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2019

Free fermions in disguise

Fendley, Paul

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I solve a quantum chain whose Hamiltonian is comprised solely of local four-fermi operators by constructing free-fermion raising and lowering operators.

The free-fermion operators are both non-local and highly non-linear in the local fermions.
This construction yields the complete spectrum of the Hamiltonian and an associated classical transfer matrix.
The spatially uniform system is gapless with dynamical critical exponent z=3/2, while staggering the couplings gives a more conventional free-fermion model with an Ising transition.

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