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Matthew Gilbert

Publications and source records attributed to Matthew Gilbert.

3 recordsLinked to original sources

Observation of a Zero-Field Josephson Diode Effect in a Helimagnet Josephson Junction

We present Josephson junctions with the metallic chiral helimagnet Cr$_{1/3}$NbS$_{2}$ as the weak link that exhibit magnetic diffraction patterns with asymmetry in both applied magnetic field and the critical (switching) current. The nonreciprocity between positive and negative critical currents (the Josephson diode effect) reaches efficiencies of $|\eta|>20\%$, where $\eta \equiv (I_{c+}-|I_{c-}|)/(I_{c+}+|I_{c-}|)$, and the effect persists even at zero applied field. As a chiral helimagnet, Cr$_{1/3}$NbS$_{2}$ lacks inversion symmetry and time reversal symmetry, providing a platform to explore the interplay of superconductivity with both symmetries broken. We propose that pinned Abrikosov vortices are a primary mechanism for the asymmetric magnetic-field response, while the nonzero spin chirality of Cr$_{1/3}$NbS$_{2}$ gives rise to the diode effect. Simulations of magnetic diffraction patterns with vortices show offsets from zero field consistent with observations, while simulations of chiral spin structures with out-of-plane canting show a diode effect.

cond-mat.supr-con

Topology and geometry optimization of grid-shells under self-weight loading

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the combined effects of a prescribed external loading and the design-dependent self-weight of the structure itself. The method derived herein involves solving a second-order cone optimization problem, thereby ensuring convexity and obtaining globally optimal results for a given discretization of the design domain. Several numerical examples are presented, illustrating characteristics of this class of optimal structures. It is found that, as self-weight becomes more significant, both the optimal topology and the optimal elevation profile of the structure change, highlighting the importance of optimizing both topology and geometry simultaneously from the earliest stages of design. It is shown that this approach can obtain solutions with greater accuracy and several orders of magnitude more quickly than a standard 3D layout/truss topology optimization approach.

cs.CE

Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices

We explore exchange coupling of a pair of spins in a double dot and in an optical lattice. Our algorithm uses the frequency of exchanges in a bosonic path integral, evaluated with Monte Carlo. This algorithm is simple enough to be a "black box" calculator, yet gives insights into the role of correlation through two-particle probability densities, visualization of instantons, and pair correlation functions. We map the problem to Hubbard model and see that exchange and correlation renormalize the effective parameters, dramatically lowering U at larger separations.

cond-mat.str-el