DMRG evaluation of the Kubo formula -: Conductance of strongly interacting quantum systems

DMRG evaluation of the Kubo formula -: Conductance of strongly interacting quantum systems
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DOI:
10.1209/epl/i2005-10377-6
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发表时间:
2006-01-01
期刊:
EUROPHYSICS LETTERS
影响因子:
--
通讯作者:
Wölfle, P
Wölfle, P
中科院分区:
其他
文献类型:
--
作者:
Bohr, D;Schmitteckert, P;Wölfle, P

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在本文中,我们提出了一种新的方法相结合的线性响应理论(Kubo)的电导和密度矩阵重整化群(DMRG)。所考虑的系统是一维的,由非相互作用的紧密结合的铅耦合到一个相互作用的纳米结构通过弱连接。电子被视为无自旋费米子,并使用两种不同的关联函数来计算电导。精确的对角化计算在非相互作用的限制作为一个基准,我们结合久保和DMRG方法在这个限制。包括弱相互作用和强相互作用,我们提出了DMRG结果的一个扩展的纳米结构组成的七个网站。对于强相互作用的结构,给出了一个简单的解释的位置的共振的硬核粒子在晶格上自由移动的尺寸减小。
In this paper we present a novel approach combining linear response theory (Kubo) for the conductance and the Density Matrix Renormalization Group (DMRG). The system considered is one-dimensional and consists of non-interacting tight-binding leads coupled to an interacting nanostructure via weak links. Electrons are treated as spinless fermions and two different correlation functions are used to evaluate the conductance. Exact diagonalization calculations in the non-interacting limit serve as a benchmark for our combined Kubo and DMRG approach in this limit. Including both weak and strong interaction we present DMRG results for an extended nanostructure consisting of seven sites. For the strongly interacting structure a simple explanation of the position of the resonances is given in terms of hard-core particles moving freely on a lattice of reduced size.