31 citations · 85 across the 6 of their papers we have counts for
7 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…
Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
Salvatore D. Pace, Guilherme Delfino, Ho Tat Lam +1
Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated way and are generalizations of, for example, dipole symmetries. In this paper, we system…
Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry
Martina O. Soldini, Ömer M. Aksoy, Titus Neupert
Topology is routinely used to understand the physics of electronic insulators. However, for strongly interacting electronic matter, such as Mott insulators, a comprehensive topolog…
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…
Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries
Heidar Moradi, Ömer M. Aksoy, Jens H. Bardarson +1
We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions and 3. Doing so, we naturally uncover ga…
Single monkey-saddle singularity of a Fermi surface and its instabilities
Ömer M. Aksoy, Anirudh Chandrasekaran, Apoorv Tiwari +3
Fermi surfaces can undergo sharp transitions under smooth changes of parameters. Such transitions can have a topological character, as is the case when a higher-order singularity,…
Elementary derivation of the stacking rules of invertible fermionic topological phases in one dimension
Ömer M. Aksoy, Christopher Mudry
Invertible fermionic topological (IFT) phases are gapped phases of matter with nondegenerate ground states on any closed spatial manifold. When open boundary conditions are imposed…