The recently discovered kagome metal series AV3Sb5(A=K, Rb, Cs) exhibits topologically nontrivial band structures, chiral charge order and superconductivity, presenting a unique platform for realizing exotic electroni...The recently discovered kagome metal series AV3Sb5(A=K, Rb, Cs) exhibits topologically nontrivial band structures, chiral charge order and superconductivity, presenting a unique platform for realizing exotic electronic states. The nature of the superconducting state and the corresponding pairing symmetry are key questions that demand experimental clarification. Here, using a technique based on the tunneling diode oscillator, the magnetic penetration depth ?λ(T) of CsV3Sb5 was measured down to 0.07 K. A clear exponential behavior in ?λ(T) with marked deviations from a T or T2 temperature dependence was observed at low temperatures, indicating an absence of nodal quasiparticles. Temperature dependence of the superfiuid density and electronic specific heat can be described by two-gap s-wave superconductivity, consistent with the presence of multiple Fermi surfaces in CsV3Sb5. These results evidence nodeless superconductivity in CsV3Sb5 under ambient pressure, and constrain the allowed pairing symmetry.展开更多
According to the works of Xiong J.C. and Ye X.D. et al., the depth of the center of f is at most 2 when f is a continuous map on the unit interval; at most 3 when f is one on a tree; at most 4 when f is one on the War...According to the works of Xiong J.C. and Ye X.D. et al., the depth of the center of f is at most 2 when f is a continuous map on the unit interval; at most 3 when f is one on a tree; at most 4 when f is one on the Warsaw circle. Naturally, one expects to obtain an upper bound of the depth of the center of a map on other spaces. In this paper, we show that the depth of the center of f is at most 2n provided that (i) f is a continuous map on a hereditarily decomposable chainable continuum X with order n, and (ii) the set of the nondegenerate elements in k th layer of X is finite, where n∈N and k=1,2,…,n-1.展开更多
This paper presents a model to describe the dynamic trading process in limit order book.By studying the dynamic pattern of execution probabilities of limit orders with both time and the depth of limit order book,the a...This paper presents a model to describe the dynamic trading process in limit order book.By studying the dynamic pattern of execution probabilities of limit orders with both time and the depth of limit order book,the authors conclude with the following properties:Arrival rates of market buy orders increase as the depth of buy queue in the book increases and decrease as the depth of sell queue increases,and vice versa;similar regularities for the arrival rate of market sell orders;both the arrival rate of market buy order and market sell orders increase as the depth of both sides in the book increases by the same amount.Furthermore,the authors describe more detailed temporary and permanent effects of the market depth on the arrival rates of orders.展开更多
High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of ...High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of mu(= h/lambda, depth to deep-water wave length ratio) and epsilon(= a/h, wave amplitude to depth ratio) for velocity potential, particle velocity vector, pressure and the Boussinesq-type equations for surface elevation eta and horizontal velocity vector (U) over right arrow at any given level in water are given. Then, the exact explicit expressions to the fourth order of mu are derived. Finally, the linear solutions of eta, (U) over right arrow, C (phase-celerity) and C-g (group velocity) for a constant water depth are obtained. Compared with the Airy theory, excellent results can be found even for a water depth as large as the wave legnth. The present high-order models are applicable to nonlinear regular and irregular waves in water of any varying depth (from shallow to deep) and bottom slope (from mild to steep).展开更多
基金supported by the National Key R&D Program of China (Grant Nos. 2017YFA0303100, and 2016YFA0300202)Key R&D Program of Zhejiang Province, China (Grant No. 2021C01002)National Natural Science Foundation of China (Grant Nos. 11974306, and 12034017)。
文摘The recently discovered kagome metal series AV3Sb5(A=K, Rb, Cs) exhibits topologically nontrivial band structures, chiral charge order and superconductivity, presenting a unique platform for realizing exotic electronic states. The nature of the superconducting state and the corresponding pairing symmetry are key questions that demand experimental clarification. Here, using a technique based on the tunneling diode oscillator, the magnetic penetration depth ?λ(T) of CsV3Sb5 was measured down to 0.07 K. A clear exponential behavior in ?λ(T) with marked deviations from a T or T2 temperature dependence was observed at low temperatures, indicating an absence of nodal quasiparticles. Temperature dependence of the superfiuid density and electronic specific heat can be described by two-gap s-wave superconductivity, consistent with the presence of multiple Fermi surfaces in CsV3Sb5. These results evidence nodeless superconductivity in CsV3Sb5 under ambient pressure, and constrain the allowed pairing symmetry.
文摘According to the works of Xiong J.C. and Ye X.D. et al., the depth of the center of f is at most 2 when f is a continuous map on the unit interval; at most 3 when f is one on a tree; at most 4 when f is one on the Warsaw circle. Naturally, one expects to obtain an upper bound of the depth of the center of a map on other spaces. In this paper, we show that the depth of the center of f is at most 2n provided that (i) f is a continuous map on a hereditarily decomposable chainable continuum X with order n, and (ii) the set of the nondegenerate elements in k th layer of X is finite, where n∈N and k=1,2,…,n-1.
基金supported by the National Natural Science Foundation of China under Grant Nos.71371024,71371023Fundamental Research Funds for the Central Universities under Grant No.ZZ1319
文摘This paper presents a model to describe the dynamic trading process in limit order book.By studying the dynamic pattern of execution probabilities of limit orders with both time and the depth of limit order book,the authors conclude with the following properties:Arrival rates of market buy orders increase as the depth of buy queue in the book increases and decrease as the depth of sell queue increases,and vice versa;similar regularities for the arrival rate of market sell orders;both the arrival rate of market buy order and market sell orders increase as the depth of both sides in the book increases by the same amount.Furthermore,the authors describe more detailed temporary and permanent effects of the market depth on the arrival rates of orders.
文摘High-order models with a dissipative term for nonlinear and dispersive wave in water of varying depth with an arbitrary sloping bottom are presented in this article. First, the formal derivations to any high order of mu(= h/lambda, depth to deep-water wave length ratio) and epsilon(= a/h, wave amplitude to depth ratio) for velocity potential, particle velocity vector, pressure and the Boussinesq-type equations for surface elevation eta and horizontal velocity vector (U) over right arrow at any given level in water are given. Then, the exact explicit expressions to the fourth order of mu are derived. Finally, the linear solutions of eta, (U) over right arrow, C (phase-celerity) and C-g (group velocity) for a constant water depth are obtained. Compared with the Airy theory, excellent results can be found even for a water depth as large as the wave legnth. The present high-order models are applicable to nonlinear regular and irregular waves in water of any varying depth (from shallow to deep) and bottom slope (from mild to steep).
