Physics – Condensed Matter
Scientific paper
1992-12-18
Phys.Rev.Lett.70:4011,1993
Physics
Condensed Matter
13 pages, REVTEX, 1 figure available by request from subir@cmphys.eng.yale.edu
Scientific paper
10.1103/PhysRevLett.70.4011
We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum phase transition separating them is found to possess logarithmic violations of scaling, with no further modifications to the leading critical behavior at any order in $1/M$; this suggests that the critical properties of the transverse-field Ising model (believed to be identical to the $M\rightarrow 1$ limit) are the same as those of the $M=\infty$ quantum rotors.
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Sachdev Subir
Ye Jinwu
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