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arXiv · cond-mat/9212027

A Solvable Spin-Glass of Quantum Rotors

Jinwu Ye·Subir Sachdev·N. Read
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Abstract

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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Jinwu Ye, Subir Sachdev, N. Read. 1992-12-18. A Solvable Spin-Glass of Quantum Rotors. https://doi.org/10.1103/physrevlett.70.4011

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