Recently multiple families of spin chain models were found, which have a free fermionic
spectrum, even though they are not solvable by a Jordan-Wigner transformation. Instead, the …

The Jordan-Wigner transformation is frequently utilised to rewrite quantum spin chains in
terms of fermionic operators. When the resulting Hamiltonian is bilinear in fermions, ie the …

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) …

Abstract The Jordan-Wigner transformation is frequently utilised to rewrite quantum spin
chains in terms of fermionic operators. When the resulting Hamiltonian is bilinear in these …

-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 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 …