Kavli Affiliate: Long Zhang
| First 5 Authors: Chen Peng, Long Zhang, , ,
| Summary:
In this work, we study the scaling relation of energy and length scales in
the 2D random-singlet (RS) state of the random $Q$ model. To investigate the
intrinsic energy scale of the spinon subsystem arising from the model, we
develop a constrained subspace update algorithm within the framework of the
stochastic series expansion method (SSE) to extract the singlet-triplet gap of
the system. The 2D RS state exhibits scaling behavior similar to the infinite
randomness fixed point (IRFP), at least within the length scales that we
simulate. Furthermore, by rescaling the system size according to the strength
of randomness, we observe that the data for the excitation gap and the width of
the gap distribution collapse onto a single curve. This implies that the model
with different strengths of randomness may correspond to the same fixed point.
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