Dirty-boson physics with magnetic insulators

Abstract

We review recent theoretical and experimental efforts aimed at the investigation of the physics of interacting disordered bosons (so-called dirty bosons) in the context of quantum magnetism. The physics of dirty bosons is relevant to a wide variety of condensed matter systems, encompassing Helium in porous media, granular superconductors and ultracold atoms in disordered optical potentials, to cite a few. Nevertheless, the understanding of the transition from a localized, Bose-glass phase to an ordered, superfluid condensate phase still represents a fundamentally open problem. Still to be constructed is also a quantitative description of the highly inhomogeneous and strongly correlated phases connected by the transition. We discuss how disordered magnetic insulators in a strong magnetic field can provide a well controlled realization of the above transition. Combining numerical simulations with experiments on real materials can shed light on some fundamental properties of the critical behavior, such as the scaling of the critical temperature to condensation close to the quantum critical point.

References in corpus (19)

• Bose-Einstein Condensation in Magnetic Insulators
• Localization of preformed Cooper-pairs in disordered superconductors
• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Anderson localization in Bose-Einstein condensates
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Phase transition of one dimensional bosons with strong disorder
• Spin-resonance modes of the spin-gap magnet TlCuCl_3
• Phase transition of interacting disordered bosons in one dimension
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Particle-hole symmetry and the dirty boson problem
• Consequences of spin-orbit coupling for the Bose-Einstein condensation of magnons
• Field-driven phase transitions in a quasi-two-dimensional quantum antiferromagnet
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Criticality in a disordered quantum antiferromagnet by neutron diffraction
• Disordered bosons in one dimension: from weak to strong randomness criticality
• Ordering in weakly coupled random singlet spin chains
• Structure and magnetic interactions in the solid solution Ba3-xSrxCr2O8
• Magnon BEC and Spin Superfluidity: a 3He primer

Cited by in corpus (50)

• Critical Exponents of the Superfluid-Bose Glass Transition in Three-Dimensions
• Critical Properties of the Superfluid - Bose Glass Transition in Two Dimensions
• Pressure-induced quantum critical and multicritical points in a frustrated spin liquid
• Controlling magnetic order and quantum disorder in one- and zero-dimensional molecule-based magnets
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• Many-body localization as a large family of localized ground states
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Criticality in a disordered quantum antiferromagnet by neutron diffraction
• Superfluid/Bose-glass transition in one dimension
• A Near-Ideal Molecule-Based Haldane Spin-Chain
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Dynamics of a bond-disordered $S=1$ quantum magnet near $z=1$ criticality
• Critical exponents and intrinsic broadening of the field-induced transition in NiCl${}_2$$\cdot$4SC(NH${}_2$)${}_2$
• Nuclear Magnetic Resonance Reveals Disordered Level-Crossing Physics in the Bose-Glass Regime of the Br-doped Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ Compound at a High Magnetic Field
• Quantum magnetism in molecular spin ladders probed with muon-spin spectroscopy
• Field-concentration phase diagram of a quantum spin liquid with bond defects
• Localized and propagating excitations in gapped phases of spin systems with bond disorder
• Disorder-induced Revival of the Bose-Einstein Condensation in Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at High Magnetic Fields
• Impurities in weakly coupled quantum spin chains Sr${}_2$CuO${}_3$ and SrCuO${}_2$
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Quantum criticality in a three dimensional spin system at zero field and pressure
• From order to randomness: Onset and evolution of the random-singlet state in bond-disordered BaCu${}_2$(Si${}_{1-x}$Ge${}_x$)${}_2$O${}_7$ spin-chain compounds
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Quench Spectroscopy of a Disordered Quantum System
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• 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
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Chemical composition induced quantum phase transition in Cs${}_{1-x}$Rb${}_x$FeCl${}_3$
• Magnetically ordered phase near transition to Bose-glass phase
• Field-induced spin level crossings within a quasi-XY antiferromagnetic state in Ba${}_2$FeSi${}_2$O${}_7$
• The tunable quantum spin ladder Cu(Qnx)(Cl${}_{(1-x)}$Br${}_x$)${}_2$
• Effects of quantum impurity spins on the magnetic properties of zigzag and linear spin chains
• Effect of disorder on a pressure-induced $z=1$ magnetic quantum phase transition
• Quantum critical behavior of a three-dimensional superfluid-Mott glass transition
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy
• Self-consistent T-matrix approach to gap renormalization in quantum magnets with bond disorder
• Magnon spectrum and electron spin resonance in antiferromagnet with large single-ion easy plane anisotropy
• Single crystal growth and study of the magnetic properties of the mixed spin-dimer system Ba${}_{3-x}$Sr${}_x$Cr${}_2$O${}_8$
• Quantum transition between magnetically ordered and Mott glass phases
• Anomalous magnetic exchange in a dimerized quantum-magnet composed of unlike spin species
• 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
• Tuning the orbital-lattice fluctuations in the mixed spin-dimer system Ba${}_{3-x}$Sr${}_x$Cr${}_2$O${}_8$
• Quantum transitions from superfluid to insulating phases in disordered Bose systems
• Self-consistent T-matrix approach to Bose-glass in one dimension
• Quantum-critical scaling at the Bose-glass transition of the 3d diluted Heisenberg antiferromagnet in a field
• Easy-plane antiferromagnet in tilted field: gap in magnon spectrum and susceptibility
• Magnetodipolar interaction and quasiparticles delocalization in disordered quantum magnets
• Dzyaloshinskii-Moriya anisotropy effect on field-induced magnon condensation in kagome antiferromagnet $\alpha -C{u}_{3}Mg(OH{)}_{6}B{r}_2$