eprintid: 1455021 rev_number: 29 eprint_status: archive userid: 608 dir: disk0/01/45/50/21 datestamp: 2014-11-07 19:37:39 lastmod: 2021-10-05 00:43:10 status_changed: 2016-02-16 14:44:41 type: article metadata_visibility: show item_issues_count: 0 creators_name: Thomson, SJ creators_name: Krüger, F title: Replica symmetry breaking in the Bose glass ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F64 note: Copyright © EPLA, 2014. abstract: We investigate the nature of the Bose glass phase of the disordered Bose-Hubbard model in d > 2 and demonstrate the existence of a glass-like replica symmetry breaking (RSB) order parameter in terms of particle number fluctuations. Starting from a strong-coupling expansion around the atomic limit, we study the instability of the Mott insulator towards the formation of a Bose glass. We add some infinitesimal RSB, following the Parisi hierarchical approach in the most general form, and observe its flow under the momentum-shell renormalization group scheme. We find a new fixed point with one-step RSB, corresponding to the transition between the Mott insulator and a Bose glass phase with hitherto unseen RSB. The susceptibility associated to infinitesimal RSB perturbation in the Mott insulator is found to diverge at the transition with an exponent $\gamma=1/d$ . Our findings are consistent with the expectation of glassy behavior and the established breakdown of self-averaging. We discuss the possibility of measuring the glass-like order parameter in optical-lattice experiments as well as in certain spin systems that are in the same universality class as the Bose-Hubbard model. date: 2014-11 official_url: http://dx.doi.org/10.1209/0295-5075/108/30002 vfaculties: VMPS oa_status: green full_text_type: other language: eng primo: open primo_central: open_green verified: verified_manual elements_source: WoS-Lite elements_id: 992433 doi: 10.1209/0295-5075/108/30002 lyricists_name: Kruger, Frank lyricists_id: FKRUG35 full_text_status: public publication: EPL volume: 108 number: 3 article_number: 30002 issn: 0295-5075 citation: Thomson, SJ; Krüger, F; (2014) Replica symmetry breaking in the Bose glass. EPL , 108 (3) , Article 30002. 10.1209/0295-5075/108/30002 <https://doi.org/10.1209/0295-5075%2F108%2F30002>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1455021/1/Kruger_rsb_corr2.pdf