Publications
Path to Wigner localization in circular quantum dots
Accurate multideterminant ground-state energies of circular quantum dots containing N≤13 electrons as a function of interaction strength have been evaluated by the diffusion quantum Monte Carlo method. Two unique features are found for these confined two-dimensional systems: (1) as the electron density decreases, the quantum dots favor states with zero orbital angular momentum (L=0); and (2) for some values of N, the ground state cannot be fully spin-polarized because of a symmetry constraint. © 2009 The American Physical Society.
Theory of the normal-superfluid interface in population-imbalanced Fermi gases
We present a series of theoretical studies of the boundary between a superfluid and a normal region in a partially polarized gas of strongly interacting fermions. We present mean-field estimates of the surface energy in this boundary as a function of temperature and scattering length. We discuss the structure of the domain wall, and use a previously introduced phenomonological model to study its influence on experimental observables.
Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices
We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. Due to the competition between vortex-vortex interactions and pinning to the optical lattice, we find a very complicated energy landscape, which leads to hysteretic evolution. The qualitative structure of the vortex configurations depends on the commensurability between the vortex density and the site density-with regular lattices when these are commensurate and the appearance of ringlike structures when they are not.
Two aspects of quantum monte carlo: Determination of accurate wavefunctions and determination of potential energy surfaces of molecules
Two aspects of quantum Monte Carlo are discussed. First, we review a procedure for obtaining trial wavefunctions for use in quantum Monte Carlo simulations that have both smaller statistical errors and improved expectation values than commonly used functions. Second, we present a correlated sampling approach for calculating energy differences in variational Monte Carlo much more accurately than the values of the energies. This method is used to calculate the potential energy surfaces of H2 and BH.
Measurement of local strains in intervertebral disc annulus fibrosus tissue under dynamic shear: Contributions of matrix fiber orientation and elastin content
Fractional charges on an integer quantum hall edge
We propose ways to create and detect fractionally charged excitations in integer quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels. The fractional charge of the solitonlike collective excitations can be observed in time-resolved or frequency-dependent shot noise measurements. © 2009 The American Physical Society.
Stress and silicon nitride: A crack in the universal dissipation of glasses
High-stress silicon nitride microresonators exhibit a remarkable room temperature Q factor that even exceeds that of single crystal silicon. A study of the temperature dependent variation of the Q of a 255μm×255μ m×30nm thick high-stress Si3N4 membrane reveals that the dissipation Q-1 decreases with lower temperatures and is □ 3 orders of magnitude smaller than the universal behavior. Stress-relieved cantilevers fabricated from the same material show a Q that is more consistent with typical disordered materials.
Microscopic theory of the nematic phase in Sr3 Ru2 O7
In an externally applied magnetic field, ultrapure crystals of the bilayer compound Sr3 Ru2 O7 undergo a metamagnetic transition below a critical temperature, T, which varies as a function of the angle between the magnetic field H and the Ru-O planes. Moreover, T approaches zero when H is perpendicular to the planes. This putative "metamagnetic quantum critical point," however, is pre-empted by a nematic fluid phase with order one resistive anisotropy in the ab plane.
Challenges in continuum modeling of intergranular fracture
Intergranular fracture in polycrystals is often simulated by finite elements coupled to a cohesive-zone model for the interfaces, requiring cohesive laws for grain boundaries as a function of their geometry. We discuss three challenges in understanding intergranular fracture in polycrystals. First, 3D grain boundary geometries comprise a five dimensional space. Second, the energy and peak stress of grain boundaries have singularities for all commensurate grain boundaries, especially those with short repeat distances.
Searching for targets on a model DNA: Effects of inter-segment hopping, detachment, and re-attachment
For most of the important processes in DNA metabolism, a protein has to reach a specific binding site on the DNA. The specific binding site may consist of just a few base-pairs while the DNA is usually several millions of base-pairs long. How does the protein search for the target site? What is the most efficient mechanism for a successful search? Motivated by these fundamental questions on intracellular biological processes, we have developed a model for searching a specific site on a model DNA by a single protein.