Universal phase diagram of disordered bosons from a doped quantum magnet

Abstract

A quantum particle cannot in general diffuse through a disordered medium because of its wavelike nature, but interacting particles can escape localization by collectively percolating through the system. For bosonic particles this phenomenon corresponds to a quantum transition from a localized insulator phase - the Bose glass - to a superfluid phase, in which particles condense into an extended state. Here, we construct a universal phase diagram of disordered bosons in doped quantum magnets for which bosonic quasi-particles are represented by magnetized states (spin triplets) of the quantum spins, condensing into a magnetically ordered state. The appearance of a Bose glass leads to strong measurable signatures in the onset of superfluidity of the spin-triplet gas, exhibiting a complex crossover from low-temperature quantum percolation to a conventional condensation transition at intermediate temperatures.

4 pages, 4 figures

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Cited by in corpus (22)

• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
• Dirty-boson physics with magnetic insulators
• Field-induced criticality in a gapped quantum magnet with bond disorder
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Criticality in a disordered quantum antiferromagnet by neutron diffraction
• Disorder instability of the magnon condensate in a frustrated spin ladder
• Critical exponents and intrinsic broadening of the field-induced transition in NiCl${}_2$$\cdot$4SC(NH${}_2$)${}_2$
• Magnetic responses of randomly depleted spin ladders
• Localization of disordered bosons and magnets in random fields
• Magnetic Bose glass phases of coupled antiferromagnetic dimers with site dilution
• Quench Spectroscopy of a Disordered Quantum System
• Competing Bose-Glass physics with disorder-induced Bose-Einstein condensation in the doped $S=1$ antiferromagnet Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at high magnetic fields
• Magnetically ordered phase near transition to Bose-glass phase
• Local Density of the Bose Glass Phase
• Bond Disorder in Even-Leg Heisenberg Ladders
• Quantum transition between magnetically ordered and Mott glass phases
• Field-induced ordering in a random-bond quantum spin ladder compound with weak anisotropy
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Quantum transitions from superfluid to insulating phases in disordered Bose systems
• Quantum-critical scaling at the Bose-glass transition of the 3d diluted Heisenberg antiferromagnet in a field