2019
DOI: 10.21468/scipostphys.7.4.042
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Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions

Abstract: 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 selfconsistent 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. Analytica… Show more

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Cited by 53 publications
(50 citation statements)
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References 73 publications
(128 reference statements)
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“…(32) is known to be characteristic of the many-body localised phase [35,36]. It is both interesting and reasuring to note that this distribution, as well as the localisation criterion, are formally the same as those obtained for disordered quantum systems with local interactions, 4 both short and long-ranged [35,36]. In these previous works, similar to the current one, the analysis was performed after rescaling all energy scales with √ N .…”
Section: Maximally Correlated Limitsupporting
confidence: 55%
See 4 more Smart Citations
“…(32) is known to be characteristic of the many-body localised phase [35,36]. It is both interesting and reasuring to note that this distribution, as well as the localisation criterion, are formally the same as those obtained for disordered quantum systems with local interactions, 4 both short and long-ranged [35,36]. In these previous works, similar to the current one, the analysis was performed after rescaling all energy scales with √ N .…”
Section: Maximally Correlated Limitsupporting
confidence: 55%
“…The long-tailed (∝ y −3/2 ) Lévy distribution obtained for F y in Eq. (32) is known to be characteristic of the many-body localised phase [35,36]. It is both interesting and reasuring to note that this distribution, as well as the localisation criterion, are formally the same as those obtained for disordered quantum systems with local interactions, 4 both short and long-ranged [35,36].…”
Section: Maximally Correlated Limitmentioning
confidence: 53%
See 3 more Smart Citations