Fractalization drives crystalline states in a frustrated spin system

Abstract

We measure a sequence of quantum Hall-like plateaux at 1/q: 9 >= q >= 2 and p/q = 2/9 fractions in the magnetisation with increasing magnetic field in the geometrically frustrated spin system SrCu2(BO3)2. We find that the entire observed sequence of plateaux is reproduced by solving the Hofstadter problem on the system lattice when short-range repulsive interactions are included, thus providing a sterling demonstration of bosons confined by a magnetic and lattice potential mimicking fermions in the extreme quantum limit.

14 pages, 3 figures

References in corpus (2)

• Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu${}_2$(BO${}_3$)${}_2$
• NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2

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• Reply to the Comment by S.E. Sebastian and N. Harrison