Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet
Abstract
Here, we investigate the quantum phase transition from magnetic Bose Glass to magnetic Bose-Einstein condensation induced by a magnetic field in NiCl 2∙4SC(NH 2) 2 (dichloro-tetrakis-thiourea-nickel, or DTN), doped with Br (Br-DTN) or site diluted. Quantum Monte Carlo simulations for the quantum phase transition of the model Hamiltonian for Br-DTN, as well as for site-diluted DTN, are consistent with conventional scaling at the quantum critical point and with a critical exponent $$z$$ verifying the prediction $z = d$; moreover the correlation length exponent is found to be $ν = 0.75(10)$, and the order parameter exponent to be $β = 0.95(10)$. We investigate the low-temperature thermodynamics at the quantum critical field of Br-DTN both numerically and experimentally, and extract the power-law behavior of the magnetization and of the specific heat. Our results for the exponents of the power laws, as well as previous results for the scaling of the critical temperature to magnetic ordering with the applied field, are incompatible with the conventional crossover-scaling Ansatz proposed by Fisher et al. [Phys. Rev. B 40, 546 (1989)]. However they can all be reconciled within a phenomenological Ansatz in the presence of a dangerously irrelevant operator.
- Authors:
-
- Rice Univ., Houston, TX (United States). Dept. of Physics & Astronomy
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); National Inst. for Materials Physics, Bucharest-Magurele (Romania)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Sao Paulo (Brazil). Inst. of Physics
- Univ. de Lyon, Lyon (France). Ecole Normale Supérieure de Lyon, Lab. de Physique
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1565036
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 86; Journal Issue: 13; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics
Citation Formats
Yu, Rong, Miclea, Corneliu F., Weickert, Franziska, Movshovich, Roman, Paduan-Filho, Armando, Zapf, Vivien S., and Roscilde, Tommaso. Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet. United States: N. p., 2012.
Web. doi:10.1103/physrevb.86.134421.
Yu, Rong, Miclea, Corneliu F., Weickert, Franziska, Movshovich, Roman, Paduan-Filho, Armando, Zapf, Vivien S., & Roscilde, Tommaso. Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet. United States. https://doi.org/10.1103/physrevb.86.134421
Yu, Rong, Miclea, Corneliu F., Weickert, Franziska, Movshovich, Roman, Paduan-Filho, Armando, Zapf, Vivien S., and Roscilde, Tommaso. Tue .
"Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet". United States. https://doi.org/10.1103/physrevb.86.134421. https://www.osti.gov/servlets/purl/1565036.
@article{osti_1565036,
title = {Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet},
author = {Yu, Rong and Miclea, Corneliu F. and Weickert, Franziska and Movshovich, Roman and Paduan-Filho, Armando and Zapf, Vivien S. and Roscilde, Tommaso},
abstractNote = {Here, we investigate the quantum phase transition from magnetic Bose Glass to magnetic Bose-Einstein condensation induced by a magnetic field in NiCl2∙4SC(NH2)2 (dichloro-tetrakis-thiourea-nickel, or DTN), doped with Br (Br-DTN) or site diluted. Quantum Monte Carlo simulations for the quantum phase transition of the model Hamiltonian for Br-DTN, as well as for site-diluted DTN, are consistent with conventional scaling at the quantum critical point and with a critical exponent $z$ verifying the prediction $z = d$; moreover the correlation length exponent is found to be $ν = 0.75(10)$, and the order parameter exponent to be $β = 0.95(10)$. We investigate the low-temperature thermodynamics at the quantum critical field of Br-DTN both numerically and experimentally, and extract the power-law behavior of the magnetization and of the specific heat. Our results for the exponents of the power laws, as well as previous results for the scaling of the critical temperature to magnetic ordering with the applied field, are incompatible with the conventional crossover-scaling Ansatz proposed by Fisher et al. [Phys. Rev. B 40, 546 (1989)]. However they can all be reconciled within a phenomenological Ansatz in the presence of a dangerously irrelevant operator.},
doi = {10.1103/physrevb.86.134421},
url = {https://www.osti.gov/biblio/1565036},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 13,
volume = 86,
place = {United States},
year = {2012},
month = {10}
}
Web of Science
Works referenced in this record:
Magnetic Bose glass phases of coupled antiferromagnetic dimers with site dilution
journal, October 2010
- Yu, Rong; Nohadani, Omid; Haas, Stephan
- Physical Review B, Vol. 82, Issue 13
Thermal Transport and Strong Mass Renormalization in
journal, January 2011
- Kohama, Y.; Sologubenko, A. V.; Dilley, N. R.
