance measurements, as well as complementary ab initio calculations. Whereas magnetic susceptibility of $$\mathrm{NaVOPO_4}$$ may be compatible with the gapless uniform spin chain model, detailed examination of the crystal structure reveals a weak alternation of the exchange couplings with the alternation ratio $α ≃ 0.98$ and the ensuing zero-field spin gap $$Δ_0/k_B ≃ 2.4 K$$ directly probed by field-dependent magnetization measurements. No long-range order is observed down to 50 mK in zero field. However, applied fields above the critical field $$H_{c1} ≃ 1.6 T$$ give rise to a magnetic ordering transition with the phase boundary $$T_N ∝(H - H_{c1})^{\frac{1}{Φ}}$$, where $Φ ≃ 1.8$ is close to the value expected for Bose-Einstein condensation of triplons. Finally, with its weak alternation of the exchange couplings and small spin gap, $$\mathrm{NaVOPO_4}$$ lies close to the quantum critical point.

Authors:

Mukharjee, Prashanta K. ^[1];

^[2]; Koo, B. ^[2];

^[2]; Baenitz, M. ^[2]; Skourski, Y. ^[3]; Inagaki, Y. ^[4]; Furukawa, Y. ^[5]; Tsirlin, A. A. ^[6]; Nath, R. ^[1]

Indian Inst. of Science Education and Research, Pune (India). School of Physics
Max Planck Inst. for Chemical Physics, Dresden (Germany)
Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany). Dresden High Magnetic Field Lab. (HLD-EMFL)
Kyushu Univ., Fukuoka (Japan). Dept. of Applied Quantum Physics, Faculty of Engineering; Iowa State Univ., Ames, IA (United States). Dept. of Electrical and Computer Engineering
Iowa State Univ., Ames, IA (United States). Dept. of Electrical and Computer Engineering
Univ. of Augsburg (Germany). Inst. of Physics, Center for Electronic Correlations and Magnetism

Publication Date:: 2019-10-25

Research Org.:: Ames Lab., Ames, IA (United States)

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

OSTI Identifier:: 1572382

Report Number(s):: IS-J 10064
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US2100043

Grant/Contract Number:: 37(3)/14/26/2017-BRNS; AC02-07CH11358

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 100; 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

Citation Formats


                    Mukharjee, Prashanta K., Ranjith, K. M., Koo, B., Sichelschmidt, J., Baenitz, M., Skourski, Y., Inagaki, Y., Furukawa, Y., Tsirlin, A. A., and Nath, R.. Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$\frac{1}{2}$ antiferromagnet $\mathrm{NaVOPO_4}$.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevB.100.144433.

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                    Mukharjee, Prashanta K., Ranjith, K. M., Koo, B., Sichelschmidt, J., Baenitz, M., Skourski, Y., Inagaki, Y., Furukawa, Y., Tsirlin, A. A., & Nath, R.. Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$\frac{1}{2}$ antiferromagnet $\mathrm{NaVOPO_4}$.  United States.  https://doi.org/10.1103/PhysRevB.100.144433

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                    Mukharjee, Prashanta K., Ranjith, K. M., Koo, B., Sichelschmidt, J., Baenitz, M., Skourski, Y., Inagaki, Y., Furukawa, Y., Tsirlin, A. A., and Nath, R.. Fri .  
"Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$\frac{1}{2}$ antiferromagnet $\mathrm{NaVOPO_4}$".  United States.  https://doi.org/10.1103/PhysRevB.100.144433.  https://www.osti.gov/servlets/purl/1572382.

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@article{osti_1572382,

  title        = {Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$\frac{1}{2}$ antiferromagnet $\mathrm{NaVOPO_4}$},

  author       = {Mukharjee, Prashanta K. and Ranjith, K. M. and Koo, B. and Sichelschmidt, J. and Baenitz, M. and Skourski, Y. and Inagaki, Y. and Furukawa, Y. and Tsirlin, A. A. and Nath, R.},

  abstractNote = {Structural and magnetic properties of a quasi-one-dimensional spin-$\frac{1}{2}$ compound $\mathrm{NaVOPO_4}$ are explored by x-ray diffraction, magnetic susceptibility, high-field magnetization, specific heat, electron spin resonance, and $\mathrm{^{31}P}$ nuclear magnetic resonance measurements, as well as complementary ab initio calculations. Whereas magnetic susceptibility of $\mathrm{NaVOPO_4}$ may be compatible with the gapless uniform spin chain model, detailed examination of the crystal structure reveals a weak alternation of the exchange couplings with the alternation ratio $α ≃ 0.98$ and the ensuing zero-field spin gap $Δ_0/k_B ≃ 2.4 K$ directly probed by field-dependent magnetization measurements. No long-range order is observed down to 50 mK in zero field. However, applied fields above the critical field $H_{c1} ≃ 1.6 T$ give rise to a magnetic ordering transition with the phase boundary $T_N ∝(H - H_{c1})^{\frac{1}{Φ}}$, where $Φ ≃ 1.8$ is close to the value expected for Bose-Einstein condensation of triplons. Finally, with its weak alternation of the exchange couplings and small spin gap, $\mathrm{NaVOPO_4}$ lies close to the quantum critical point.},

  doi          = {10.1103/PhysRevB.100.144433},

  journal      = {Physical Review B},

  number       = 14,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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FIG. 1: (a) Crystal structure of NaVOPO₄ projected in the $ab$-plane. The spin chains are separated by the black dashed lines. The VO₆ and PO₄ polyhedra are shown in green and blue colors, respectively. (b) A section of the magnetic (bond-alternating) chain with the intrachain couplings $J$ and $J′$. (c)more »

