RKKY Interactions and the Anomalous Hall Effect in Metallic Rare-Earth PyrochloresLee, SungBin; Paramekanti, Arun; Kim, Yong
doi: 10.1103/PhysRevLett.111.196601pmid: 24266480
Motivated by experiments on Pr 2 Ir 2 O 7 , we consider metallic pyrochlore systems A 2 B 2 O 7 , where the A sites are occupied by rare-earth local moments and the B sites host 5 d transition metal ions with itinerant strongly spin-orbit coupled electrons. Assuming non-Kramers doublets on the A site, we derive the RKKY interaction between them mediated by the B -site itinerant electrons and find extended non-Heisenberg interactions. Analyzing a simplified model of the RKKY interaction, we uncover a local moment phase with coexisting spiral Ising-like magnetic dipolar and X Y -like quadrupolar ordering. This state breaks time-reversal and lattice symmetries, and reconstructs the B -site electronic band structure, producing a Weyl metallic phase with an intrinsic anomalous Hall effect and an undetectably small magnetization. <?format ?>We discuss implications of our results for Pr 2 Ir 2 O 7 .
Doubly Transient Chaos: Generic Form of Chaos in Autonomous Dissipative SystemsMotter, Adilson E; Gruiz, Márton E; Károlyi, György E; Tél, Tamás E
doi: 10.1103/PhysRevLett.111.194101pmid: 24266475
Chaos is an inherently dynamical phenomenon traditionally studied for trajectories that are either permanently erratic or transiently influenced by permanently erratic ones lying on a set of measure zero. The latter gives rise to the final state sensitivity observed in connection with fractal basin boundaries in conservative scattering systems and driven dissipative systems. Here we focus on the most prevalent case of undriven dissipative systems, whose transient dynamics fall outside the scope of previous studies since no time-dependent solutions can exist for asymptotically long times. We show that such systems can exhibit positive finite-time Lyapunov exponents and fractal-like basin boundaries which nevertheless have codimension one. In sharp contrast to its driven and conservative counterparts, the settling rate to the (fixed-point) attractors grows exponentially in time, meaning that the fraction of trajectories away from the attractors decays superexponentially. While no invariant chaotic sets exist in such cases, the irregular behavior is governed by transient interactions with transient chaotic saddles, which act as effective, time-varying chaotic sets.
Self-Assembly of Colloidal Superstructures in Coherently Fluctuating FieldsKulić, Igor; Kulić, Miodrag
doi: 10.1103/PhysRevLett.111.198301pmid: 24266491
From microscopic fluid clusters to macroscopic droplets, the structure of fluids is governed by the van der Waals force, a force that acts between polarizable objects. In this Letter, we derive a general theory that describes the nonequilibrium counterpart to the van der Waals force, which emerges in spatially coherently fluctuating electromagnetic fields. We describe the formation of a novel and complex hierarchy of self-organized morphologies in magnetic and dielectric colloid systems. Most striking among these morphologies are dipolar foams—colloidal superstructures that swell against gravity and display a high sensitivity to the applied field. We discuss the dominance of many-body forces and derive the equation of state for a material formed by the coherent van der Waals force. Our theory is applied to recent experiments in paramagnetic colloidal systems and a new experiment is suggested to test the theory.
Orientation Relations During the α - ω Phase Transition of Zirconium: In Situ Texture Observations at High Pressure and TemperatureWenk, H.-R; Kaercher, P; Kanitpanyacharoen, W; Zepeda-Alarcon, E; Wang, Y
doi: 10.1103/PhysRevLett.111.195701pmid: 24266478
Transition metals Ti, Zr, and Hf have a hexagonal close-packed structure ( α ) at ambient conditions, but undergo phase transformations with increasing temperature and pressure. Of particular significance is the high-pressure hexagonal ω phase which is brittle compared to the α phase. There has been a long debate about transformation mechanisms and orientation relations between the two crystal structures. Here we present the first high pressure experiments with in situ synchrotron x-ray diffraction texture studies on polycrystalline aggregates. We follow crystal orientation changes in Zr, confirming the original suggestion by Silcock for an α → ω martensitic transition for Ti, with ( 0001 ) α | | ( 11 2 ¯ 0 ) ω , and a remarkable orientation memory when ω reverts back to α .
Measurement of a Reaction-Diffusion Crossover in Exciton-Exciton Recombination <?format ?>inside Carbon Nanotubes Using Femtosecond Optical AbsorptionAllam, J.; Sajjad, M.; Sutton, R.; Litvinenko, K.; Wang, Z.; Siddique, S.; Yang, Q.-H.; Loh, W.; Brown, T.
doi: 10.1103/PhysRevLett.111.197401pmid: 24266488
Exciton-exciton recombination in isolated semiconducting single-walled carbon nanotubes was studied using femtosecond transient absorption. Under sufficient excitation to saturate the optical absorption, we observed an abrupt transition between reaction- and diffusion-limited kinetics, arising from reactions between incoherent localized excitons with a finite probability of ∼ 0.2 per encounter. This represents the first experimental observation of a crossover between classical and critical kinetics in a 1D coalescing random walk, which is a paradigm for the study of nonequilibrium systems.