- Physical Review Letters, Vol. 106, Issue 3
Bose glass and Mott glass of quasiparticles in a doped quantum magnet
journal, September 2012
- Yu, Rong; Yin, Liang; Sullivan, Neil S.
- Nature, Vol. 489, Issue 7416
Anderson localization and interactions in one-dimensional metals
journal, January 1988
- Giamarchi, T.; Schulz, H. J.
- Physical Review B, Vol. 37, Issue 1
Direct Measurement of the Bose-Einstein Condensation Universality Class in at Ultralow Temperatures
journal, October 2008
- Yin, L.; Xia, J. S.; Zapf, V. S.
- Physical Review Letters, Vol. 101, Issue 18
Quantum phase transitions in coupled dimer compounds
journal, July 2005
- Nohadani, Omid; Wessel, Stefan; Haas, Stephan
- Physical Review B, Vol. 72, Issue 2
Onset of superfluidity in films adsorbed on disordered substrates
journal, May 1997
- Crowell, P. A.; Van Keuls, F. W.; Reppy, J. D.
- Physical Review B, Vol. 55, Issue 18
Disordered quantum gases under control
journal, February 2010
- Sanchez-Palencia, Laurent; Lewenstein, Maciej
- Nature Physics, Vol. 6, Issue 2
Boson localization and the superfluid-insulator transition
journal, July 1989
- Fisher, Matthew P. A.; Weichman, Peter B.; Grinstein, G.
- Physical Review B, Vol. 40, Issue 1
Field induced disordered-local-moment phase in site-diluted spin-gap antiferromagnets
journal, January 2008
- Yu, Rong; Roscilde, Tommaso; Haas, Stephan
- New Journal of Physics, Vol. 10, Issue 1
Critical Dynamics of the Dirty Boson Problem: Revisiting the Equality
journal, June 2007
- Weichman, Peter B.; Mukhopadhyay, Ranjan
- Physical Review Letters, Vol. 98, Issue 24
Quantum Localization in Bilayer Heisenberg Antiferromagnets with Site Dilution
journal, November 2005
- Roscilde, Tommaso; Haas, Stephan
- Physical Review Letters, Vol. 95, Issue 20
Dirty Bosons: Twenty Years Later
journal, October 2008
- Weichman, Peter B.
- Modern Physics Letters B, Vol. 22, Issue 27
Field-induced quantum-disordered phases in weakly coupled dimer systems with site dilution
journal, October 2006
- Roscilde, Tommaso
- Physical Review B, Vol. 74, Issue 14
Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
journal, September 2006
- Priyadarshee, Anand; Chandrasekharan, Shailesh; Lee, Ji-Woo
- Physical Review Letters, Vol. 97, Issue 11
Transition from Bose glass to a condensate of triplons in Tl K CuCl
journal, January 2011
- Yamada, Fumiko; Tanaka, Hidekazu; Ono, Toshio
- Physical Review B, Vol. 83, Issue 2
Critical phenomena and renormalization-group theory
journal, October 2002
- Pelissetto, Andrea; Vicari, Ettore
- Physics Reports, Vol. 368, Issue 6
Quantum Monte Carlo with directed loops
journal, October 2002
- Syljuåsen, Olav F.; Sandvik, Anders W.
- Physical Review E, Vol. 66, Issue 4
High-precision finite-size scaling analysis of the quantum-critical point of Heisenberg antiferromagnetic bilayers
journal, January 2006
- Wang, Ling; Beach, K. S. D.; Sandvik, Anders W.
- Physical Review B, Vol. 73, Issue 1
Cold atoms in the presence of disorder
journal, March 2012
- Shapiro, Boris
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 14
Field-induced criticality in a gapped quantum magnet with bond disorder
journal, March 2012
- Hüvonen, D.; Zhao, S.; Månsson, M.
- Physical Review B, Vol. 85, Issue 10
Classical percolation transition in the diluted two-dimensional Heisenberg antiferromagnet
journal, July 2002
- Sandvik, Anders W.
- Physical Review B, Vol. 66, Issue 2
Superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
journal, September 2011
- Lin, Fei; Sørensen, Erik S.; Ceperley, D. M.
- Physical Review B, Vol. 84, Issue 9
Bose-Einstein Condensation of Dilute Magnons in
journal, June 2000
- Nikuni, T.; Oshikawa, M.; Oosawa, A.
- Physical Review Letters, Vol. 84, Issue 25
Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model
journal, May 2006
- Hitchcock, Peter; Sørensen, Erik S.
