We show that interactions can drive a class of higher order topological superconductors (HOTSCs) into symmetry-enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting HOTSCs realize various topologically ordered surface and color codes. In three dimensions, interactions can drive HOTSCs protected by subsystem symmetries into recently discovered fracton phases. We explicitly relate fermion parity operators underlying the gapless excitations of the HOTSC to the Wilson algebra of symmetry-enriched quantum codes. Arrays of crossed Majorana wires provide an experimental platform for realizing fracton matter and for probing the quantum phase transition between HOTSCs and the ...
The modern understanding of topological insulators is based on Wannier obstructions in position spac...
We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inv...
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order...
We show that interactions can drive a class of higher order topological superconductors (HOTSCs) int...
Fathoming interplay between symmetry and topology of many-electron wave functions has deepened our u...
We introduce an exactly solvable model of interacting Majorana fermions realizing Z_{2} topological ...
We propose a general principle for constructing higher-order topological (HOT) phases. We argue that...
Topological phenomena in condensed matter physics have been investigated intensively in the past dec...
We find a series of topological phase transitions of increasing order, beyond the more standard seco...
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological...
Quantum anomalies, breakdown of classical symmetries by quantum effects, provide a sharp definition ...
We propose a tune-free scheme to realize Kramers pairs of Majorana bound states in recently discover...
The notion of higher-order topological phases can have interesting generalizations to systems with s...
Topological order is now being established as a central criterion for characterizing and classifying...
Topological phenomena in physical systems are determined by topological structures and are thus univ...
The modern understanding of topological insulators is based on Wannier obstructions in position spac...
We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inv...
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order...
We show that interactions can drive a class of higher order topological superconductors (HOTSCs) int...
Fathoming interplay between symmetry and topology of many-electron wave functions has deepened our u...
We introduce an exactly solvable model of interacting Majorana fermions realizing Z_{2} topological ...
We propose a general principle for constructing higher-order topological (HOT) phases. We argue that...
Topological phenomena in condensed matter physics have been investigated intensively in the past dec...
We find a series of topological phase transitions of increasing order, beyond the more standard seco...
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological...
Quantum anomalies, breakdown of classical symmetries by quantum effects, provide a sharp definition ...
We propose a tune-free scheme to realize Kramers pairs of Majorana bound states in recently discover...
The notion of higher-order topological phases can have interesting generalizations to systems with s...
Topological order is now being established as a central criterion for characterizing and classifying...
Topological phenomena in physical systems are determined by topological structures and are thus univ...
The modern understanding of topological insulators is based on Wannier obstructions in position spac...
We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inv...
We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order...