317 citations · 430 across the 13 of their papers we have counts for
13 papers
Defect ground states for liquid crystals on cones and hyperbolic cones
Farzan Vafa, Grace H. Zhang, David R. Nelson
This contribution is intended for Journal of Physics A: Mathematical and Theoretical Special issue on Non-equilibrium Dynamics in Complex Systems: Celebrating the Contributions of…
Geometric frustration of hard-disk packings on cones
Jessica H. Sun, Abigail Plummer, Grace H. Zhang +2
Conical surfaces pose an interesting challenge to crystal growth: a crystal growing on a cone can wrap around and meet itself at different radii. We use a disk-packing algorithm to…
Defect absorption and emission for -atic liquid crystals on cones
Farzan Vafa, Grace H. Zhang, David R. Nelson
We investigate the ground state configurations of -atic liquid crystals on fixed curved surfaces. We focus on the intrinsic geometry and show that isothermal coordinates are par…
Fractional defect charges in -atic liquid crystals on cones
Grace H. Zhang, David R. Nelson
Conical surfaces, with a delta function of Gaussian curvature at the apex, are perhaps the simplest example of geometric frustration. We study two-dimensional liquid crystals with…
Phonon eigenfunctions of inhomogeneous lattices: Can you hear the shape of a cone?
Grace H. Zhang, David R. Nelson
We study the phonon modes of interacting particles on the surface of a truncated cone resting on a plane subject to gravity, inspired by recent colloidal experiments. We derive the…
Sudden collapse of magnetic order in oxygen deficient nickelate films
Jiarui Li, Robert J. Green, Zhen Zhang +9
Oxygen vacancies play a crucial role in the control of the electronic, magnetic, ionic, and transport properties of functional oxide perovskites. Rare earth nickelates (RENiO$_{3-x…
Statistical Mechanics of Dislocation Pileups in Two Dimensions
Grace H. Zhang, David R. Nelson
Dislocation pileups directly impact the material properties of crystalline solids through the arrangement and collective motion of interacting dislocations. We study the statistica…
Statistical Mechanics of Low Angle Grain Boundaries in Two Dimensions
Grace H. Zhang, David R. Nelson
We explore order in low angle grain boundaries (LAGBs) embedded in a two-dimensional crystal at thermal equilibrium. Symmetric LAGBs subject to a periodic Peierls potential undergo…
Eigenvalue Repulsion and Eigenfunction Localization in Sparse Non-Hermitian Random Matrices
Grace H. Zhang, David R. Nelson
Complex networks with directed, local interactions are ubiquitous in nature, and often occur with probabilistic connections due to both intrinsic stochasticity and disordered envir…
Photon-mediated interactions between quantum emitters in a diamond nanocavity
Ruffin E. Evans, Mihir K. Bhaskar, Denis D. Sukachev +10
Photon-mediated interactions between quantum systems are essential for realizing quantum networks and scalable quantum information processing. We demonstrate such interactions betw…
Phase diagrams for quantum Brownian motion models on two-dimensional Bravais lattices
Grace H. Zhang
We study quantum Brownian motion (QBM) models for a particle in a dissipative environment coupled to a periodic potential. We review QBM for a particle in a one-dimensional periodi…
Accessing the Full Superconducting Dome in Pristine YBa2Cu3O6+x Under Pressure
P. L. Alireza, G. H. Zhang, W. Guo +7
We attain the previously unaccessed full superconducting dome in a pristine high temperature cuprate superconductor by applying pressures up to 280 kbar to samples of near stoichio…
Fast Compact Laser Shutter Using a Direct Current Motor and 3D Printing
Grace H. Zhang, Boris Braverman, Akio Kawasaki +1
We present a mechanical laser shutter design that utilizes a DC electric motor to rotate a blade which blocks and unblocks a light beam. The blade and the main body of the shutter…