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arxiv: cond-mat/9212030 · v1 · submitted 1992-12-21 · ❄️ cond-mat

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Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet

Subir Sachdev , Jinwu Ye
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classification ❄️ cond-mat
keywords omegaquantumspin-fluidstategaplessgroundheisenberglarge
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We examine the spin-$S$ quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions. The quantum-disordered phase is accessed by generalizing to $SU(M)$ symmetry and studying the large $M$ limit. For large $S$ the ground state is a spin-glass, while quantum fluctuations produce a spin-fluid state for small $S$. The spin-fluid phase is found to be generically gapless - the average, zero temperature, local dynamic spin-susceptibility obeys $\bar{\chi} (\omega ) \sim \log(1/|\omega|) + i (\pi/2) \mbox{sgn} (\omega)$ at low frequencies. This form is identical to the phenomenological `marginal' spectrum proposed by Varma {\em et. al.\/} for the doped cuprates.

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