From
SU
(
2
)
5
to
SU
(
2
)
3
Wess-Zumino-Witten transitions in a frustrated spin-
5
2
chain
Physical Review B American Physical Society (APS) 105:17 (2022) 174402
Critical properties of quantum three- And four-state Potts models with boundaries polarized along the transverse field
Scipost Physics Core 5:2 (2022)
Abstract:
By computing the low-lying energy excitation spectra with the density matrix renormalization group algorithm we show that boundaries polarized in the direction of the transverse field lead to scale-invariant conformal towers of states at the critical point of the quantum four-state Potts model - a special symmetric case of the Ashkin-Teller model. Furthermore, by direct comparison of the excitation spectra we phenomenologically establish the duality between the transverse-polarized and three-state-mixed boundary conditions at the four-state Potts critical point. Finally, for completeness, we verify that in the quantum three-state Potts model the "new" boundary conditions dual to the mixed ones can be realized by polarizing edge spins along the transverse field.From SU(2)$_5$ to SU(2)$_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
ArXiv 2202.05087 (2022)