Partons from stabilizer codes
The Gutzwiller projection of fermionic wave functions is a well-established method for generating variational wave functions describing exotic states of matter, such as quantum spin liquids. We investigate the conditions under which a projected wave function constructed from fermionic partons can be rigorously shown to possess topological order. We demonstrate that these conditions can be precisely determined in the case of projected Majorana stabilizer codes. We then use matrix product states to study states that interpolate between two distinct Majorana fermion codes, one yielding a ${\mathbb{Z}}_{2}$ spin liquid and the other a trivial polarized state upon projection. While the free-fermion states are adiabatically connected, we find that the projected states undergo a phase transition detected by the topological entanglement entropy. Our work underscores the profound impact of the Gutzwiller projection and cautions against inferring properties of quantum spin liquids solely from their unprojected counterparts.
Authors
- Eric C. Andrade (ORCID: https://orcid.org/0000-0003-2016-8305)
- Rodrigo G. Pereira (ORCID: https://orcid.org/0000-0003-2767-8535)
- Rafael A. Macêdo (ORCID: https://orcid.org/0000-0001-5494-7732)
- Weslei Fontana (ORCID: https://orcid.org/0000-0001-8368-5997)
- Carlo C. Bellinati (ORCID: https://orcid.org/0000-0001-6157-6845)
Institutions
- Universidade de São Paulo (BR)
- National Tsing Hua University (TW)
- Universidade Federal do Rio Grande do Norte (BR)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2025-09-02
- DOI
- https://doi.org/10.1103/6nn5-vhj7
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- National Center for Theoretical Sciences
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Ministerio de Economía y Competitividad
- Ministério da Ciência, Tecnologia e Inovação
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Ministry of Science and Technology, Taiwan
- Financiadora de Estudos e Projetos
- Universidade Federal do Rio Grande do Norte