Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Aksoy, Ömer"'
Projective symmetries are ubiquitous in quantum lattice models and can be leveraged to constrain their phase diagram and entanglement structure. In this paper, we investigate the consequences of projective algebras formed by non-invertible symmetries
Externí odkaz:
http://arxiv.org/abs/2409.18113
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 systematically study the gauging of finite Abelian modulated symmetries in $
Externí odkaz:
http://arxiv.org/abs/2406.12962
Publikováno v:
SciPost Phys. 17, 115 (2024)
Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particularly exotic class of generalized symmetries, in that they are implemente
Externí odkaz:
http://arxiv.org/abs/2405.05331
Publikováno v:
Phys. Rev. Research 6, 033205 (2024)
Topology is routinely used to understand the physics of electronic insulators. However, for strongly interacting electronic matter, such as Mott insulators, a comprehensive topological characterization is still lacking. When their ground state only c
Externí odkaz:
http://arxiv.org/abs/2404.11650
Publikováno v:
SciPost Phys. 16, 022 (2024)
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 paper). LSM theorems have recently been interpreted as the lattice count
Externí odkaz:
http://arxiv.org/abs/2308.00743
We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential mixed 't H
Externí odkaz:
http://arxiv.org/abs/2307.01266
Autor:
Aksoy, Ömer M., Chandrasekaran, Anirudh, Tiwari, Apoorv, Neupert, Titus, Chamon, Claudio, Mudry, Christopher
Publikováno v:
Phys. Rev. B 107, 205129 (2023)
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, one that requires cubic or higher-order terms to describe the electron
Externí odkaz:
http://arxiv.org/abs/2302.04877
Autor:
Aksoy, Ömer M., Mudry, Christopher
Publikováno v:
Phys. Rev. B 106, 035117 (2022)
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, nontrivial IFT phases support gapless boundary degrees of freedom. D
Externí odkaz:
http://arxiv.org/abs/2204.10333
Publikováno v:
Phys. Rev. B 104, 075146 (2021)
We prove two Lieb-Schultz-Mattis type theorems that apply to any translationally invariant and local fermionic $d$-dimensional lattice Hamiltonian for which fermion-number conservation is broken down to the conservation of fermion parity. We show tha
Externí odkaz:
http://arxiv.org/abs/2102.08389