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Publications

Dense-packing crystal structures of physical tetrahedra

Cornell Affiliated Author(s)
Author
Y. Kallus
V. Elser
Abstract

We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry representing a deformation of the ideal mathematical tetrahedron into a less ideal, physical, tetrahedron and all the way to the sphere. Thus, we also connect the two well-studied problems of sphere packing and tetrahedron packing on a single axis. Our numerical results uncover a rich optimal-packing behavior, compared to that of other continuous families of particles previously studied.

Journal
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Date Published
Funding Source
0426568
Group (Lab)
Veit Elser Group

High, size-dependent quality factor in an array of graphene mechanical resonators

Cornell Affiliated Author(s)
Author
R.A. Barton
B. Ilic
A.M. Van Der Zande
W.S. Whitney
P.L. McEuen
J.M. Parpia
H.G. Craighead
Abstract

Graphene's unparalleled strength, stiffness, and low mass per unit area make it an ideal material for nanomechanical resonators, but its relatively low quality factor is an important drawback that has been difficult to overcome. Here, we use a simple procedure to fabricate circular mechanical resonators of various diameters from graphene grown by chemical vapor deposition. In addition to highly reproducible resonance frequencies and mode shapes, we observe a striking improvement of the membrane quality factor with increasing size.

Journal
Nano Letters
Date Published
Funding Source
0908634
Group (Lab)
Jeevak Parpia Group
Paul McEuen Group

Influence of the substrate temperature on the Curie temperature and charge carrier density of epitaxial Gd-doped EuO films

Cornell Affiliated Author(s)
Author
T. Mairoser
A. Schmehl
A. Melville
T. Heeg
W. Zander
J. Schubert
D.E. Shai
E.J. Monkman
K.M. Shen
T.Z. Regier
D.G. Schlom
J. Mannhart
Abstract

Rare earth doping is a standard, yet experimentally poorly understood method to increase the Curie temperature (TC) of the ferromagnetic semiconductor EuO. Here, we report on the charge carrier density (n) and the TC of commonly used 4.2 at. % Gd-doped EuO films grown by molecular-beam epitaxy on (110) oriented YAlO3 substrates at various substrate temperatures (Tsub). Increasing Tsub leads to a decrease in n and TC. For high substrate temperatures the Gd-doping is rendered completely inactive: n and TC drop to the values of undoped EuO. © 2011 American Institute of Physics.

Journal
Applied Physics Letters
Date Published
Funding Source
DMR-0820404
FA9550-10-1-0123
TRR 80
Group (Lab)
Kyle Shen Group

Superheating field of superconductors within Ginzburg-Landau theory

Cornell Affiliated Author(s)
Author
M.K. Transtrum
G. Catelani
J.P. Sethna
Abstract

We study the superheating field of a bulk superconductor within Ginzburg-Landau theory, which is valid near the critical temperature. We calculate, as functions of the Ginzburg-Landau parameter κ, the superheating field Hsh and the critical momentum kc characterizing the wavelength of the instability of the Meissner state to flux penetration. By mapping the two-dimensional linear stability theory into a one-dimensional eigenfunction problem for an ordinary differential equation, we solve the problem numerically.

Journal
Physical Review B - Condensed Matter and Materials Physics
Date Published
Funding Source
1005479
0705167
Group (Lab)
James Sethna Group

Geometry of nonlinear least squares with applications to sloppy models and optimization

Cornell Affiliated Author(s)
Author
M.K. Transtrum
B.B. Machta
J.P. Sethna
Abstract

Parameter estimation by nonlinear least-squares minimization is a common problem that has an elegant geometric interpretation: the possible parameter values of a model induce a manifold within the space of data predictions. The minimization problem is then to find the point on the manifold closest to the experimental data. We show that the model manifolds of a large class of models, known as sloppy models, have many universal features; they are characterized by a geometric series of widths, extrinsic curvatures, and parameter-effect curvatures, which we describe as a hyper-ribbon.

