Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
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...
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| Format: | Journal article |
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SciPost Foundation
2019
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| _version_ | 1826291366687145984 |
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| author | Roy, S Logan, D |
| author_facet | Roy, S Logan, D |
| author_sort | Roy, S |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T02:58:19Z |
| format | Journal article |
| id | oxford-uuid:b012b2b7-6194-47c5-b6f0-9dc7bd602432 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:58:19Z |
| publishDate | 2019 |
| publisher | SciPost Foundation |
| record_format | dspace |
| spelling | oxford-uuid:b012b2b7-6194-47c5-b6f0-9dc7bd6024322022-03-27T03:53:50ZSelf-consistent theory of many-body localisation in a quantum spin chain with long-range interactionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b012b2b7-6194-47c5-b6f0-9dc7bd602432Symplectic Elements at OxfordSciPost Foundation2019Roy, SLogan, DMany-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. |
| spellingShingle | Roy, S Logan, D Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title | Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title_full | Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title_fullStr | Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title_full_unstemmed | Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title_short | Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions |
| title_sort | self consistent theory of many body localisation in a quantum spin chain with long range interactions |
| work_keys_str_mv | AT roys selfconsistenttheoryofmanybodylocalisationinaquantumspinchainwithlongrangeinteractions AT logand selfconsistenttheoryofmanybodylocalisationinaquantumspinchainwithlongrangeinteractions |