Eight-vertex criticality in the interacting Kitaev chain
Physical Review B American Physical Society (APS) 107:8 (2023) L081106
From Kosterlitz-Thouless to Pokrovsky-Talapov transitions in spinless fermions and spin chains with next-nearest-neighbor interactions
Physical Review Research American Physical Society (APS) 4:4 (2022) 043225
Topological and quantum critical properties of the interacting Majorana chain model
ArXiv 2211.15598 (2022)
Conformal and chiral phase transitions in Rydberg chains
Physical Review Research 4:4 (2022)
Abstract:
Using density matrix renormalization group simulations on open chains, we map out the wave vector in the incommensurate disordered phase of a realistic model of Rydberg chains with 1/r6 interactions, and we locate and characterize the points along the commensurate lines where the transition out of the period 3 and 4 phases is conformal. We confirm that it is three-state Potts for the period-3 phase, and we show that it is Ashkin-Teller with ν≃0.80 for the period-4 phase. We further show that close to these points, the transition is still continuous, but with a completely different scaling of the wave vector, in agreement with a chiral transition. Finally, we propose to use the conformal points as benchmarks for Kibble-Zurek experiments, defining a roadmap towards a conclusive identification of the chiral universality class.From Kosterlitz-Thouless to Pokrovsky-Talapov transitions in spinless fermions and spin chains with next-nearest neighbour interactions
ArXiv 2209.1039 (2022)