@article{discovery1455021,
            year = {2014},
           month = {November},
          volume = {108},
          number = {3},
         journal = {EPL},
           title = {Replica symmetry breaking in the Bose glass},
            note = {Copyright {\copyright} EPLA, 2014.},
            issn = {0295-5075},
          author = {Thomson, SJ and Kr{\"u}ger, F},
             url = {http://dx.doi.org/10.1209/0295-5075/108/30002},
        abstract = {We investigate the nature of the Bose glass phase of the disordered Bose-Hubbard model in d {\ensuremath{>}} 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 \${$\backslash$}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.}
}