Geodesic
Bloch Hamiltonians and topologically ordered states
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 220-228

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We consider a universal representation for the Hamiltonian of systems in topologically ordered phase states. We show that for strongly correlated electronic systems, the Hamiltonian expressed in terms of projectors of the Temperley–Lieb algebra on the spin singlet state has the form of a two-dimensional Bloch matrix in the case of doubly linked excitation world lines; in this case, different topological orderings are separated by a quantum critical point where the matrix elements of the Hamiltonian vanish.
Keywords: topologically ordered states, quantum phase transition, Temperley–Lieb algebra. 
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     author = {V. A. Verbus and L. Martina and A. P. Protogenov},
     title = {Bloch {Hamiltonians} and topologically ordered states},
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V. A. Verbus; L. Martina; A. P. Protogenov. Bloch Hamiltonians and topologically ordered states. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 220-228. http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a20/