Evolution of quantum fluctuations near the quantum critical point of the transverse field ising chain system CoNb2O6

Physical Review X

Volumn 4, Issue 3, 2014, Pages

  Kinross, A W ^a   Fu, M ^a   Munsie, T J ^a   Dabkowska, H A ^b   Luke, G M ^a,c   Sachdev, Subir ^d   Imai, T ^a,c  

^a MCMASTER UNIVERSITY   (Canada)

^b MCMASTER UNIVERSITY   (Canada)

^c CANADIAN INSTITUTE FOR ADVANCED RESEARCH   (Canada)

^d HARVARD UNIVERSITY   (United States)

Author keywords

Condensed Matter Physics; Magnetism; Strongly Correlated Materials

Indexed keywords

CONDENSED MATTER PHYSICS; MAGNETISM; PHASE TRANSITIONS; QUANTUM ELECTRONICS;

LONGITUDINAL RELAXATION; QUANTUM CRITICAL POINTS; QUANTUM CRITICAL SCALING; QUANTUM CRITICALITY; QUANTUM PHASE TRANSITIONS; STRONGLY CORRELATED MATERIALS; TEMPERATURE DEPENDENCE; TRANSVERSE MAGNETIC FIELD;

CHAINS;

EID: 84904571446     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.4.031008     Document Type: Article

References (42)

1. J. A. Hertz, Quantum Critical Phenomena, Phys. Rev. B 14, 1165 (1976).
2. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Two- Dimensional Quantum Heisenberg Antiferromagnet at Low Temperatures, Phys. Rev. B 39, 2344 (1989).
3. A. J. Millis, Effect of a Nonzero Temperature on Quantum Critical Points in Itinerant Fermion Systems, Phys. Rev. B 48, 7183 (1993).
4. A. V. Chubukov, S. Sachdev, and J. Ye, Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State, Phys. Rev. B 49, 11919 (1994).
5. A. M. Goldman and N. Markovic, Superconductor- Insulator Transitions in the Two-Dimensional Limit, Phys. Today 51, 39 (1998).
6. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999), 1st ed.
7. S. Sachdev, Quantum Magnetism and Criticality, Nat. Phys. 4, 173 (2008).
8. P. Gegenwart, Q. Si, and F. Steglich, Quantum Criticality in Heavy-Fermion Metals, Nat. Phys. 4, 186 (2008).
9. S. Sachdev and B. Keimer, Quantum Criticality, Phys. Today 64, 29 (2011).
10. G. R. Lonzarich, Magnetic Quantum Liquid Enigma, Nat. Phys. 1, 11 (2005).
11. A. Kopp and S. Chakravarty, Criticality in Correlated Quantum Matter, Nat. Phys. 1, 53 (2005).
12. P. Pfeuty, The One-Dimensional Ising Model with a Transverse Field, Ann. Phys. (N.Y.) 57, 79 (1970).
13. 6 in the Ordered State, Solid State Commun. 21, 93 (1977).
14. 6, J. Magn. Magn. Mater. 13, 121 (1979).
15. 6 in Magnetic Fields, J. Phys. Soc. Jpn. 63, 2706 (1994).
16. 6: A Neutron Diffraction Study, J. Magn. Magn. Mater. 151, 123 (1995).
17. 6 with Partially Released Geometrical Frustration, Phys. Rev. B 60, 3331 (1999).
18. 6, J. Phys. Soc. Jpn. 68, 1703 (1999).
19. 6 Investigated by High-Resolution Time-Domain Terahertz Spectroscopy, Phys. Rev. Lett. 112, 137403 (2014).
20. 8 Symmetry, Science 327, 177 (2010).
21. S. Sachdev and A. P. Young, Low Temperature Relaxational Dynamics of the Ising Chain in a Transverse Field, Phys. Rev. Lett. 78, 2220 (1997).
22. M. Suzuki, Relationship Between d-Dimensional Quantum Spin Systems and (d + 1)-Dimensional Ising Systems, Prog. Theor. Phys. 56, 1454 (1976).
23. J. Zhang, F. M. Cucchietti, C.M. Chandrashekar, M. Laforest, C. A. Ryan, M. Ditty, A. Hubbard, J. K. Gamble, and R. Laflamme, Direct Observation of Quantum Criticality in Ising Spin Chains, Phys. Rev. A 79, 012305 (2009).
24. J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman, The Theory of Critical Phenomena (Oxford University Press, New York, 1992).
25. B. K. Chakrabarti, A. Dutta, and P. Sen, Quantum Ising Phases in Transverse Ising Models (Springer-Verlag, Berlin, Heidelberg, 1996).
26. E. Husson, Y. Repelin, N. Q. Dao, and H. Brusset, Characterization of Different Bondings in Some Divalent Metal Niobates of Columbite Structure, Mater. Res. Bull. 12, 1199 (1977).
27. K. Momma and F. Izumi, VESTA 3 for Three-Dimensional Visualization of Crystal, Volumetric and Morphology Data, J. Appl. Crystallogr. 44, 1272 (2011).
28. E. M. da Silva Wheeler, Neutron Scattering from Low-Dimensional Quantum Magnets, Ph.D. thesis, Oxford University, 2007.
29. S. Lee, R. K. Kaul, and L. Balents, Interplay of Quantum Criticality and Geometric Frustration in Columbite, Nat. Phys. 6, 702 (2010).
30. 4, Phys. Rev. Lett. 70, 1002 (1993).
31. 4, Phys. Rev. Lett. 71, 1254 (1993).
32. 4 (0 ≤ x ≤ 0.15), Physica (Amsterdam) 197B, 601 (1994).
33. S. Mukhopadhyay, M. Klanjsek, M. S. Grbic, R. Blinder, H. Mayaffre, C. Berthier, M. Horvatic, M. A. Continentino, A. Paduan-Filho, B. Chiari et al., Quantum-Critical Spin Dynamics in Quasi-One-Dimensional Antiferromagnets, Phys. Rev. Lett. 109, 177206 (2012).
34. 3, Phys. Rev. Lett. 92, 207202 (2004).
35. H. Kuhne, A. A. Zvyagin, M. Gunther, A. P. Reyes, P. L. Kuhns, M.M. Turnbull, C. P. Landee, and H.-H. Klauss, Dynamics of a Heisenberg Spin Chain in the Quantum Critical Regime: NMR Experiment versus Effective Field Theory, Phys. Rev. B 83, 100407(R) (2011).
36. 2, Phys. Rev. Lett. 104, 037001 (2010).
37. 2, Phys. Rev. Lett. 105, 107003 (2010).
38. 2, Nat. Commun. 4, 2265 (2013).
39. A. Narath, Nuclear Spin-Lattice Relaxation in Hexagonal Transition Metals: Titanium, Phys. Rev. 162, 320 (1967).
40. 8 Symmetry, arXiv:1403.7222.
41. S. Sachdev, T. Senthil, and R. Shankar, Finite-Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions, Phys. Rev. B 50, 258 (1994).
42. V. Jaccarino, Proceedings of the International School of Physics, Enrico Fermi, Vol. XXXVII (Academic Press, New York, 1967), p. 335.