Density matrix renormalization group algorithms for Y-junctions

Abstract

Systems of Y-junctions are interesting both from a fundamental viewpoint and because of their potential use in nanoscale devices. These systems can be studied numerically with the density matrix renormalization group(DMRG), but existing algorithms are inefficient. Here, we introduce a much more efficient DMRG algorithm for Y-junction systems. As an example of the use of this method, we study $S=1/2$ bound states in Heisenberg S=1 junctions with two geometries, one where the junction consists of a single site, and the other where it consists of a triangle of three sites.

4 pages, 5 figures

References in corpus (8)

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Cited by in corpus (18)

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• Duality between normal and superconducting junctions of multiple quantum wires
• Spectral functions for single- and multi-Impurity models using DMRG
• Comb tensor networks
• Thermodynamics of the Topological Kondo Model
• How to find conductance tensors of quantum multi-wire junctions through static calculations: application to an interacting Y-junction
• Matrix product state approach for a two-lead, multi-level Anderson impurity model
• Chiral Y junction of quantum spin chains
• Quantum spin circulator in Y junctions of Heisenberg chains
• Efficient Density Matrix Renormalization Group algorithm to study Y-Junctions with integer and half-integer spin
• Chiral fixed point in a junction of critical spin-1 chains
• Critical properties of a comb lattice
• Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study
• Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction