369 citations · 1.3k across the 17 of their papers we have counts for
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Stochastic strong zero modes and their dynamical manifestations
Katja Klobas, Paul Fendley, Juan P. Garrahan
Strong zero modes (SZMs) are conserved operators localised at the edges of certain quantum spin chains, which give rise to long coherence times of edge spins. Here we define and an…
Topological Defects on the Lattice: Dualities and Degeneracies
David Aasen, Paul Fendley, Roger S. K. Mong
We construct topological defects in two-dimensional classical lattice models and quantum chains. The defects satisfy local commutation relations guaranteeing that the partition fun…
Self-dual -invariant quantum chains
Edward O'Brien, Paul Fendley
We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and , time-reversal, and parity symmetries. We find a rich phase diagram including ga…
The "not-A", RSPT and Potts phases in an -invariant chain
Edward O'Brien, Eric Vernier, Paul Fendley
We analyse in depth an -invariant nearest-neighbor quantum chain in the region of a U(1)-invariant self-dual multicritical point. We find four distinct proximate gapped phases…
Free fermions in disguise
Paul Fendley
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…
Onsager symmetries in -invariant clock models
Eric Vernier, Edward O'Brien, Paul Fendley
We show how the Onsager algebra, used in the original solution of the two-dimensional Ising model, arises as an infinite-dimensional symmetry of certain self-dual models that also…