Journal
NATURE PHYSICS
Volume 12, Issue 2, Pages 162-+Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/NPHYS3520
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Funding
- US Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division [DE-SC0010778]
- US Department of Energy at LANL [DE-AC52-06NA253962]
- National Science Foundation through UMN MRSEC [DMR-1420013]
- EU Marie Curie IOF project [299376]
- Office of Science, Office of Basic Energy Sciences of the US Department of Energy [DE-AC02-05CH11231]
- U.S. Department of Energy (DOE) [DE-SC0010778] Funding Source: U.S. Department of Energy (DOE)
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Reducing the dimensionality of a physical system can have a profound effect on its properties, as in the ordering of low-dimensional magnetic materials(1), phonon dispersion in mercury chain salts(2), sliding phases(3), and the electronic states of graphene(4). Here we explore the emergence of quasi-one-dimensional behaviour in two-dimensional artificial spin ice, a class of lithographically fabricated nanomagnet arrays used to study geometrical frustration(5-7). We extend the implementation of artificial spin ice by fabricating a new array geometry, the so-called tetris lattice(8) . We demonstrate that the ground state of the tetris lattice consists of alternating ordered and disordered bands of nanomagnetic moments. The disordered bands can be mapped onto an emergent thermal one-dimensional Ising model. Furthermore, we show that the level of degeneracy associated with these bands dictates the susceptibility of island moments to thermally induced reversals, thus establishing that vertex frustration can reduce the relevant dimensionality of physical behaviour in a magnetic system.
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