Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent mean-field theory centring on the local propagator in Fock space and its associated self-energy, a localisation phase diagram is obtained as a function of the power-law exponents and the disorder strength of the random fields acting on longitudinal spin-components. Analytical results are corroborated using the well-studied and complementary numerical diagnostics of level statistics, entanglement entropy, and participation entropy, obtained via exact diagonalisation. We find that increasing the range of interactions between transverse spin components hinders localisation and enhances the critical disorder strength. In marked contrast, increasing the interaction range between longitudinal spin components is found to enhance localisation and lower the critical disorder.
Cited by 6
Andrii O. Maksymov et al., Many-body localization in spin chains with long-range transverse interactions: Scaling of critical disorder with system size
Phys. Rev. B 101, 024201 (2020) [Crossref]
Sthitadhi Roy et al., Strong ergodicity breaking due to local constraints in a quantum system
Phys. Rev. Research 2, 023159 (2020) [Crossref]
Alessio Lerose et al., Origin of the slow growth of entanglement entropy in long-range interacting spin systems
Phys. Rev. Research 2, 012041 (2020) [Crossref]
Ranjan Modak et al., Many-body dynamics in long-range hopping models in the presence of correlated and uncorrelated disorder
Phys. Rev. Research 2, 012074 (2020) [Crossref]
Sthitadhi Roy et al., Fock-space correlations and the origins of many-body localization
Phys. Rev. B 101, 134202 (2020) [Crossref]
Ranjan Modak et al., Many-body localization in a long-range model: Real-space renormalization-group study
Phys. Rev. E 101, 052108 (2020) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Sthitadhi Roy,
- 1 3 David E. Logan
- 1 University of Oxford
- 2 Rudolf Peierls Centre for Theoretical Physics, University of Oxford
- 3 भारतीय विज्ञान संस्थान / Indian Institute of Science Bangalore [IISc]