Successes and failures of Bethe ansatz density functional theory

被引:23
作者
Schenk, Stefan [1 ]
Dzierzawa, Michael [1 ]
Schwab, Peter [1 ]
Eckern, Ulrich [1 ]
机构
[1] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany
来源
PHYSICAL REVIEW B | 2008年 / 78卷 / 16期
关键词
D O I
10.1103/PhysRevB.78.165102
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The response of a one-dimensional fermion system is investigated using density functional theory (DFT) within the local-density approximation (LDA) and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some of the characteristic features of the Luttinger liquid, for example, the dispersion of the collective charge excitations. On the other hand, the approximation fails even qualitatively for details of the dynamic response and for quantities for which backscattering is important, i.e., those quantities which are crucial for an accurate description of transport. In particular, the Drude weight in the presence of a single impurity is discussed.
引用
收藏
页数:6
相关论文
共 32 条
[1]   Density functional formulations for quantum chains [J].
Alcaraz, Francisco C. ;
Capelle, Klaus .
PHYSICAL REVIEW B, 2007, 76 (03)
[2]   BAND THEORY AND MOTT INSULATORS - HUBBARD-U INSTEAD OF STONER-I [J].
ANISIMOV, VI ;
ZAANEN, J ;
ANDERSEN, OK .
PHYSICAL REVIEW B, 1991, 44 (03) :943-954
[3]   Threshold singularities in the dynamic response of gapless integrable models [J].
Cheianov, Vadim V. ;
Pustilnik, Michael .
PHYSICAL REVIEW LETTERS, 2008, 100 (12)
[4]   Normal persistent currents [J].
Eckern, U ;
Schwab, P .
ADVANCES IN PHYSICS, 1995, 44 (05) :387-404
[5]  
Fukuyama H., 1985, ELECT PROPERTIES INO, P41
[6]   Luther-Emery phase and atomic-density waves in a trapped fermion gas [J].
Gao, Xianlong ;
Rizzi, M. ;
Polini, Marco ;
Fazio, Rosario ;
Tosi, M. P. ;
Campo, V. L., Jr. ;
Capelle, K. .
PHYSICAL REVIEW LETTERS, 2007, 98 (03)
[7]   DENSITY-FUNCTIONAL THEORY USING AN OPTIMIZED EXCHANGE-CORRELATION POTENTIAL [J].
GRABO, T ;
GROSS, EKU .
CHEMICAL PHYSICS LETTERS, 1995, 240 (1-3) :141-150
[8]   LOCAL DENSITY-FUNCTIONAL THEORY OF FREQUENCY-DEPENDENT LINEAR RESPONSE [J].
GROSS, EKU ;
KOHN, W .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2850-2852
[9]   DENSITY-FUNCTIONAL TREATMENT OF AN EXACTLY SOLVABLE SEMICONDUCTOR MODEL [J].
GUNNARSSON, O ;
SCHONHAMMER, K .
PHYSICAL REVIEW LETTERS, 1986, 56 (18) :1968-1971
[10]  
HALDANE FDM, 1980, PHYS REV LETT, V45, P1358, DOI 10.1103/PhysRevLett.45.1358