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nontrivial Topological States in BaSn5 Superconductor Probed by de Haas–van Alphen Quantum Oscillations

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Chinese Physics Letters 2022年第6期39卷 34-40页

作者： Lixuesong Han Xianbiao Shi Jinlong Jiao Zhenhai Yu Xia Wang Na Yu Zhiqiang Zou Jie Ma Weiwei Zhao Wei Xia Yanfeng Guo School of Physical Science and Technology ShanghaiTech UniversityShanghai 201210China State Key Laboratory of Advanced Welding&Joining and Flexible Printed Electronics Technology Center Harbin Institute of TechnologyShenzhen 518055China Shenzhen Key Laboratory of Flexible Printed Electronics Techniology Harbin Institute of TechnologyShenzhen 518055China Key Laboratory of Artificial Structures and Quantum Control(Ministry of Education) School of Physics and AstronomyShanghai Jiao Tong UniversityShanghai 200240China Analytical Instrumentation Center School of Physical Science and TechnologyShanghaiTech UniversityShanghai 201210China ShanghaiTech Laboratory for Topological Physics ShanghaiTech UniversityShanghai 201210China

We report the nontrivial topological states in an intrinsic type-Ⅱ superconductor BaSn_(5)(T_(c)∼4.4 K)probed by measuring the magnetization,specific heat,de Haas–van Alphen(dHvA)effect,and by performing first-principles *** first-principles calculations reveal a topological nodal ring structure centered at the H point in the k_(z)=πplane of the Brillouin zone,which could be gapped by spin-orbit coupling(SOC),yielding relatively small gaps below and above the Fermi level of about 0.04 eV and 0.14 eV,*** SOC also results in a pair of Dirac points along theΓ–A direction,located at∼0.2 eV above the Fermi *** analysis of the dHvA quantum oscillations supports the calculations by revealing a nontrivial Berry phase originating from the hole and electron pockets related to the bands forming the Dirac ***,our study provides an excellent avenue for investigating the interplay between superconductivity and nontrivial topological states.

关键词： nontrivial topological Fermi

nontrivial SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENTS

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Chinese Science Bulletin 1991年第14期36卷 1226-1227页

作者：王传芳薛儒英 Department of Mathematics Hangzhou University Hangzhou 310028 PRC Department of Mathematics Hangzhou University Hangzhou 310028 PRC Let Ωbe a bounded domain in R~n (n≥4)with smooth boundary Ω. The following problem was posed by Brezis and Nirenberg. Is there a nontrivial solution of the semilinear elliptic boundary value problem

Let Ω be a bounded domain in R^n (n≥4)with smooth boundary Ω. The following problem was posed by Brezis and Nirenberg. Is there a nontrivial solution of the semilinear elliptic boundary value

关键词： semilinear elliptic nontrivial Nirenberg posed eigen esses

Coexistence of nontrivial topological properties and strong ferromagnetic fluctuations in quasi-one-dimensional A_(2)Cr_(3)As_(3)

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npj Computational Materials 2020年第1期6卷 1413-1420页

作者： Chenchao Xu Ninghua Wu Guo-Xiang Zhi Bing-Hua Lei Xu Duan Fanlong Ning Chao Cao Qijin Chen Department of Physics Zhejiang University310027 HangzhouChina CAS Key Laboratory of Functional Materials and Devices for Special Environments Xinjiang Technical Institute of Physics and ChemistryCASXinjiang Key Laboratory of Electronic Information Materials and Devices40-1 South Beijing Road830011 UrumqiChina Condensed Matter Group Department of PhysicsHangzhou Normal University311121 HangzhouChina Westlake University HangzhouZhejiangChina Department of Physics Fudan UniversityShanghaiChina Collaborative Innovation Center of Advanced Microstructures Nanjing University210093 NanjingChina Shanghai Branch National Laboratory for Physical Sciences at Microscale and Department of Modern PhysicsUniversity of Science and Technology of China201315 ShanghaiChina

Superconductivity in crystals without inversion symmetry has received extensive attention due to its unconventional pairing and possible nontrivial topological *** first-principles calculations,we systemically study t... 详细信息

关键词： properties nontrivial topological

A nontrivial SOLUTION OF A QUASILINEAR ELLIPTIC EQUATION VIA DUAL APPROACH

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Acta Mathematica Scientia 2019年第2期39卷 580-596页

作者： Xianyong YANG Wei ZHANG Fukun ZHAO School of Preparatory Education Yunnan Minzu University School of Mathematics and Statistics Central south University Department of Mathematics Yunnan University Department of Mathematics Yunnan Normal University

