Fractalization drives crystalline states in a frustrated spin system

Details Fractalization drives crystalline states in a frustrated spin system Fractalization drives crystalline states in a frustrated spin system

2007-07-13

arxiv.org/abs/0707.2075v2

PNAS 105, 20157 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 3 figures

Scientific paper

10.1073/pnas.0804320105

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.

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