2014/09/03 by Matthew F. Lapa, Jeffrey C. Y. Teo, Taylor L. Hughes · 28 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Materials science #Mathematics #Quantum many-body systems #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.115131
published in Physical review. B./Physical review. B 93(11) (American Physical Society) · 7 pages, 2 figures
arxiv created 2014/09/03 · openalex publication_date 2016/03/18 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we provide a general mechanism for generating interaction-enabled fermionic topological phases. We illustrate the mechanism with crystalline symmetry-protected topological phases in one, two, and three spatial dimensions. These nontrivial phases require interactions for their existence, and in the cases we consider, the free-fermion classification yields only a trivial phase. For the one- and two-dimensional phases we consider, we provide explicit exactly solvable models which realize the interaction-enabled phases. Similar to the interpretation of the Kitaev Majorana wire as a mean-field p-wave superconductor Hamiltonian arising from an interacting model with quartic interactions, we show that our systems can be interpreted as ``mean-field'' charge-4e superconductors arising, e.g., from an interacting model with eight-body interactions or through another physical mechanism. The quartet superconducting nature allows for the teleportation of full Cooper pairs and, in two dimensions, for interesting semiclassical crystalline defects with non-Abelian anyon bound states.