85 citations · 461 across the 23 of their papers we have counts for
23 papers
The -Racah polynomials from scalar products of Bethe states II
Pascal Baseilhac, Rodrigo A. Pimenta
The theory of Leonard triples is applied to the derivation of normalized scalar products of on-shell and off-shell Bethe states generated from a Leonard pair. The scalar products t…
Random free-fermion quantum spin chain with multi-spin interactions
Francisco C. Alcaraz, José A. Hoyos, Rodrigo A. Pimenta
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…
Ising analogues of quantum spin chains with multispin interactions
Francisco C. Alcaraz, Rodrigo A. Pimenta, Jesko Sirker
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 -- b…
The -Racah polynomials from scalar products of Bethe states
Pascal Baseilhac, Rodrigo A. Pimenta
The -Racah polynomials are expressed in terms of certain ratios of scalar products of Bethe states associated with Bethe equations of either homogeneous or inhomogeneous type. T…
Anomalous thermodynamics in a mixed spin-1/2 and spin-1 hexagonal nanowire system
R. A. Pimenta, O. Rojas, S. M. de Souza
The mixed spin-1/2 Ising model and spin-1 Blume-Capel model in an hexagonal nanowire structure under the presence of crystal field is considered. The free energy is obtained throug…
Free-parafermionic and free-fermionic quantum chains
Francisco C. Alcaraz, Rodrigo A. Pimenta
The relationship between the eigenspectrum of Ising and XY quantum chains is well known. Although the Ising model has a symmetry and the XY model a symmetry, both mod…