Semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals

被引:10
作者
Blawid, S
Deppeler, A
Millis, AJ
机构
[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Math Phys, D-38106 Braunschweig, Germany
[2] Rutgers State Univ, Dept Phys & Astron, Ctr Mat Theory, Piscataway, NJ 08854 USA
[3] Columbia Univ, Dept Phys, New York, NY 10027 USA
来源
PHYSICAL REVIEW B | 2003年 / 67卷 / 16期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.67.165105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We propose a semiclassical approach based on the dynamical mean-field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly, whereas the quantum (dynamical) modes are expanded to the second order and give rise to an effective semiclassical potential. We determine the limits of validity of the approximation, and demonstrate its usefulness by calculating the temperature dependent resistivity in the Fermi-liquid to polaron crossover regime (leading to "saturation behavior") and also isotope effects on electronic properties including the spectral function, resistivity, and optical conductivity, problems beyond the scope of conventional diagrammatic perturbation theories.
引用
收藏
页数:11
相关论文
共 29 条
[1]   FROM ELECTRON TO SMALL POLARON - AN EXACT CLUSTER SOLUTION [J].
ALEXANDROV, AS ;
KABANOV, VV ;
RAY, DK .
PHYSICAL REVIEW B, 1994, 49 (14) :9915-9923
[2]   Isotope effect on properties of CMR manganites [J].
Belova, LM .
JOURNAL OF SUPERCONDUCTIVITY, 2000, 13 (02) :305-312
[3]   Holstein model in infinite dimensions at half-filling [J].
Benedetti, P ;
Zeyher, R .
PHYSICAL REVIEW B, 1998, 58 (21) :14320-14334
[4]   Gap to transition-temperature ratio in density-wave ordering: A dynamical mean-field study [J].
Blawid, S ;
Millis, A .
PHYSICAL REVIEW B, 2000, 62 (04) :2424-2428
[5]   Quantum phonons and the charge-density-wave transition temperature: A dynamical mean-field study [J].
Blawid, S ;
Millis, AJ .
PHYSICAL REVIEW B, 2001, 63 (11)
[6]   Saturation of electrical resistivity in metals at large temperatures [J].
Calandra, M ;
Gunnarsson, O .
PHYSICAL REVIEW LETTERS, 2001, 87 (26) :266601-1
[7]   Charge-ordered state from weak to strong coupling [J].
Ciuchi, S ;
de Pasquale, F .
PHYSICAL REVIEW B, 1999, 59 (08) :5431-5440
[8]   OPTICAL-PROPERTIES OF THE ALKALI-METAL-DOPED SUPERCONDUCTING FULLERENES - K3C60 AND RB3C60 [J].
DEGIORGI, L ;
NICOL, EJ ;
KLEIN, O ;
GRUNER, G ;
WACHTER, P ;
HUANG, SM ;
WILEY, J ;
KANER, RB .
PHYSICAL REVIEW B, 1994, 49 (10) :7012-7025
[9]   Electron-phonon interactions in correlated systems: Adiabatic expansion of the dynamical mean-field theory [J].
Deppeler, A ;
Millis, AJ .
PHYSICAL REVIEW B, 2002, 65 (10) :1-4
[10]   Dynamical mean-field theory of electron-phonon interactions in correlated systems: Application to isotope effects on electronic properties [J].
Deppeler, A ;
Millis, AJ .
PHYSICAL REVIEW B, 2002, 65 (22) :1-6