Gao Xianlong
professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Honors and Titles : Program for New Century Excellent Talents in University
Gender : Male
Alma Mater : University of Science and Technology of China
Education Level : Graduate student graduate
Degree : Doctorate
Status : 在岗
School/Department : College of Mathematics, Physics and Information Engineering
Date of Employment : 2007-03-29
Discipline : physics
Business Address : Science Building 29#-429
Contact Information : 0579-82298507, 667810（short）
Email :
Hits :
First Author : 刘天帅
Affiliation of Author(s): 数理与信息工程学院
Date of Publication : 2018-01-01
Document Type : 期刊
Journal : 浙江师范大学学报(自然科学版)
Volume: 第41卷
Issue : 第3期
Page Number : 268-272
ISSN : 1001-5051
Translation or Not : no
Key Words : 能级差比率；准无序系统；临界相；随机相位
Abstract : 为了研究一维准无序系统中临界相的性质,运用精确对角化的数值方法计算一维Aubry-André模型和非对角Aubry-André模型中临界相的能级差比率.结果表明:对一维单体系统,可以用能级差比率的方法区分不同的相,在不加随机相位的情况下能够直接确定扩展相、临界相、局域相的范围;加入随机相位后,扩展相能级差比率的统计平均值并不呈现多体系统中的高斯正交分布;同一个模型中,临界相能级差比率的统计平均值恒定.
Born at Anhui Province, Feixi, Ph.D., Professor,
In 1998, Anhui University Department of Applied Physics, Theoretical Physics, Bachelor, Master,
In 2001, University of Science and Technology of China, Department of Astronomy and Applied Physics, Condensed matter physics, Ph.D
Research Interests:
1. Quantum properties of low-dimensional Fermi gas: Studying the exotic quantum phases due to the fermion species, pairing, the external potential, and the interaction;
2. Density functional theory of low-dimensioanl system;
Homogeneous low-dimensional systems are strictly solvable in many cases (eg using the Bethe-Ansatz technique, Bosonization, etc.), and for the inhomogeneous systems they are more complicated and can often be solved by using density functional theory. We study the applications of the density functional theory in the model system. Related examples can be found in the application of density functional theory in the inhomogeneous Hubbard model, non-uniform Lieb-Wu model, Anderson model and Bose-Fermi mixed system. The same idea can be used to deal with disordered problems, finite temperature effects, various dynamical problems;
3. Numerical study of low-dimensional strong correlation system: By means of strict diagonalization and numerical renormalization group, we discuss the ground state, especially the correlation function of low-dimensional systems;
4. Excitation properties of low-dimensional strongly correlation systems: studying low energy excitation such as spin-charge separation phenomenon, spin-drag effect due to the relative motion of different types of fermions, and the use of variational methods and local density approximation to solve the finite temperature, low energy excitation mode.
For students:
I am currently tutoring several graduate students for scientific research. At the same time, I am organizing and supervising a number of junior undergraduates for research and develop their research interests.
See details at http://physics.zjnu.edu.cn/2016/0303/c2480a26226/page.htm
Research team http://course.zjnu.cn/qm/gao/
