1.
Phys Rev E
; 106(2-1): 024114, 2022 Aug.
Article
in English
| MEDLINE
| ID: mdl-36109917
ABSTRACT
In this paper we write exactly solvable generalizations of one-dimensional quantum XY and Ising-like models by using 2^{d}-dimensional gamma matrices as the degrees of freedom on each site. We show that these models result in quadratic Fermionic Hamiltonians with Jordan-Wigner-like transformations. We illustrate the techniques using a specific case of four-dimensional gamma matrices and explore the quantum phase transitions present in the model.