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Topological Aspects of an Exactly Solvable Spin Chain by Saket, Abhinav; Hassan, S. R.; Shankar, R. is a scholarly article available to read on EtoBox.

What is Topological Aspects of an Exactly Solvable Spin Chain about?

We analyse a spin-1/2 chain with two-spin interactions which shown to exactly solvable by Lieb, Schultz and Mattis. We show that the model can be viewed as a generalised Kitaev model that is analytically solvable for all defect sectors. We present an alternate proof that the defect free sector is the ground state, which is valid for a larger parameter range. We show that the defect sectors have degenerate ground states corresponding to unpaired Majorana fermion modes and that the degeneracy is topologically protected against disorder in the spin-spin couplings. The unpaired Majorana fermions can be manipulated by tuning the model parameters and can hence be used for topological quantum computation.

Author

Saket, Abhinav; Hassan, S. R.; Shankar, R.

Published

2013

Language

EN