Quantum criticality: A glimpse of a Luttinger liquid

Nature Materials

Volumn 4, Issue 4, 2005, Pages 273-275

  Zaliznyak, Igor A ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; CARBON NANOTUBES; COMPUTATION THEORY; FERMI LEVEL; LIQUIDS; NEUTRON SCATTERING; PHASE DIAGRAMS; TOPOLOGY;

BOSE LIQUIDS; LUTTINGER LIQUID; NANOCAPILLARIES; QUANTUM SYSTEMS;

QUANTUM THEORY;

ANISOTROPY; INSTRUMENTATION; MAGNETISM; METHODOLOGY; NOTE; PHYSICS; QUANTUM THEORY; TEMPERATURE; THEORETICAL MODEL;

ANISOTROPY; MAGNETICS; MODELS, THEORETICAL; PHYSICS; QUANTUM THEORY; TEMPERATURE;

EID: 16244397754     PISSN: 14761122     EISSN: None     Source Type: Journal    
DOI: 10.1038/nmat1358     Document Type: Review

References (14)

1. Belavin, A. A., Polyakov, A. M. & Zamolodcchikov, A. B. Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241, 333-380 (1983).
2. Cardy, J. L. Conformal invariance and universality in finite-size scaling. J. Phys. A 17, L385-L387 (1984).
3. Affleck, I. Exact critical exponents for quantum spin chains, non-linear σ-models at θ = π and the quantum hall effect. Nucl. Phys. B 265, 409-447 (1986).
4. Tsvelik, A. M. Quantum Field Theory in Condensed Matter Physics 2nd edn (Cambridge Univ. Press, Cambridge, 2003).
5. Lake, B., Tennant, D. A., Frost, C. D. & Nagler, S. E. Nature Mater. 4, 329-334 (2005).
6. Mattis, D. C. & Lieb, E. H. Exact solution of a many-fermion system and its associated boson field. J. Math. Phys. 6, 304-312 (1965).
7. Mattis, D. C. New wave-operator identity applied to the study of persistent currents in 1D. J. Math. Phys. 15, 609-612 (1974).
8. Regnault, L.-P., Zaliznyak, I. A. & Meshkov, S. V. Thermodynamic properties of the Haldane spin chain: statistical model for the elementary excitations. J. Phys. Condens. Matter 5, L677-L684 (1993).
9. Gogolin, A. O., Nersesyan, A. A. & Tsvelik, A. M. Bosonisation and Strongly Correlated Systems (Cambridge Univ. Press, Cambridge, 1998).
10. Haldane, F. D. M. "Luttinger liquid theory" of one-dimensional quantum fluids. J. Phys. C14, 2585-2609 (1981).
11. Bocquet, M., Essler, F. H. L., Tsvelik, A. M. & Gogolin, A. O. Finite-temperature dynamical susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets. Phys. Rev. B 64, 094425 (2001).
12. 2. Phys. Rev. Lett. 93, 087202 (2004).
13. Stone, M. B. et al. Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain. Phys. Rev. Lett. 91, 037205 (2003).
14. 7. Phys. Rev. B 67, 134406 (2003).