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Magnetic properties of Ag(2)VOP(2)O(7): an unexpected spin dimer system
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arXiv
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arXiv
DOI: 10.48550/arxiv.1106.5549

Quantum-critical spin dynamics in quasi-one-dimensional antiferromagnets
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Mukhopadhyay, S.; Klanjšek, M.; Grbić, M. S.
arXiv
DOI: 10.48550/arxiv.1208.6117

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Willenberg, B.; Ryll, H.; Kiefer, K.
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DOI: 10.48550/arxiv.1406.6149

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Hirata, Satoshi; Kurita, Nobuyuki; Yamada, Motoki
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Cluster spin-glass behaviour and memory effect in Cr$_{0.5}$Fe$_{0.5}$Ga
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Bag, Pallab; Baral, P. R.; Nath, R.
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DOI: 10.48550/arxiv.1810.03890

Singlet ground state in the alternating spin-$1/2$ chain compound NaVOAsO$_4$
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arXiv
DOI: 10.48550/arxiv.1810.06232

Specific heat and high-temperature series of lattice models: interpolation scheme and examples on quantum spin systems in one and two dimensions
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Bernu, B.; Misguich, G.
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DOI: 10.48550/arxiv.cond-mat/0306519

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Title: Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$$\frac{1}{2}$$ antiferromagnet $$\mathrm{NaVOPO_4}$$

Abstract

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Figures / Tables:

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Quantum magnetism and criticality text, January 2007

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journal, October 1996

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journal, January 2014

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journal, November 2011

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journal, December 2004

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journal, April 1999

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journal, November 1999

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journal, October 2008

Singlet ground state in the alternating spin- $\frac{1}{2}$ chain compound ${NaVOAsO}_{4}$
journal, January 2019

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journal, May 1996

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journal, April 1963

Frustrated couplings between alternating spin- $\frac{1}{2}$ chains in AgVOAsO $_{4}$
journal, April 2011

Recent advances in magnetic structure determination by neutron powder diffraction
journal, October 1993

Observation of the spin-Peierls transition in linear ${Cu}^{2 +}$ (spin-1/2) chains in an inorganic compound ${CuGeO}_{3}$
journal, June 1993

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journal, October 2012

Magnetic-Field-Induced Condensation of Triplons in Han Purple Pigment ${B a C u S i}_{2} O_{6}$
journal, August 2004

Bose-Einstein Condensation of $S = 1$ Nickel Spin Degrees of Freedom in ${NiCl}_{2} − 4 SC ({NH}_{2})_{2}$
journal, February 2006

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journal, October 2018

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journal, January 2008

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journal, March 2008

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journal, June 1998

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journal, June 2001

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journal, April 2007

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journal, March 2008

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journal, March 2008

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journal, October 2002

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journal, October 2009

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journal, December 2017

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journal, May 2014

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journal, January 1999

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journal, December 2004

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journal, June 2015

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journal, January 2009

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journal, December 2009

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journal, May 2009

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journal, July 1956

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journal, June 2002

Controlling Luttinger Liquid Physics in Spin Ladders under a Magnetic Field
journal, September 2008

Field-Induced Tomonaga-Luttinger Liquid Phase of a Two-Leg Spin-1/2 Ladder with Strong Leg Interactions
journal, September 2010

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journal, March 2009

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journal, November 2009

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journal, May 2004

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journal, May 2005

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journal, September 2011

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journal, May 1999

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journal, May 2018

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journal, July 2009

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional Antiferromagnets ${Sr}_{2} {CuO}_{3}$ and ${Ca}_{2} {CuO}_{3}$
journal, March 1997

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journal, April 2010

Wigner Crystallization in ${N a}_{3} {C u}_{2} O_{4}$ and ${N a}_{8} {C u}_{5} O_{10}$ Chain Compounds
journal, February 2005

NMR relaxation in half-integer antiferromagnetic spin chains
journal, November 1994

Dimerization of ${CuGeO}_{3}$ in the Spin-Peierls State
journal, August 1994

Thermodynamics of spin $S = 1 / 2$ antiferromagnetic uniform and alternating-exchange Heisenberg chains
journal, April 2000

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journal, March 2009

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journal, July 2008

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journal, June 2000

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journal, October 1978

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journal, March 2006

Charge-Order-Driven Spin-Peierls Transition in $α^{'} - {Na}_{x} V_{2} O_{5}$
journal, May 2000

Universal scaling at field-induced magnetic phase transitions
journal, June 2004

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journal, December 2011

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journal, May 1999

Singlet ground state in the spin- $\frac{1}{2}$ weakly coupled dimer compound ${NH}_{4} [{(V_{2} O_{3})}_{2} {(4, 4^{'} - b p y)}_{2} (H_{2} {PO}_{4}) {({PO}_{4})}_{2}] \cdot 0.5 H_{2} O$
journal, May 2017

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journal, January 1991

Dirac fermions and flat bands in the ideal kagome metal FeSn
journal, December 2019

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journal, February 1956

Synthesis and structural characterization of sodium vanadyl(IV) orthophosphate NaVOPO ₄
journal, December 1991

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text, January 2007

Quantum magnetism and criticality
text, January 2007

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text, January 2007

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text, January 2008

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text, January 2008

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text, January 2009