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Shoujun Xu

Publications and source records attributed to Shoujun Xu.

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Direct Validation of Superconductivity through Contact-Free Detection of Persistent Supercurrents Using Room-Temperature Quantum Magnetometry

The accelerated emergence of new materials is driving the search for high temperature superconductors, but rapid experimental validation remains a critical bottleneck, particularly for microscopic samples under high pressure. Here, we demonstrate one-step direct superconductivity validation through room-temperature, contact-free detection of remnant supercurrents. The technique utilizes a cryogen-free optically pumped atomic magnetometer to detect the temperature-dependent magnetic field produced by supercurrents of a superconductor. The superconducting transition is directly identified by the abrupt disappearance of magnetic field from the remnant supercurrent above the transition temperature and the reversal of the supercurrent direction upon reversing the applied magnetic field. Validated on YBCO microcrystals and REBCO tape, this technique detects pico-Tesla magnetic fields from supercurrents induced by the ambient Earth's magnetic field in a millimeter-sized REBCO square disk, as well as from sub-100 micrometer YBCO microcrystals compatible with high-pressure diamond anvil cells. The use of a ferrite flux guide enables sensitive detection from centimeter-scale distances. Requiring no electrical contacts, magnetic coils, or integrated magnetic sensors, this non-invasive, room-temperature platform offers a scalable approach for high-throughput screening and validation of superconductivity.

cond-mat.supr-con

The existence of even factors based on spectral conditions of graphs

Let $G=(V(G),E(G)) $ be a graph with vertex set $V(G)$ and edge set $E(G)$. An even factor of $G$ is a spanning subgraph $F$ such that every vertex in $F$ has a nonzero even degree. Note that $\delta(G)\geq 2$ is a trivial necessary condition for a graph to have an even factor, where \( \delta(G) \) is the minimum degree of \( G \). In this paper, for a connected graph $G$ with minimum degree $\delta$, we establish a lower bound on the signless Laplacian spectral radius of $G$ and an upper bound on the distance spectral radius of $G$ such that $G$ contains an even factor.

math.CO

The Turan number of the balanced double star S_{n-1,n-1} in the hypercube Q_n

The n-dimensional hypercube Q_n is a graph with vertex set {0,1}^n such that there is an edge between two vertices if and only if they differ in exactly one coordinate. Let H be a graph, and a graph is called H-free if it does not contain H as a subgraph. Given a graph H, the Turan number of H in Q_n, denoted by ex(Q_n, H), is the maximum number of edges of a subgraph of Q_n that is H-free. A double star S_{k,l} is the graph obtained by taking an edge uv and joining u with k vertices, v with l vertices which are different from the k vertices. We say a double star is a balanced double star if k = l. Currently, the Turan number of the balanced star S_{n,n} is has been studied in the planar graphs. In the hypercubes, the researchers look for the maximum number of edges of the graphs that are C_k-free. However, the Turan number of the double star in the hypercube remains unexplored. Building upon prior research, we initiate the first study on the Turan number of the balanced double star in the hypercube. In this paper, we give the exact value of the Turan number of the balanced double star S_{n-1,n-1} in the hypercube Q_n, which is 2^{n-3}*(4n- 3) for all n >= 3.

math.CO

The planar Turan number of double star S_(3,5)

Given a graph H and a positive integer n, the planar Turan number of H, denoted by exp(n, H), is the maximum number of edges in an n-vertex H-free planar graph.D.Ghosh, et al.initiated the topic of double stars S_(k,l). Recently Xu et al.[AIMS Mathematics, 2025, 10(1): 1628-1644.] mentioned that exp(n, S_(3,5)) is still unknown.In this paper, we first establish that the planar Turan number S_(3,5) satisfies exp(n, S_(3,5)) <= 23n/8 - 9/2 for all n >= 2. The upper bound is tight for n = 12.

math.CO

Noncovalent force spectroscopy using wide-field optical and diamond-based magnetic imaging

A realization of the force-induced remnant magnetization spectroscopy (FIRMS) technique of specific biomolecular binding is presented where detection is accomplished with wide-field optical and diamond-based magnetometry using an ensemble of nitrogen-vacancy (NV) color centers. The technique may be adapted for massively parallel screening of arrays of nanoscale samples.

physics.ins-det

A Hopf algebra on subgraphs of a graph

In this paper, we construct a bialgebraic and further a Hopf algebraic structure on top of subgraphs of a given graph. Further, we give the dual structure of this Hopf algebraic structure. We study the algebra morphisms induced by graph homomorphisms, and obtain a covariant functor from a graph category to an algebra category.

math.CO