Stability against contact interactions of a topological superconductor in two-dimensional space protected by time-reversal and reflection symmetries

no code implementations • 27 Jan 2021 • Ömer M. Aksoy, Jyong-Hao Chen, Shinsei Ryu, Akira Furusaki, Christopher Mudry

We study the stability of topological crystalline superconductors in the symmetry class DIIIR and in two-dimensional space when perturbed by quartic contact interactions.

Strongly Correlated Electrons

Parafermionization, bosonization, and critical parafermionic theories

no code implementations • 14 Dec 2020 • Yuan YAO, Akira Furusaki

We formulate a $\mathbb{Z}_k$-parafermionization/bosonization scheme for one-dimensional lattice models and field theories on a torus, starting from a generalized Jordan-Wigner transformation on a lattice, which extends the Majorana-Ising duality at $k=2$.

Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory Mathematical Physics Mathematical Physics