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Results tagged with ising-model
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user 99789
The Ising model of ferromagnetism in statistical mechanics consists of discrete bimodal (+1 or −1) "spin" (moment) variables in a simple Hamiltonian interacting with their next neighbors on a lattice. The one-dimensional variant does not evince a phase transition, but the two-dimensional square-lattice one does. Use for analog and generalized discrete models on several lattices and dimensions.
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How can I say whether a Hamiltonian is integrable or not?
The transverse field Ising Hamiltonian $$ H = J\sum_{i=0}^{N}\sigma_{i}^{z}\sigma_{i+1}^{z}+h_{x}\sum_{i=0}^{N}\sigma_{i}^{x} $$ is integrable because it can be exactly solved using Jordan Wigner tra …
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How can I say whether a Hamiltonian is integrable or not?
One cannot decide the integrability just by looking at the form of the Hamiltonian. The spacings in the spectrum of the Hamiltonian needs to be calculated and depending on the mean level spacings in t …
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