The free field approach to the higher rank XXZ chain with a boundary

Junpeng Cao, Hai-Qing Lin, Kangjie Shi +1 more

TAKEO KOJIMA, YAS-HIRO QUANO

The higher rank analog of the XXZ model with a boundary is considered on the basis of the vertex operator approach. We derive difference equations of the quantum Knizhnik–Zamolodchikov type for 2N-point correlations of the model. We present infinite product formulae of two point functions with free boundary condition by solving those difference equations with N=1.

Anastasia Doikou

Francisco Castilho Alcaraz, Michael N. Barber, Murray T. Batchelor +2 more

Eigenspectra of the critical quantum Ashkin-Teller and Potts chains with free boundaries can be obtained from that of the XXZ chain with free boundaries and a complex surface field. By deriving and solving numerically the Bethe ansatz equations for such boundaries the authors obtain eigenenergies of XXZ chains of up to 512 sites. The conformal anomaly and surface exponents of the quantum XXZ, Ashkin-Teller, and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.

Anastasia Doikou

Gunter Markus Schutz, Vladislav Popkov, Dragi Karevski