- Physical Review B, Vol. 73, Issue 17
Low-temperature thermodynamic properties near the field-induced quantum critical point in NiCl -4SC(NH )
journal, May 2012
- Weickert, Franziska; Küchler, Robert; Steppke, Alexander
- Physical Review B, Vol. 85, Issue 18
Generic incommensurate transition in the two-dimensional boson Hubbard model
journal, July 2004
- Alet, Fabien; Sørensen, Erik S.
- Physical Review B, Vol. 70, Issue 2
Magnetic Excitations in the Spin-1 Anisotropic Heisenberg Antiferromagnetic Chain System
journal, January 2007
- Zvyagin, S. A.; Wosnitza, J.; Batista, C. D.
- Physical Review Letters, Vol. 98, Issue 4
Bose–Einstein condensation in magnetic insulators
journal, March 2008
- Giamarchi, Thierry; Rüegg, Christian; Tchernyshyov, Oleg
- Nature Physics, Vol. 4, Issue 3
Comment on “Transition from Bose glass to a condensate of triplons in Tl K CuCl ”
journal, June 2011
- Zheludev, A.; Hüvonen, D.
- Physical Review B, Vol. 83, Issue 21
Path-integral computation of superfluid densities
journal, December 1987
- Pollock, E. L.; Ceperley, D. M.
- Physical Review B, Vol. 36, Issue 16
Reply to “Comment on ‘Transition from Bose glass to a condensate of triplons in Tl K CuCl ’ ”
journal, June 2011
- Yamada, Fumiko; Tanaka, Hidekazu; Ono, Toshio
- Physical Review B, Vol. 83, Issue 21
Universal phase diagram of disordered bosons from a doped quantum magnet
journal, January 2010
- Yu, R.; Haas, S.; Roscilde, T.
- EPL (Europhysics Letters), Vol. 89, Issue 1
Evidence of a magnetic Bose glass in from neutron diffraction
journal, February 2010
- Hong, Tao; Zheludev, A.; Manaka, H.
- Physical Review B, Vol. 81, Issue 6
Bose-Glass Phases in Disordered Quantum Magnets
journal, November 2005
- Nohadani, Omid; Wessel, Stefan; Haas, Stephan
- Physical Review Letters, Vol. 95, Issue 22
Phase Diagram of the Commensurate Two-Dimensional Disordered Bose-Hubbard Model
journal, October 2011
- Söyler, Ş. G.; Kiselev, M.; Prokof’ev, N. V.
- Physical Review Letters, Vol. 107, Issue 18
Coupled ladders in a magnetic field
journal, May 1999
- Giamarchi, T.; Tsvelik, A. M.
- Physical Review B, Vol. 59, Issue 17
Quantum Critical Dynamics Simulation of Dirty Boson Systems
journal, January 2012
- Meier, Hannes; Wallin, Mats
- Physical Review Letters, Vol. 108, Issue 5
Superfluid-Insulator Transition in Commensurate Disordered Bosonic Systems: Large-Scale Worm Algorithm Simulations
journal, January 2004
- Prokof’ev, Nikolay; Svistunov, Boris
- Physical Review Letters, Vol. 92, Issue 1
Finite-Size Scaling and Correlation Lengths for Disordered Systems
journal, December 1986
- Chayes, J. T.; Chayes, L.; Fisher, Daniel S.
- Physical Review Letters, Vol. 57, Issue 24
Works referencing / citing this record:
Bose glass and Mott glass of quasiparticles in a doped quantum magnet
journal, September 2012
- Yu, Rong; Yin, Liang; Sullivan, Neil S.
- Nature, Vol. 489, Issue 7416
Criticality in a disordered quantum antiferromagnet studied by neutron diffraction
journal, November 2013
- Wulf, E.; Hüvonen, D.; Kim, J. -W.
- Physical Review B, Vol. 88, Issue 17
Quantum criticality in a three-dimensional spin system at zero field and pressure
journal, October 2017
- Povarov, K. Yu.; Mannig, A.; Perren, G.
- Physical Review B, Vol. 96, Issue 14
Spin waves near the edge of halogen substitution induced magnetic order in
journal, December 2018
- Mannig, A.; Povarov, K. Yu.; Ollivier, J.
- Physical Review B, Vol. 98, Issue 21
Critical Exponents of the Superfluid–Bose-Glass Transition in Three Dimensions
journal, June 2014
- Yao, Zhiyuan; da Costa, Karine P. C.; Kiselev, Mikhail
- Physical Review Letters, Vol. 112, Issue 22