Quantum criticality and universal scaling of a quantum antiferromagnet

Nature Materials

Volumn 4, Issue 4, 2005, Pages 329-334

  Lake, Bella ^a,b,d   Tennant, D Alan ^b,c,e   Frost, Chris D ^c   Nagler, Stephen E ^a  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c RUTHERFORD APPLETON LABORATORY   (United Kingdom)

^d IOWA STATE UNIVERSITY   (United States)

^e HAHN MEITNER INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC MATERIALS; APPROXIMATION THEORY; CARBON NANOTUBES; CONDENSATION; CONTINUUM MECHANICS; FUNCTIONS; HIGH TEMPERATURE SUPERCONDUCTORS; NEUTRON SCATTERING; PARAMAGNETISM; TOPOLOGY; VECTORS;

BRILLOUIN ZONE; HEISENBERG ANTIFERROMAGNETIC CHAINS (HAFC); LUTTINGER LIQUID (LL); QUANTUM CRITICAL POINT (QCP);

QUANTUM THEORY;

ARTICLE; MAGNETISM; METHODOLOGY; NEUTRON; PHYSICS; QUANTUM THEORY; RADIATION SCATTERING; STATISTICAL MODEL; TEMPERATURE;

MAGNETICS; MODELS, STATISTICAL; NEUTRONS; PHYSICS; QUANTUM THEORY; SCATTERING, RADIATION; TEMPERATURE;

EID: 16244372425     PISSN: 14761122     EISSN: None     Source Type: Journal    
DOI: 10.1327/nmat1327     Document Type: Article

References (31)

1. Sachdev, S. Quantum criticality: competing ground states in low dimensions. Science 288, 475-480 (2000).
2. Hertz, J. A. Quantum critical phenomena. Phys. Rev. B14, 1165-1184 (1976).
3. 4+y. Phys. Rev. Lett. 67, 1930-1933 (1991).
4. 4. Phys. Rev. Lett. 66, 821-824 (1991).
5. c superconductor. Science 278, 1432-1435 (1997).
6. 5-xPd, (x=1,1.5). Phys. Rev. Lett. 75, 725-728 (1995).
7. 7. Science 294, 329-332 (2001).
8. Schroder, A. et al. Onset of antiferromagnetism in heavy-fermion metals. Nature 407, 351-355 (2000).
9. Gogolin, A., O., Nersesyan, A. A. & Tsvelik, A. M. Bosonization and Strongly Correlated Systems (Cambridge Univ. Press, Cambridge, 1998).
10. Luther, A. & Peschel, I. Single-particle states, Kohn anomaly, and pairing fluctuations in one dimension, Phys. Rev. B9, 2911-2919 (1974).
11. Luther, A. & Peschel, I. Calculation of critical exponents hi two dimensions from quantum field theory in one dimension. Phys. Rev. B12, 3908-3917 (1975).
12. Faddeev, L. D. & Takhtajan, L. A. What is the spin of a spin-wave. Phys. Lett. A 85, 375-377 (1981).
13. Haldane, F. D. M. Fractional statistics in arbitrary dimensions - a generalization of the Pauli principle. Phys. Rev. Lett. 67, 937-940 (1991).
14. Muller, G., Thomas, H., Beck, H. & Bonner, J. C. Quantum spin dynamics of die antiferromagnetic linear chain in zero and nonzero magnetic field. Phys. Rev. B 24, 1429-1467 (1981).
15. Karbach, M., Müller, G., Bougourzi, A. H., Fledderjohann, A. & Mütter, K.-H. Two-spüion dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet. Phys. Rev. B 55, 12510-12517 (1997).
16. Schulz, H. J. Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin number. Phys. Rev. B 34, 6372-6385 (1986).
17. Anderson, P. W. An approximate quantum theory of the antiferromagnetic ground state. Phys. Rev. B 86, 694-701 (1952).
18. 3. Phys. Rev. 521, 2001-2007 (1980).
19. Haldane, F. D. M. O(3) nonlinear sigma-model and the topological distinction between integer-spin and half-integer-spin antiferromagnets in 2 dimensions. Phys. Rev. Lett. 61, 1029-1032 (1988).
20. 3. Phys. Rev. 188, 919-923 (1969).
21. 3 using neutron scattering. Phys. Rev B 52, 13368-13380 (1995).
22. 3. Phys. Rev. B 52, 13381-13389 (1995).
23. Dender, D. C. et al. Magnetic properties of a quasi-one-dimensional S=1/2 antiferromagnet: Copper benzoate. Phys. Rev. B53, 2583-2589 (1996).
24. 7. Phys. Rev. B 65, 014402-014410 (2002).
25. 3. Phys. Rev. Lett. 85, 832-835 (2000).
26. 4. J. Phys. Condens. Matter 9, 10951-10975 (1997).
27. Essler, F. H. L., Tsvelik, A. M. & Delfino, G. Quasi-one-dimensional spin-1/2 Heisenberg magnets in their ordered phase: correlation functions. Phys. Rev. B56, 11001-11013 (1997).
28. Schulz, H. J. Dynamics of coupled quantum spin chains. Phys. Rev. Lett. 77, 2790-2793 (1996).
29. Kittel, C. Introduction to Solid State Physics 6th edn, 443-450 (Wiley, New York, 1986).
30. Smirnov, F. A. Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992).
31. Bocquet, M. Finite temperature perturbation theory for quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets. Phys. Rev. B 65, 184415-184425 (2002).