Regensburg 2019 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 60: Quantum-Critical Phenomena (joint session TT/DY)
TT 60.9: Talk
Thursday, April 4, 2019, 17:15–17:30, H23
Quantum criticality on a chiral ladder: a model study — Philipp Schmoll1,2, •Andreas Haller1,2, Matteo Rizzi1, and Román Orús1,3,4 — 1Institute of Physics, Johannes Gutenberg University, 55099 Mainz, Germany — 2Graduate School Materials Science in Mainz, Staudingerweg 9, 55128 Mainz, Germany — 3Donostia International Physics Center, Paseo Manuel de Lardizabal 4, E-20018 San Sebastián, Spain — 4Ikerbasque Foundation for Science, Maria Diaz de Haro 3, E-48013 Bilbao, Spain
In our work we focus on exotic SU(2) invariant three-spin interactions which are exploited to engineer non-trivial helical phases in quasi one-dimensional ladder setups, also dubbed as wire deconstructionism. Such interactions are typically treated as a perturbation of the famous spin-1/2 Heisenberg model. Here, we extend the existing literature and tackle the non-perturbative low-energy regime by means of exact diagonalization, blockspin renormalization and bosonization. Our Luttinger Liquid (LL) analysis predicts a subtle gapping mechanism between two of the four helical modes in the ladder, which yields a critical model with central charge c=1. We support our analysis by numerical data obtained from an SU(2) symmetric implementation of the infinite Density Matrix Renormalization Group (iDMRG) algorithm.