Spin glasses, generally defined as disordered systems with randomized competing
interactions,, are a widely investigated complex system. Theoretical models describing spin …

A spin-glass system with a smooth or fractal outer surface is studied by renormalization-
group theory, in bulk spatial dimension d= 3. Independently varying the surface and bulk …

The random-field XY model is studied in spatial dimensions d= 3 and 4, and in between, as
the limit q→∞ of the q-state clock models, by the exact renormalization-group solution of the …

This work analyzes the spin‐glass transition across various Ising models relevant to
quantum annealers. By employing the parallel tempering method, the location of the spin …

The chiral spin-glass Potts system with q= 3 states is studied in d= 2 and 3 spatial
dimensions by renormalization-group theory and the global phase diagrams are calculated …

Using state-of-the-art electron-beam lithography, Ising-type nanomagnets may be defined
onto nearly any two-dimensional pattern imaginable. The ability to directly observe magnetic …

The phase transitions of random-field q-state Potts models in d= 3 dimensions are studied
by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently …

Nematic ordering, where the spins globally align along a spontaneously chosen axis
irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d= 3 …

By quenched-randomly mixing local units of different spatial dimensionalities, we have
studied Ising spin-glass systems on hierarchical lattices continuously in dimensionalities 1≤ …

A nematic phase, previously seen in the d= 3 classical Heisenberg spin-glass system,
occurs in the n-component cubic-spin spin-glass system, between the low-temperature spin …