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Coupled wire construction of a topological phase with chiral tricritical Ising edge modes | | Chengshu Li
; Hiromi Ebisu
; Sharmistha Sahoo
; Yuval Oreg
; Marcel Franz
; | | Date: |
11 Aug 2020 | | Abstract: | Tricritical Ising (TCI) phase transition is known to occur in several
interacting spin and Majorana fermion models and is described in terms of a
supersymmetric conformal field theory (CFT) with central charge $c=7/10$. The
field content of this CFT is highly nontrivial and includes among its primary
fields the Fibonacci anyon, making it of potential interest to strategies
seeking to implement fault-tolerant topological quantum computation with
non-Abelian phases of matter. In this paper we explore the possibility that a
TCI CFT can occur at the edge of a gapped two-dimensional topological state as
a stable phase. We discuss a possible realization of this 2D phase based on a
coupled-wire construction using the Grover-Sheng-Vishwanath chain model
[Science 344, 280 (2014)] of Majorana zero modes coupled to Ising spins which
is known to undergo the TCI phase transition. From the combined analysis using
mean-field theory, conformal field theory and density matrix renormalization
group (DMRG) on 2- and 4-leg ladders, we find that the left- and right-moving
gapless TCI modes become spatially separated and reside on two opposite edges
of the system, forming a precursor of the required 2D topological phase. | | Source: | arXiv, 2008.04438 | | Services: | Forum | Review | PDF | Favorites | |
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