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Triangular Ising antiferromagnet through a fermionic lens, part 2: information-theoretic aspects of zero-temperature states on cylinders
Amir Nourhani, Vincent H. Crespi, Paul E. Lammert
A classical lattice spin model wrapped on a cylinder is profitably viewed as a chain of rings of spins. From that perspective, mutual information between ring configurations plays…
Classical triangular lattice antiferromagnetic Ising model as a free-fermion/superconductor system
Amir Nourhani, Vincent H. Crespi, Paul E. Lammert
We present a treatment of the triangular lattice antiferromagnetic Ising model (TAFIM) based on a small number of elementary ideas common to statistical and solid-state physics. Th…
Communicating through a geometrically frustrated channel
Amir Nourhani, Vincent H. Crespi, Paul E. Lammert
We propose an intuitively appealing formulation of the zero-temperature triangular lattice Ising antiferromagnet (TIAFM) on a cylinder as a model of noninteracting fermions hopping…
Direct entropy determination and application to artificial spin ice
Paul E. Lammert, Xianglin Ki, Jie Li +4
From thermodynamic origins, the concept of entropy has expanded to a range of statistical measures of uncertainty, which may still be thermodynamically significant. However, labora…
Effective Temperature in an Interacting, Externally Driven, Vertex System: Theory and Experiment on Artificial Spin Ice
Cristiano Nisoli, Jie Li, Xianglin Ke +3
Frustrated arrays of interacting single-domain nanomagnets provide important model systems for statistical mechanics, because they map closely onto well-studied vertex models and a…
Helium mixtures in nanotube bundles
George Stan, Jacob M. Hartman, Vincent H. Crespi +2
An analogue to Raoult's law is determined for the case of a 3He-4He mixture adsorbed in the interstitial channels of a bundle of carbon nanotubes. Unlike the case of He mixtures in…