African American English And Urban Literature: Creating Culturally Caring Classrooms

Language and literacy are a means of delivering care through consideration of students’ home culture; however, a cultural mismatch between the predominantly white, female educator population and the diverse urban student population is reflected in language and literacy instruction. Urban curricula often fail to incorporate culturally relevant literature, in part due to a dearth of texts that reflect student experiences. Dialectal differences between African American English (AAE) and Mainstream American English (MAE) and a history of racism have attached a reformatory stigma to AAE and its speakers. The authors assert that language and literacy instruction that validates children’s lived experience mediates this hegemony, leads to empathetic relationships between teachers and students of different cultural backgrounds, and promotes academic success. This paper seeks to 1) dissect the relationship between academic achievement and affirmation of student culture through language and literacy instruction, 2) enumerate classroom strategies that empower students and foster the development of self-efficacy 3) identify ways teachers might weave value for diversity in language and literacy into a pedagogy of care for urban classrooms

Magneto-optical conductivity in graphene including electron-phonon coupling

We show how coupling to an Einstein phonon $\omega_E$ affects the absorption peaks seen in the optical conductivity of graphene under a magnetic field $B$. The energies and widths of the various lines are shifted, and additional peaks arise in the spectrum. Some of these peaks are Holstein sidebands, resulting from the transfer of spectral weight in each Landau level (LL) into phonon-assisted peaks in the spectral function. Other additional absorption peaks result from transitions involving split LLs, which occur when a LL falls sufficiently close to a peak in the self-energy. We establish the selection rules for the additional transitions and characterize the additional absorption peaks. For finite chemical potential, spectral weight is asymmetrically distributed about the Dirac point; we discuss how this causes an asymmetry in the transitions due to left- and right-handed circularly polarized light and therefore oscillatory behavior in the imaginary part of the off-diagonal Hall conductivity. We also find that the semiclassical cyclotron resonance region is renormalized by an effective-mass factor but is not directly affected by the additional transitions. Last, we discuss how the additional transitions can manifest in broadened, rather than split, absorption peaks due to large scattering rates seen in experiment.Comment: 24 pages, 21 figure

Phonon structures in the electronic density of states of graphene in magnetic field

Unlike in ordinary metals, in graphene, phonon structure can be seen in the quasiparticle electronic density of states, because the latter varies on the scale of the phonon energy. In a magnetic field, quantization into Landau levels creates even more significant variations. We calculate the density of states incorporating electron-phonon coupling in this case and find that the coupling has pronounced new effects: shifting and broadening of Landau levels, creation of new peaks, and splitting of any Landau levels falling near one of the new peaks. Comparing our calculations with a recent experiment, we find evidence for a phonon with energy similar to but somewhat greater than the optical $E_{2g}$ mode and a coupling corresponding to a mass enhancement parameter $\lambda \simeq 0.07$.Comment: 6 pages, 4 figures, final version to be published in EP

Ultrasonic attenuation in clean d-wave superconductors

We consider the attenuation of longitudinal ultrasonic waves in a clean two-dimensional d-wave superconductor. We show that the attenuation coefficient is linear in temperature at low temperatures for all in-plane directions of the propagation of the ultrasound, and that the coefficient of the linear term can be used to determine the parameters crucial for the low temperature transport in these compounds.Comment: 4 pages, very minor changes, published versio