| Texto completo | |
| Autor(es): |
Alcaraz, Francisco C.
;
Pimenta, Rodrigo A.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW B; v. 102, n. 12, p. 6-pg., 2020-09-02. |
| Resumo | |
We introduce a family of Z(N) multispin quantum chains with a free fermionic (N = 2) or free parafermionic (N > 2) eigenspectrum. The models have (p + 1) interacting spins (p = 1, 2, ...), which are Hermitian in the Z(2) (Ising) case and non-Hermitian for N > 2. We construct a set of mutually commuting charges that allows us to derive the eigenenergies in terms of the roots of polynomials generated by a recurrence relation of order (p + 1). In the critical limit we identify these polynomials with certain hypergeometric polynomials F-p+1(p). Also in the critical regime, we calculate the ground-state energy in the bulk limit and verify that they are given in terms of the Lauricella hypergeometric series. The models with special couplings are self-dual and at the self-dual point show a critical behavior with a dynamical critical exponent Z(c) = p+1/N. (AU) | |
| Processo FAPESP: | 17/02987-8 - Novos desenvolvimentos em cadeias quânticas de spin |
| Beneficiário: | Rodrigo Alves Pimenta |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |