Nonequilibrium Dynamical Mean-Field Theory: An Auxiliary Quantum Master Equation Approach

被引:113
作者
Arrigoni, Enrico [1 ]
Knap, Michael [1 ]
von der Linden, Wolfgang [1 ]
机构
[1] Graz Univ Technol, Inst Theoret & Computat Phys, A-8010 Graz, Austria
基金
奥地利科学基金会;
关键词
RENORMALIZATION-GROUP; SYSTEMS; TRANSPORT; DIMENSIONS; LIGHT; ATOMS;
D O I
10.1103/PhysRevLett.110.086403
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a versatile method to compute electronic steady-state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is mapped onto an auxiliary nonequilibrium impurity problem imbedded in a Markovian environment. The steady-state Green's function of the auxiliary system is solved by full diagonalization of the corresponding Lindblad equation. The approach can be regarded as the nontrivial extension of the exact-diagonalization-based DMFT to the nonequilibrium case. As a first application, we consider an interacting Hubbard layer attached to two metallic leads and present results for the steady-state current and the nonequilibrium density of states. DOI: 10.1103/PhysRevLett.110.086403
引用
收藏
页数:6
相关论文
共 66 条
[1]   Real-time dynamics in quantum-impurity systems: A time-dependent numerical renormalization-group approach [J].
Anders, FB ;
Schiller, A .
PHYSICAL REVIEW LETTERS, 2005, 95 (19)
[2]   Steady-state currents through nanodevices: A scattering-states numerical renormalization-group approach to open quantum systems [J].
Anders, Frithjof B. .
PHYSICAL REVIEW LETTERS, 2008, 101 (06)
[3]   First-principles calculations of the electronic structure and spectra of strongly correlated systems: dynamical mean-field theory [J].
Anisimov, VI ;
Poteryaev, AI ;
Korotin, MA ;
Anokhin, AO ;
Kotliar, G .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1997, 9 (35) :7359-7367
[4]   Nonequilibrium cluster perturbation theory [J].
Balzer, Matthias ;
Potthoff, Michael .
PHYSICAL REVIEW B, 2011, 83 (19)
[5]   Non-linear dynamics of semiconductor superlattices [J].
Bonilla, LL ;
Grahn, HT .
REPORTS ON PROGRESS IN PHYSICS, 2005, 68 (03) :577-683
[6]  
Breuer H.-P., 2009, The Theory of Open Quantum Systems
[7]   Quantum quenches in extended systems [J].
Calabrese, Pasquale ;
Cardy, John .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[8]  
Carmichael H., 1993, OPEN SYSTEMS APPROAC
[9]  
Carmichael H. J., 2002, TEXTS MONOGRAPHS PHY, V1
[10]   Evidence for a structurally-driven insulator-to-metal transition in VO2:: A view from the ultrafast timescale -: art. no. 161102 [J].
Cavalleri, A ;
Dekorsy, T ;
Chong, HHW ;
Kieffer, JC ;
Schoenlein, RW .
PHYSICAL REVIEW B, 2004, 70 (16) :1-4