Efimov effect in quantum magnets

Physics is said to be universal when it emerges regardless of the underlying microscopic details. A prominent example is the Efimov effect, which predicts the emergence of an infinite tower of three-body bound states obeying discrete scale invariance when the particles interact resonantly. Because of its universality and peculiarity, the Efimov effect has been the subject of extensive research in chemical, atomic, nuclear and particle physics for decades. Here we employ an anisotropic Heisenberg model to show that collective excitations in quantum magnets (magnons) also exhibit the Efimov effect. We locate anisotropy-induced two-magnon resonances, compute binding energies of three magnons and find that they fit into the universal scaling law. We propose several approaches to experimentally realize the Efimov effect in quantum magnets, where the emergent Efimov states of magnons can be observed with commonly used spectroscopic measurements. Our study thus opens up new avenues for universal few-body physics in condensed matter systems.Comment: 7 pages, 5 figures; published versio

mu+SR as a probe of anisotropy in low-dimensional molecular magnets

We describe how muon-spin rotation (mu+SR) can be particularly effective in determining the onset temperature of 3D ordering in low-dimensional molecular magnets, even when the low dimensionality means that this transition is masked in data from bulk thermodynamic probes such as heat capacity measurements. We illustrate the use of mu+SR with various copper-based magnets, including copper pyrazine dinitrate, Cu(C4H4N2)(NO3)(2), which orders below 0. 107 K, and also for the organic radical-ion salt DEOCC-TCNQF(4) which appears to be one of the most ideal examples of 1D S = 1/2 Heisenberg anti ferromagnets yet discovered. (c) 2007 Elsevier Ltd. All rights reserved

Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation

We demonstrate that quantum-critical spin dynamics can be probed in high magnetic fields using muon-spin relaxation (μ+SR). Our model system is the strong-leg spin ladder bis(2,3-dimethylpyridinium) tetrabromocuprate (DIMPY). In the gapless Tomonaga-Luttinger liquid phase we observe finite-temperature scaling of the μ+SR 1/T1 relaxation rate which allows us to determine the Luttinger parameter K. We discuss the benefits and limitations of local probes compared with inelastic neutron scattering

Two-dimensional XY behavior observed in quasi-two-dimensional quantum Heisenberg antiferromagnets

The magnetic properties of a family of molecular-based quasi-two- dimensional S=1/2 Heisenberg antiferromagnets are reported. Three compounds, [Cu (pz) 2 (ClO4) 2, Cu (pz) 2 (BF4) 2, and [Cu (pz) 2 (NO3)] (PF6)] contain similar planes of Cu2+ ions linked into magnetically square lattices by bridging pyrazine molecules (pz= C4 H4 N2). The anions provide charge balance as well as isolation between the layers. Single crystal measurements of susceptibility and magnetization, as well as muon-spin-relaxation studies, reveal low ratios of Néel temperatures to exchange strengths (4.25/17.5=0.243, 3.80/15.3=0.248, and 3.05/10.8=0.282, respectively) while the ratio of the anisotropy fields HA (kOe) to the saturation field HSAT (kOe) are small (2.6/490=5.3× 10-3, 2.4/430=5.5× 10-3, and 0.07/300=2.3× 10-4, respectively), demonstrating close approximations to a two-dimensional Heisenberg model. The susceptibilities of ClO4 and BF4 show evidence of an exchange-anisotropy crossover (Heisenberg to XY) at low temperatures; their ordering transitions are primarily driven by the XY behavior with the ultimate three-dimensional transition appearing parasitically. The PF6 compound remains Heisenberg type at all temperatures, with its transition to the Néel state due to the interlayer interactions. Effects of field-induced anisotropy have been observed. © 2009 The American Physical Society