Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry-Reference-Cited by-同舟云学术

Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry

Published:2010-01-08 Issue:5962 Volume:327 Page:177-180
ISSN:0036-8075
Container-title:Science
language:en
Short-container-title:Science

Author:

Coldea R.¹,Tennant D. A.²,Wheeler E. M.¹,Wawrzynska E.³,Prabhakaran D.¹,Telling M.⁴,Habicht K.²,Smeibidl P.²,Kiefer K.²

Affiliation:

1. Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, UK.

2. Helmholtz-Zentrum Berlin für Materialien und Energie, Lise Meitner Campus, Glienicker Str. 100, D-14109 Berlin, Germany.

3. H. H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, UK.

4. ISIS, Rutherford Appleton Laboratory, Chilton, Didcot OX11 0QX, UK.

Abstract

Hidden Symmetry Revealed It is not often that an exact theory can describe a many-particle quantum-mechanical system, but one of the few exceptions is the behavior of a string of ferromagnets—an Ising chain—at magnetic field strengths that separate different types of ordering. Its excitations were predicted 20 years ago to be governed by the symmetry group E8, one of the most intriguing objects in mathematics. Now, Coldea et al. (p. 177 ) report direct experimental confirmation of this result in a quasi-one-dimensional Ising ferromagnet CoNb 2 O 6 , which they probed by neutron scattering. Two of the eight predicted excitations could be observed. Moreover, the ratio of the two lowest excitations is in quantitative agreement with the so-called “golden ratio” predicted by theory.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

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