334 citations · 3k across the 117 of their papers we have counts for
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Polyhexatic and Polycrystalline States of Skyrmion Lattices
Dmitry A. Garanin, Eugene M. Chudnovsky
Abstract We report Monte Carlo studies of lattices of up to skyrmions treated as particles with negative core energy and repulsive interaction obtained from a microscopic…
Scaling of Coercivity in a 3d Random Anisotropy Model
Thomas C. Proctor, Eugene M. Chudnovsky, Dmitry A. Garanin
The random-anisotropy Heisenberg model is numerically studied on lattices containing over ten million spins. The study is focused on hysteresis and metastability due to topological…
Ordered vs Disordered States of the Random-Field Model in Three Dimensions
D. A. Garanin, E. M. Chudnovsky
We report numerical investigation of the glassy behavior of random-field exchange models in three dimensions. Correlation of energy with the magnetization for different numbers of…
Random Fields, Topology, and The Imry-Ma Argument
Thomas C. Proctor, Dmitry A. Garanin, Eugene M. Chudnovsky
We consider -component fixed-length order parameter interacting with a weak random field in dimensions. Relaxation from the initially ordered state and spin-spin corre…
Random Field XY Model in Three Dimensions: The Role of Vortices
D. A. Garanin, E. M. Chudnovsky, T. Proctor
We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with…
Dipolar Ordering and Quantum Dynamics of Domain Walls in Mn-12 Acetate
D. A. Garanin, E. M. Chudnovsky
We find that dipolar interactions favor ferromagnetic ordering of elongated crystals of Mn12 Acetate below 0.8 K. Ordered crystals must possess domain walls. Motion of the wall cor…