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 : 卫福霞
Affiliation of Author(s): 数理与信息工程学院
Date of Publication : 2014-01-01
Document Type : 期刊
Journal : 浙江师范大学学报(自然科学版)
Issue : 第1期
Page Number : 54-58
ISSN : 1001-5051
Translation or Not : no
Key Words : LDA；Bethe-ansatz；DFT；呼吸模；费米气体
Abstract : 基于密度泛函理论(DFT)方法研究了谐振势中自旋双组分费米气体的呼吸模,并同局域密度近似(LDA)的方法相比较.对于排斥相互作用,密度泛函理论给出了更为精确具有Friedel振荡的基态密度分布,其微小振荡使呼吸模略小于LDA的结果;对于弱吸引相互作用,密度泛函给出了更为振荡的密度分布,使呼吸模与LDA的结果有较大的不同,而在强吸引相互作用下,基于Bethe-ansatz解的密度泛函给出了不正确的密度分布,使呼吸模偏离LDA的结果,从而不再准确.
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/
