Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields

We develop a theory of the magneto-optical and magneto-electric properties of a topological insulator thin film in the presence of a quantizing external magnetic field. We find that low-frequency magneto-optical properties depend only on the sum of top and bottom surface Dirac-cone filling factors $\nu_{\mathrm{T}}$ and $\nu_{\mathrm{B}}$, whereas the low-frequency magneto-electric response depends only on the difference. The Faraday rotation is quantized in integer multiples of the fine structure constant and the Kerr effect exhibits a $\pi/2$ rotation. Strongly enhanced cyclotron-resonance features appear at higher frequencies that are sensitive to the filling factors of both surfaces. When the product of the bulk conductivity and the film thickness in $e^2/h$ units is small compared to $\alpha$, magneto-optical properties are only weakly dependent on accidental doping in the interior of the film.Comment: 4 page

Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators

Topological insulators can exhibit strong magnetoelectric effects when their time-reversal symmetry is broken. In this Letter we consider the magneto-optical Kerr and Faraday effects of a topological insulator thin film weakly exchange-coupled to a ferromagnet. We find that its Faraday rotation has a universal value at low-frequencies, $\theta_{\mathrm{F}} = \mathrm{tan}^{-1}\,\alpha$ where $\alpha$ is the vacuum fine structure constant, and that it has a giant Kerr rotation $\theta_{\mathrm{K}} = \pi/2$. These properties follow from a delicate interplay between thin-film cavity confinement and the surface Hall conductivity of a topological insulator's helical quasiparticles.Comment: 5 pages, 4 figure

Ballistic Hot Electron Transport in Graphene

We theoretically study the inelastic scattering rate and the carrier mean free path for energetic hot electrons in graphene, including both electron-electron and electron-phonon interactions. Taking account of optical phonon emission and electron-electron scattering, we find that the inelastic scattering time $\tau \sim 10^{-2}-10^{-1} \mathrm{ps}$ and the mean free path $l \sim 10-10^2 \mathrm{nm}$ for electron densities $n = 10^{12}-10^{13} \mathrm{cm}^{-2}$. In particular, we find that the mean free path exhibits a finite jump at the phonon energy $200 \mathrm{meV}$ due to electron-phonon interaction. Our results are directly applicable to device structures where ballistic transport is relevant with inelastic scattering dominating over elastic scattering.Comment: 4 page

An Unfinished Canvas: Local Partnerships in Support of Arts Education in California

In 2006, at the request of The William and Flora Hewlett Foundation, SRI International conducted a study aimed at assessing the status of arts education in California relative to state goals. The final report, An Unfinished Canvas. Arts Education in California: Taking Stock of Policy and Practice, revealed a substantial gap between policy and practice. The study found that elementary schools in particular are failing to meet state goals for arts education. In light of these findings, The Hewlett Foundation commissioned a series of follow-up studies to identify policy mechanisms or other means of increasing student access to arts education. This study, focusing on the ability of school districts to leverage support for arts education through partnerships with local arts organizations, is one of the follow-up studies.Partnerships may allow for the pooling of resources and lend support to schools in a variety of ways including artists-in-residency programs, professional development for teachers, exposing students to the arts through the provision of one-time performances at school sites, and organizing field trips to performances and exhibits. According to the California Visual and Performing Arts Framework for California Public Schools, partnerships among districts, schools, and arts organizations are most successful when they are embedded within a comprehensive, articulated program of arts education. Questions about the nature of partnerships that California districts and schools have been able to form with arts organizations, and the success of these partnerships to increase students' access to a sequential standards-based course of study in the four arts disciplines, served as the impetus for this study.A team of SRI researchers conducted case studies of partnerships between districts and arts organizations in six diverse California communities in spring 2008. The case study sites were selected for their particular arts education activities and diverse contexts and, as a result, do not offer generalizable data about partnerships between school districts and arts organizations in California. Instead, we highlight the ways that a sample of partnerships promotes arts education in California elementary schools to inform others who may be interested in building partnerships between school districts and arts organizations

Flat branches and pressure amorphization

After summarizing the phenomenology of pressure amorphization (PA), we present a theory of PA based on the notion that one or more branches of the phonon spectrum soften and flatten with increasing pressure. The theory expresses the anharmonic dynamics of the flat branches in terms of local modes, represented by lattice Wannier functions, which are in turn used to construct an effective Hamiltonian. When the low-pressure structure becomes metastable with respect to the high-pressure equilibrium phase and the relevant branches are sufficiently flat, transformation into an amorphous phase is shown to be kinetically favored because of the exponentially large number of both amorphous phases and reaction pathways. In effect, the critical-size nucleus for the first-order phase transition is found to be reduced to a single unit cell, or nearly so. Random nucleation into symmetrically equivalent local configurations characteristic of the high-pressure structure is then shown to overwhelm any possible domain growth, and an ``amorphous'' structure results.Comment: 8 pages with 3 postscript figures embedded; Proceedings of the 4th International Discussion Meeting on Relaxations in Complex Systems, Hersonissos, Heraklion, Crete, June 16-23, ed. K. L. Ngai, Special Issues of the Journal of Non-Crystalline Solids, 200

Coulomb Drag in Graphene

We study the Coulomb drag between two single graphene sheets in intrinsic and extrinsic graphene systems with no interlayer tunneling. The general expression for the nonlinear susceptibility appropriate for single-layer graphene systems is derived using the diagrammatic perturbation theory, and the corresponding exact zero-temperature expression is obtained analytically. We find that, despite the existence of a non-zero conductivity in an intrinsic graphene layer, the Coulomb drag between intrinsic graphene layers vanishes at all temperatures. In extrinsic systems, we obtain numerical results and an approximate analytical result for the drag resistivity $\rho_{\textrm{D}}$, and find that $\rho_{\textrm{D}}$ goes as $T^2$ at low temperature $T$, as $1/d^4$ for large bilayer separation $d$ and $1/n^3$ for high carrier density $n$. We also discuss qualitatively the effect of plasmon-induced enhancement on the Coulomb drag, which should occur at a temperature of the order of or higher than the Fermi temperature

Online Bicriteria Load Balancing using Object Reallocation

Cataloged from PDF version of article.We study the bicriteria load balancing problem on two independent parameters under the allowance of object reallocation. The scenario is a system of M distributed file servers located in a cluster, and we propose three online approximate algorithms for balancing their loads and required storage spaces during document placement. The first algorithm is for heterogeneous servers. Each server has its individual trade-off of load and storage space under the same rule of selection. The other two algorithms are for homogeneous servers. The second algorithm combines the idea of the first one and the best existing solution for homogeneous servers. Using document reallocation, we obtain a smooth trade-off curve of the upper bounds of load and storage space. The last one bounds the load and storage space of each server by less than three times of their trivial lower bounds, respectively; and more importantly, for each server, the value of at least one parameter is far from its worst case. The time complexities of these three algorithms are O(log M) plus the cost of document reallocation

Grounded theologies: ‘Religion’ and the ‘secular’ in human geography

This paper replies to Kong’s (2010) lament that geographers of religion have not sufficiently intervened in religious studies. It advocates ‘grounded theologies’ as a rubric by which to investigate contemporary geographies of religion in a secular age. Arguing that secularization can itself be conceived as a theological process, the paper critiques a religious/secular dichotomy and argues that individualized spiritualities presently prevalent are indicative of Taylor’s (2007) nova effect of proliferating grounded theologies. Case studies are drawn from social and cultural geographies of religious intersectionalities and from critical geopolitics.</jats:p

Student perceptions of embedded writing programs taught by disciplinary academics

Study of three embedded writing programs - student perception