Journal
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Date Published
Funding Source
0705167
Group (Lab)
James Sethna Group

Angle dependence of quantum oscillations in YBa 2 Cu 3 O 6.59 shows free-spin behaviour of quasiparticles

Cornell Affiliated Author(s)
Author
B.J. Ramshaw
B. Vignolle
J. Day
R. Liang
W.N. Hardy
C. Proust
D.A. Bonn
Abstract

Measurements of quantum oscillations in the cuprate superconductors afford an opportunity to assess the extent to which their electronic properties yield to a description rooted in Fermi-liquid theory. However, such an analysis is hampered by the small number of oscillatory periods observed in the accessible magnetic field range. Here we employ a genetic algorithm to globally model the field, angular and temperature dependence of the quantum oscillations observed in the resistivity of YBa 2 Cu 3 O 6.59 .

Journal
Nature Physics
Date Published
Group (Lab)
Brad Ramshaw Group

Scatterometry measurement for gate ADI and AEI critical dimension of 28-nm metal gate technology

Cornell Affiliated Author(s)
Author
Y.-H. Huang
H. Chen
K. Shen
H.H. Chen
C.C. Yu
J.H. Liao
X. Zhang
R. Teo
Z.-Q. Xu
S. Yoo
C.-H. Lin
C.-Y. Cheng
J. Lin
Abstract

This paper discusses the scatterometry-based metrology measurement of 28nm high k metal gate after-develop inspection (ADI) and after-etch inspection (AEI) layer structures. For these structures, the critical measurement parameters include side wall angle (SWA) and critical dimension (CD). For production process control of these structures, a metrology tool must utilize a non-destructive measurement technique, and have high sensitivity, precision and throughput.

Conference Name
Conference
Date Published
Group (Lab)
Kyle Shen Group

Small-angle solution scattering using the mixed-mode pixel array detector

Cornell Affiliated Author(s)
Author
L.J. Koerner
R.E. Gillilan
K.S. Green
S. Wang
Sol Gruner
Abstract

Solution small-angle X-ray scattering (SAXS) measurements were obtained using a 128 X 128 pixel X-ray mixed-mode pixel array detector (MMPAD) with an 860 μs readout time. The MMPAD offers advantages for SAXS experiments: a pixel full-well of >2 × 107 10 keV X-rays, a maximum flux rate of 108 X-rays pixel-1 s-1, and a sub-pixel point-spread function. Data from the MMPAD were quantitatively compared with data from a charge-coupled device (CCD) fiber-optically coupled to a phosphor screen.

Journal
Journal of Synchrotron Radiation
Date Published
Group (Lab)
Sol M. Gruner Group

X-ray analog pixel array detector for single synchrotron bunch time-resolved imaging

Cornell Affiliated Author(s)
Author
L.J. Koerner
Sol Gruner
Abstract

Dynamic X-ray studies can reach temporal resolutions limited by only the X-ray pulse duration if the detector is fast enough to segregate synchrotron pulses. An analog integrating pixel array detector with in-pixel storage and temporal resolution of around 150 ns, sufficient to isolate pulses, is presented. Analog integration minimizes count-rate limitations and in-pixel storage captures successive pulses. Fundamental tests of noise and linearity as well as high-speed laser measurements are shown.

Journal
Journal of Synchrotron Radiation
Date Published
Group (Lab)
Sol M. Gruner Group

Quantum Monte Carlo with Jastrow-valence-bond wave functions

Cornell Affiliated Author(s)
Author
Benoît Braïda
Julien Toulouse
Michel Caffarel
C. Umrigar
Abstract

We consider the use in quantum Monte Carlo calculations of two types of valence bond wave functions based on strictly localized active orbitals, namely valence bond self-consistent-field and breathing-orbital valence bond wave functions. Complemented by a Jastrow factor, these Jastrow-valence-bond wave functions are tested by computing the equilibrium well depths of the four diatomic molecules C2, N2, O2, and F 2 in both variational Monte Carlo and diffusion Monte Carlo.

Journal
Journal of Chemical Physics
Date Published
Group (Lab)
Cyrus Umrigar Group