In this article, we are concerned with the existence of solutions of a quasilinear elliptic equation in R^N which includes the so-called modified nonlinear Schrodinger equation as a special case. Combining the dual ap... 详细信息

关键词： nontrivial solution quasilinear elliptic equation nonsmooth critical point theory dual approach

Large Magnetoresistance and nontrivial Berry Phase in Nb_(3)Sb Crystals with A15 Structure

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Chinese Physics Letters 2021年第8期38卷 110-114页

作者： Qin Chen Yuxing Zhou Binjie Xu Zhefeng Lou Huancheng Chen Shuijin Chen Chunxiang Wu Jianhua Du Hangdong Wang Jinhu Yang Minghu Fang Department of Physics Zhejiang UniversityHangzhou 310027China Department of Applied Physics China Jiliang UniversityHangzhou 310018China Department of Physics Hangzhou Normal UniversityHangzhou 310036China Collaborative Innovation Center of Advanced Microstructure Nanjing UniversityNanjing 210093China

Compounds with the A15 structure have attracted extensive attention due to their superconductivity and nontrivial topological band *** have successfully grown Nb_(3)Sb single crystals with the A15 structure and systematically measured the longitudinal resistivity,Hall resistivity and quantum oscillations in *** to other topological trivial/nontrivial semimetals,Nb_(3)Sb exhibits large magnetoresistance(MR)at low temperatures(717%,2 K and 9 T),unsaturating quadratic field dependence of MR and up-turn behavior in ρ_(xx)(T)curves under magnetic field,which is considered to result from a perfect hole-electron compensation,as evidenced by the Hall resistivity *** nonzero Berry phase obtained from the de-Hass van Alphen(dHvA)oscillations demonstrates that Nb_(3)Sb is topologically *** results indicate that Nb_(3)Sb superconductor is also a semimetal with large MR and nontrivial Berry *** indicates that Nb_(3)Sb may be another platform to search for the Majorana zero-energy mode.

关键词： nontrivial Berry topological

THE NUMBER OF nontrivial SOLUTIONS TO HAMMERSTEIN NONLINEAR INTEGRAL EQUATIONS

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Chinese Annals of Mathematics,Series B 1986年第2期7卷 191-204页

作者：郭大钧 Department of Mathematics Shandong University Jinan Shandong China.

In this paper,the author improves some results of Rabinowitz about the existence ofinfinitely many nontrivial solutions to Hammerstein nonlinear integral equations andgives some applications to the two-point boundary ... 详细信息

关键词： nontrivial

ON THE EXISTENCE OF nontrivial PERIODIC SOLUTIONS OF DIFFERENTIAL DIFFERENCE EQUATIONS

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Chinese Annals of Mathematics,Series B 1990年第4期11卷 438-444页

作者：王克 Department of Mathematics Northeast Normal UniversityChangchunJilinChina.

This paper cosiders the existence of nontrivial periodic solutions of the differentialdifference equationsx′(t)=-f(x(t-1)),x′(t)=-(f(x(t-1)+f(x(t-2))),and(x′(t)=f(x(t),y(t),x(t-1),y(t-1)),y′(t)=g(x(t),y(t),x(t-1),... 详细信息

关键词： nontrivial proof unbounded ordinary 云一必华 Fixed 耐公 belongs 七气

EXISTENCE　OF　nontrivial　SOLUTIONS　FOR　CRITICAL　SEMILINEAR　BIHARMONIC　EQUATIONS

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Systems Science and Mathematical Sciences 1994年第2期7卷 140-152页

作者： GU Yonggeng(Institute of Systems Science, Academia Sinica, Beijing 100080, China)DENG Yinbin(Department of Mathematics, Huazhong Normal University ,Wuhan 430070, China)WANG Xujia(Department of Mathematics, Zhejiang University, Hangzhou 310027, China)

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关键词： nontrivial solution biharmonic equations critical Sobolev exponent.

The Number of nontrivial Solutions of Nonlinear Two Point Boundary Value Problems

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数学研究与评论 1984年第1期 55-60页

作者：郭大钧

In this paper we use the Leray-Schauder degree theory to investigate the number of nontrivial solutions of the nonlinear two point boundary value problem where f(x) is non-negative and continuous for 0≤x<+∞ and f(0)... 详细信息

关键词： nontrivial Number proof cones elementary satisfying implies satisfied holds 数学研究