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Samulon, E. C.; Shapiro, M. C.; Fisher, I. R.

doi:10.1103/physrevb.84.054417

Cited by 11 publications

(14 citation statements)

References 34 publications

(39 reference statements)

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“…In one experimental work, V was doped into the Mn site of Ba 3 Mn 2 O 8 . However, the experimental results were more consistent with a random dimer model (Samulon, Shapiro, and Fisher, 2011).…”

Section: A Disordersupporting

confidence: 69%

Bose-Einstein condensation in quantum magnets

2014

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This article reviews experimental and theoretical work on Bose-Einstein condensation in quantum magnets. These magnets are natural realizations of gases of interacting bosons whose relevant parameters such as dimensionality, lattice geometry, amount of disorder, nature of the interactions, and particle concentration can vary widely between different compounds. The particle concentration can be easily tuned by applying an external magnetic field which plays the role of a chemical potential. This rich spectrum of realizations offers a unique possibility for studying the different physical behaviors that emerge in interacting Bose gases from the interplay between their relevant parameters. The plethora of other bosonic phases that can emerge in quantum magnets, of which the Bose-Einstein condensate is the most basic ground state, is reviewed. The compounds discussed in this review have been intensively studied in the last two decades and have led to important contributions in the area of quantum magnetism. In spite of their apparent simplicity, these systems often exhibit surprising behaviors. The possibility of using controlled theoretical approaches has triggered the discovery of unusual effects induced by frustration, dimensionality, or disorder.

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Section: A Disordersupporting

confidence: 69%

Bose-Einstein condensation in quantum magnets

2014

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“…For instance, recent work on Ba 3 (Mn 1−x V x ) 2 O 8 powder samples indicates that there is no evidence for a phase transition and the singlet-triplet excitations persist for the V 5+ even if they are replaced at a medium level (x=0.3). 28,29 Here we report the effects of chemical substitution in the diluted system Ba 3 (Cr 1−x V x ) 2 O 8 with x=0.06, 0.15, and 0.53. At room temperature, the parent compound, Ba 3 Cr 2 O 8 , crystallizes in a hexagonal structure with space group R 3m as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Structural and magnetic properties in the quantum S=1/2 dimer systems Ba3(Cr1-xVx)2O8 with site disorder

Hong,

Zhu,

et al. 2013

Preprint

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We report a comprehensive study of dc susceptibility, specific heat, neutron diffraction, and inelastic neutron scattering measurements on polycrystalline Ba3(Cr1−xVx)2O8 samples, where x=0, 0.06, 0.15, and 0.53. A Jahn-Teller structure transition occurs for x=0, 0.06, and 0.15 samples and the transition temperature is reduced upon vanadium substitution from 70(2) K at x=0 to 60(2) K at x=0.06 and 0.15. The structure becomes less distorted as x increases and such transition disappears at x=0.53. The observed magnetic excitation spectrum indicates that the singlet ground state remains unaltered and spin gap energy ∆=1.3(1) meV is identical within the instrument resolution for all x. In addition, the dispersion bandwidth W decreases with increase of x. At x=0.53, W is reduced to 1.4(1) meV from 2.0(1) meV at x=0.

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“…Condensation of these bosons corresponds to exotic magnetically ordered states seen in materials such as [18][19][20]. These systems provide excellent experimental setups to probe quantum critical behavior through field-and pressuretuning, and have motivated some notable theoretical works based on bond-operator techniques [21][22][23][24].…”

mentioning

confidence: 99%

“…We also expect to see characteristic differences in the glassy dynamics, which could be studied with µSR, as well as in the magnetic excitation spectra. Dimer systems exhibiting geometric frustration are a particularly intriguing theoretical problem for further study, as are additional types of disorder such as non-magnetic impurities [20].…”

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confidence: 99%

Bose and Mott glass phases in dimerized quantum antiferromagnets

Thomson

Krüger

2015

Phys. Rev. B

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We examine the effects of disorder on dimerized quantum antiferromagnets in a magnetic field, using the mapping to a lattice gas of hard-core bosons with finite-range interactions. Combining a strong-coupling expansion, the replica method, and a one-loop renormalization group analysis, we investigate the nature of the glass phases formed. We find that away from the tips of the Mott lobes, the transition is from a Mott insulator to a compressible Bose glass, however the compressibility at the tips is strongly suppressed. We identify this finding with the presence of a rare Mott glass phase not previously described by any analytic theory for this model and demonstrate that the inclusion of replica symmetry breaking is vital to correctly describe the glassy phases. This result suggests that the formation of Bose and Mott glass phases is not simply a weak localization phenomenon but is indicative of much richer physics. We discuss our results in the context of both ultracold atomic gases and spin-dimer materials. The disordered Bose-Hubbard model is an ideal system for the thorough study of the effects of disorder on strongly interacting quantum systems. Ultracold atoms in optical lattices [1][2][3][4][5] perhaps offer the most direct experimental system in which to realize Bose-Hubbard physics, however the small system sizes and destructive nature of many measurements limit the efficacy of experiments. Dimerized quantum antiferromagnets present a compelling alternative environment due to an exact mapping to a lattice gas of bosons with hard-core repulsion [6][7][8]. These systems consist of lattices of pairs of spins (dimers) which, in the ground state, are all in a singlet configuration. This state can be viewed as an 'empty' lattice while a local triplet excitation can be thought of as a site occupied by a spin-1 boson ('triplon').Condensation of these bosons corresponds to exotic magnetically ordered states seen in materials such as [18][19][20]. These systems provide excellent experimental setups to probe quantum critical behavior through field-and pressuretuning, and have motivated some notable theoretical works based on bond-operator techniques [21][22][23][24].Recent experiments on disordered quantum antiferromagnets have seen evidence for novel glassy phases, particularly in bromine-doped dichloro-tetrakis-thioureanickel (DTN) [25] where both Bose and Mott glass phases of bosonic quasiparticles have been observed. Such phases have also been seen in other materials [26][27][28][29] and in quantum Monte Carlo simulations [30][31][32][33][34].Motivated by these experimements, in this Letter we present an analytic treatment of dimerized quantum antiferromagnets with weak intra-dimer bond disorder us- ing the hard-core boson formalism. We perform a strong coupling expansion [35,36] combined with a replica disorder average to derive an effective field theory. From a renormalization group (RG) analysis we obtain the phase boundaries between the gapped magnetic states -or in boson language, incompressible Mott ins...

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Heat capacity of the site-diluted spin dimer system Ba3(Mn1−xVx

Cited by 11 publications

References 34 publications

Bose-Einstein condensation in quantum magnets

Bose-Einstein condensation in quantum magnets

Structural and magnetic properties in the quantum S=1/2 dimer systems Ba3(Cr1-xVx)2O8 with site disorder

Bose and Mott glass phases in dimerized quantum antiferromagnets

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