3.4k citations · 11.3k across the 94 of their papers we have counts for
95 papers
Competing symmetry breaking and topology in quantum spin chains
Anthony Rey, Ömer M. Aksoy, Claudio Chamon +2
We investigate how spontaneous symmetry breaking and symmetry-protected topology compete and cooperate in one-dimensional quantum spin-1/2 systems. We introduce two families of loc…
Deconfined classical criticality in the anisotropic quantum spin- XY model on the square lattice
Christopher Mudry, Ömer M. Aksoy, Claudio Chamon +1
The anisotropic quantum spin-1/2 XY model on a linear chain was solved by Lieb, Schultz, and Mattis in 1961 and shown to display a continuous quantum phase transition at the O(2) s…
Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
Ömer M. Aksoy, Christopher Mudry, Akira Furusaki +1
Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be local in this pa…
Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
Shingo Kobayashi, Shuntaro Sumita, Motoaki Hirayama +1
Vortex lines in superconducting Dirac semimetals realize crystal-symmetry-protected gapless vortex-line phases in which gapless excitations propagate inside a vortex line, in the p…
Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
Yohei Fuji, Akira Furusaki
Three-dimensional (3D) gapped topological phases with fractional excitations are divided into two subclasses: one has topological order with point-like and loop-like excitations fu…
Gappability Index for Quantum Many-Body Systems
Yuan Yao, Masaki Oshikawa, Akira Furusaki
We propose an index which characterizes the degree of ingappability, namely the difficulty to induce a unique ground state with a nonvanishing excitation gap, in th…