TY - JOUR
T1 - O(3) nonlinear model and the topological distinction between integer- and half-integer-spin antiferromagnets in two dimensions
AU - Haldane, F. D.M.
PY - 1988
Y1 - 1988
N2 - It is shown that the O(3) nonlinear model derived from the quantum Heisenberg antiferromagnet in two spatial dimensions, under the assumption that the Néel field (r,t) is well defined at all points in (2+1)D space-time, has no Hopf term, in contradiction to recent speculation. However, the amplitudes for tunneling between configurations with different spatial topologies reveal a difference between integer and half-integer, and between even- and odd-integer, spins.
AB - It is shown that the O(3) nonlinear model derived from the quantum Heisenberg antiferromagnet in two spatial dimensions, under the assumption that the Néel field (r,t) is well defined at all points in (2+1)D space-time, has no Hopf term, in contradiction to recent speculation. However, the amplitudes for tunneling between configurations with different spatial topologies reveal a difference between integer and half-integer, and between even- and odd-integer, spins.
UR - http://www.scopus.com/inward/record.url?scp=4243780937&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243780937&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.61.1029
DO - 10.1103/PhysRevLett.61.1029
M3 - Article
C2 - 10039496
AN - SCOPUS:4243780937
SN - 0031-9007
VL - 61
SP - 1029
EP - 1032
JO - Physical review letters
JF - Physical review letters
IS - 8
ER -