Quantum Antiferromagnet at Finite Temperature: A Gauge Field Approach

Physics – Condensed Matter

Scientific paper

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REVTEX 3.0, 6 pages, TCSUH 93:085, 3 figures are available upon request from oleg@george.phys.uh.edu

Scientific paper

10.1103/PhysRevB.49.4368

Starting from the $CP^{N-1}$ model description of the thermally disordred phase of the $D=2$ quantum antiferromagnet, we examine the interaction of the Schwinger-boson spin-1/2 mean-field excitations with the generated gauge (chirality) fluctuations in the framework of the 1/N expansion. This interaction dramatically supresses the one-particle motion, but enhances the staggered static susceptibility. This means that actual excitations in the system are represented by the collective spin-1 excitations, whereas one-particle excitations disappear from the problem. We also show that massive fluctuations of the constraint field are significant for the susceptibility calculations. A connection with the problem of a particle in random magnetic field is discussed.

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