We study the effects of quenched disorder in a class of quantum chains with (p+ 1)-multispin
interactions exhibiting a free fermionic spectrum, paying special attention to the case p= 2 …

A new family of free fermionic quantum spin chains with multispin interactions was recently
introduced. Here we show that it is possible to build standard quantum Ising chains—but …

We show that a quantum spin system has an exact description by non-interacting fermions if
its frustration graph is claw-free and contains a simplicial clique. The frustration graph of a …

In this article we outline the historical development and key results obtained to date for free
parafermionic spin chains. The concept of free parafermions provides a natural N-state …

We calculate the spectral properties of two related families of non-Hermitian free-particle
quantum chains with N-multispin interactions (N= 2, 3,...). The first family have a Z (N) …

Quantifying entanglement of multiple subsystems is a challenging open problem in
interacting quantum systems. Here, we focus on two subsystems of length ℓ separated by a …

-symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via
a parafermionic generalization of the Clifford algebra. We study these models with spatially …

We show that a quantum spin system has an exact free-parafermion solution if its frustration
graph is an oriented indifference graph. Further, we show that if the frustration graph of a …

We consider quantum spin chains with a hidden free fermionic structure, distinct from the
Jordan-Wigner transformation and its generalizations. We express selected local operators …

A family of $\mathbb Z_n $-symmetric non-Hermitian models of Baxter was shown by
Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We …