arXiv subjects

Changsub Kim

Publications and source records attributed to Changsub Kim.

5 recordsLinked to original sources

arXiv2026

Lumped-Element Model of THz HEB Mixer Based on Sputtered MgB2 Thin Film

We present a comprehensive analysis and experimental study of THz hot-electron bolometer (HEB) mixers made from 40-nm-thick sputtered magnesium diboride (MgB2) thin films on high-resistivity silicon substrates. Using a lumped-element bolometric model, we achieve strong quantitative agreement with measurements of conversion gain, noise temperature, and local-oscillator (LO) coupling to the HEB devices. Our analysis shows that the sensitivity of current HEB devices is primarily limited by on-chip optical losses, with both Johnson and thermal-fluctuation noise contributing significantly to the overall noise temperature. Simulations of an optimized device with near-ideal optical coupling suggest that Johnson noise remains a substantial factor even with improved coupling. Further reduction of the noise temperature may require additional suppression of Johnson noise (via improved intrinsic conversion gain) beyond optimizing optical coupling efficiency. We emphasize the importance of accurate modeling to achieve good numerical agreement with experiments, thereby enabling understanding of the causes of sensitivity loss.

cond-mat.supr-con↗

arXiv2023

Wafer-Scale MgB2 Superconducting Devices

Progress in superconducting device and detector technologies over the past decade have realized practical applications in quantum computers, detectors for far-infrared telescopes, and optical communications. Superconducting thin film materials, however, have remained largely unchanged, with aluminum still being the material of choice for superconducting qubits, and niobium compounds for high frequency/high kinetic inductance devices. Magnesium diboride ($\mathrm{MgB}_2$), known for its highest transition temperature ($\mathrm{T}_c$ = 39 K) among metallic superconductors, is a viable material for elevated temperature and higher frequency superconducting devices moving towards THz frequencies. However, difficulty in synthesizing wafer-scale thin films have prevented implementation of $\mathrm{MgB}_2$ devices into the application base of superconducting electronics. Here, we report ultra-smooth (< 0.5 nm root-mean-square roughness) and uniform $\mathrm{MgB}_2$ thin (< 100 nm) films over 100 mm in diameter for the first time and present prototype devices fabricated with these films demonstrating key superconducting properties including internal quality factor over $\mathrm{10}^4$ at 4.5 K and high tunable kinetic inductance in the order of tens of pH/sq in a 40 nm film. This groundbreaking advancement will enable development of elevated temperature, high frequency superconducting quantum circuits and devices.

cond-mat.supr-con↗

arXiv2022

On Translation Lengths of Pseudo-Anosov Maps on the Curve Graph

We show that a pseudo-Anosov map constructed as a product of the large power of Dehn twists of two filling curves always has a geodesic axis on the curve graph of the surface. We also obtain estimates of the stable translation length of a pseudo-Anosov map, when two filling curves are replaced by multicurves. Three main applications of our theorem are the following: (a) determining which word realizes the minimal translation length on the curve graph within a specific class of words, (b) giving a new class of pseudo-Anosov maps optimizing the ratio of stable translation lengths on the curve graph to that on Teichm\"uller space, (c) giving a partial answer of how much powers will be needed for Dehn twists to generate right-angled Artin subgroup of the mapping class group.

math.GT↗

arXiv2022

Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori

We investigate the relation between the topological entropy of pseudo-Anosov maps on surfaces with punctures and the rank of the first homology of their mapping tori. On the surface $S$ of genus $g$ with $n$ punctures, we show that the entropy of a pseudo-Anosov map is bounded from above by $\dfrac{(k+1)\log(k+3)}{|\chi(S)|}$ up to a constant multiple when the rank of the first homology of the mapping torus is $k+1$ and $k, g, n$ satisfy a certain assumption. This is a partial generalization of precedent works of Tsai and Agol-Leininger-Margalit.

math.GT↗

arXiv2019

On Translation Lengths of Anosov Maps on Curve Graph of Torus

We show that an Anosov map has a geodesic axis on the curve graph of a torus. The direct corollary of our result is the stable translation length of an Anosov map on the curve graph is always a positive integer. As the proof is constructive, we also provide an algorithm to calculate the exact translation length for any given Anosov map. The application of our result is threefold: (a) to determine which word realizes the minimal translation length on the curve graph within a specific class of words, (b) to establish the effective bound on the ratio of translation lengths of an Anosov map on the curve graph to that on Teichm\"uller space, and (c) to estimate the overall growth of the number of Anosov maps which have a sufficient number of Anosov maps with the same translation length.

math.GT↗