10,735 research outputs found
Comment on "Two Phase Transitions in the Fully frustrated XY Model"
The conclusions of a recent paper by Olsson (Phys. Rev. Lett. 75, 2758
(1995), cond-mat/9506082) about the fully frustrated XY model in two dimensions
are questioned. In particular, the evidence presented for having two separate
chiral and U(1) phase transitions are critically considered.Comment: One page one table, to Appear in Physical Review Letter
Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one
A knot in S^3 is said to have crosscap number two if it bounds a
once-punctured Klein bottle but not a Moebius band. In this paper we give a
method of constructing crosscap number two hyperbolic (1,2)-knots with tunnel
number one which are neither 2-bridge nor (1,1)-knots. An explicit infinite
family of such knots is discussed in detail.Comment: 31 pages, 11 figures. To appear in Topology and its Applications
(2008
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