Demonstration of a robust pseudogap in a three-dimensional correlated electronic system

We outline a partial-fractions decomposition method for determining the one-particle spectral function and single-particle density of states of a correlated electronic system on a finite lattice in the non self-consistent T-matrix approximation to arbitrary numerical accuracy, and demonstrate the application of these ideas to the attractive Hubbard model. We then demonstrate the effectiveness of a finite-size scaling ansatz which allows for the extraction of quantities of interest in the thermodynamic limit from this method. In this approximation, in one or two dimensions, for any finite lattice or in the thermodynamic limit, a pseudogap is present and its energy diverges as Tc is approached from above; this is an unphysical manifestation of using an approximation that predicts a spurious phase transition in one or two dimensions. However, in three dimensions one expects the transition predicted by this approximation to represent a true continuous phase transition, and in the thermodynamic limit any pseudogap predicted by this formulation will remain finite. We have applied our method to the attractive Hubbard model on a three-dimensional simple cubic lattice, and find that for intermediate coupling a prominent pseudogap is found in the single-particle density of states, and this gap persists over a large temperature range. In addition, we also show that for weak coupling a pseudogap is also present. The pseudogap energy at the transition temperature is almost a factor of three larger than the T=0 BCS gap for intermediate coupling, whereas for weak coupling the pseudogap and BCS gap energies are essentially equal.Comment: 28 pages, 9 figure

Spin dynamics in the antiferromagnetic phase for electron-doped cuprate superconductors

Based on the $t$-$t'$-$t''$-$J$ model we have calculated the dynamical spin susceptibilities in the antiferromagnetic (AF) phase for electron-doped cuprates, by use of the slave-boson mean-field theory and random phase approximation. Various results for the susceptibilities versus energy and momentum have been shown at different dopings. At low energy, except the collective spin-wave mode around $(\pi,\pi)$ and 0, we have primarily observed that new resonance peaks will appear around $(0.3\pi,0.7\pi)$ and equivalent points with increasing doping, which are due to the particle-hole excitations between the two AF bands. The peaks are pronounced in the transverse susceptibility but not in the longitudinal one. These features are predicted for neutron scattering measurements.Comment: 5 pages, 3 figures, published version with minor change

Direct-laser writing for subnanometer focusing and single-molecule imaging

Two-photon direct laser writing is an additive fabrication process that utilizes two-photon absorption of tightly focused femtosecond laser pulses to implement spatially controlled polymerization of a liquid-phase photoresist. Two-photon direct laser writing is capable of nanofabricating arbitrary three-dimensional structures with nanometer accuracy. Here, we explore direct laser writing for high-resolution optical microscopy by fabricating unique 3D optical fiducials for single-molecule tracking and 3D single-molecule localization microscopy. By having control over the position and three-dimensional architecture of the fiducials, we improve axial discrimination and demonstrate isotropic subnanometer 3D focusing (<0.8 nm) over tens of micrometers using a standard inverted microscope. We perform 3D single-molecule acquisitions over cellular volumes, unsupervised data acquisition and live-cell single-particle tracking with nanometer accuracy

FRET theoretical predictions concerning freely diffusive dyes inside spherical container: how to choose the best pair?

FRET has been massively used to see if biomolecules were bounded or not by labelling both biomolecules by one dye of a FRET pair. This should give a digital answer to the question (fluorescence of the acceptor: high FRET efficency: molecules associated, fluorescence of the donor: low FRET efficency: molecules dissociated). This has been used, inter alia, at the single-molecule scale in containers, such as liposomes. One perspective of the field is to reduce the container’s size to study the effect of confinement on binding. The problem is that if the two dyes are encapsulated inside a small liposome, they could have a significant probability to be close one from the other one (and thus to undergo a high FRET efficiency event without binding). This is why we suggest here a theoretical model which gives mean FRET efficiency as a function of liposome radius (the model applies to any spherical container) and Förster radius to help the experimentalist to choose their experimental set-up. Besides, the influence of side effect on mean FRET efficiency has been studied as well. We show here that if this “background FRET” is most of the time non-quantitative, it can remain significant and which makes data analysis trickier. We could show as well that if this background FRET obviously increases when liposome radius decreases, this variation was lower than the one which could be expected because of side effect. We show as well the FRET efficiency function distribution which let the experimentalist know the probability to get one FRET efficiency value

Magnetic susceptibility of a CuO2 plane in the La2CuO4 system: I. RPA treatment of the Dzyaloshinskii-Moriya Interactions

Motivated by recent experiments on undoped La2CuO4, which found pronounced temperature-dependent anisotropies in the low-field magnetic susceptibility, we have investigated a two-dimensional square lattice of S=1/2 spins that interact via Heisenberg exchange plus the symmetric and anti-symmetric Dzyaloshinskii-Moriya anisotropies. We describe the transition to a state with long-ranged order, and find the spin-wave excitations, with a mean-field theory, linear spin-wave analysis, and using Tyablikov's RPA decoupling scheme. We find the different components of the susceptibility within all of these approximations, both below and above the N'eel temperature, and obtain evidence of strong quantum fluctuations and spin-wave interactions in a broad temperature region near the transition.Comment: 20 pages, 2 column format, 22 figure

Unifying the Phase Diagrams of the Magnetic and Transport Properties of La_(2-x)Sr_xCuO_4, 0 < x < 0.05

An extensive experimental and theoretical effort has led to a largely complete mapping of the magnetic phase diagram of La_(2-x)Sr_xCuO_4, and a microscopic model of the spin textures produced in the x < 0.05 regime has been shown to be in agreement with this phase diagram. Here we use this same model to derive a theory of the impurity-dominated, low temperature transport. Then, we present an analysis of previously published data for two samples: x = 0.002 data from Chen et. al., and x = 0.04 data from Keimer et. al. We show that the transport mechanisms in the two systems are the same, even though they are on opposite sides of the observed insulator-to-metal transition. Our model of impurity effects on the impurity band conduction, variable-range hopping conduction, and coulomb gap conduction, is similar to that used to describe doped semiconductors. However, for La_(2-x)Sr_xCuO_4 we find that in addition to impurity-generated disorder effects, strong correlations are important and must be treated on a equal level with disorder. On the basis of this work we propose a phase diagram that is consistent with available magnetic and transport experiments, and which connects the undoped parent compound with the lowest x value for which La_(2-x)Sr_xCuO_4 is found to be superconducting, x about 0.06.Comment: 7 pages revtex with one .ps figur

Race/ism in Field Education: Narratives of BIPOC Field Instructors

Field instructors are critical to enacting social work’s signature pedagogy as they are tasked with providing agency-based learning opportunities and supervision for students. It has been well-documented that field supervisors are instrumental in students’ learning and that the supervisory relationship is central to success in field education. However, there is a dearth of research regarding issues of identity, difference, race, and/or racism in these relationships, particularly from the perspective of field instructors of color. To date, we found no published literature that focuses specifically on the experiences and perspectives of Black, Indigenous, or People of Color (BIPOC) social work field instructors. The qualitative study presented here draws upon interviews and focus groups with BIPOC field instructors to better understand how race influences their role and work with students in field settings. Key findings include: 1) race and racialized experiences are primary motivations for becoming a field instructor, 2) BIPOC field instructors integrate issues of race and racism into supervision and work with students in multiple ways, and 3) BIPOC field instructors have differential experiences when supervising White students versus students of color. Recommendations for supporting racialized field instructors in their roles and future research are discussed