WebMar 29, 2024 · First, commuting projector Hamiltonians can be obtained if the local bosonic or fermionic degrees of freedom are replaced by anyonic (and therefore nonlocal) excitations of an underlying chiral... WebSep 4, 2024 · By decorating the time-reversal domain walls with spinful Majorana chains, we are able to construct a commuting projector Hamiltonian with zero correlation length ground state wave function that realizes a strongly interacting version of the two-dimensional topological superconductor.
Fractional Hall conductivity and spin-c structure in solvable lattice ...
WebFeb 1, 2024 · We present commuting projector Hamiltonian realizations of a large class of (3 + 1)D topological models based on mathematical objects called unitary G-crossed braided fusion categories. This construction comes with a wealth of examples from the literature of symmetry-enriched topological phases. The spacetime counterparts to our … WebSep 23, 2024 · All of the established ansatzes for fixed-point models imply the existence of a gapped boundary as well as a commuting-projector Hamiltonian. Thus, they fail to capture topological phases without a gapped boundary or commuting-projector Hamiltonian, most notably chiral topological phases in 2 + 1 dimensions. In this paper, … emchrs.ncalt nottinghamshire.pnn.police.uk
Discrete spin structures and commuting projector models for 2d ...
WebOne nice feature of a commuting projector Hamiltonian is that all the eigenvalues are integers, so that the issue of a promise gap does not arise: that is, given that the Hamiltonian is a sum of commuting projectors one knows that if the energy is greater than some given E 0 subscript 𝐸 0 E_{0} italic_E start_POSTSUBSCRIPT 0 end ... WebMar 6, 2024 · Commuting-projector Hamiltonians for chiral topological phases built from parafermions. We introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve $\mathbb {Z}_ {3}$ parafermion zero modes residing in a parent … WebJan 31, 2024 · We also show that for any local commuting projector Hamiltonian, the relative chiral central charge vanishes, while for free fermionic systems, it is related to the zero-temperature electric Hall conductance via the Wiedemann-Franz law. Received 9 October 2024; Revised 14 January 2024; em chord for mandolin