Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study

作者: Monalisa Singh Roy , Manoranjan Kumar , Sourin Das

DOI: 10.1103/PHYSREVB.102.035130

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摘要: It is well known that the pristine bulk of an interacting one-dimensional system in Tomonaga-Luttinger liquid (TLL) phase shows power law suppression quasi-particle tunneling amplitude for all values TLL parameter $g$, zero energy limit. We perform a density matrix renormalization group (DMRG) study fully symmetric Y junction wires and observe anomalous enhancement states (TDOS) vicinity both (a) bosons case (b) fermions case, when $g>1$. also TDOS $g<1$ bosonic fermionic cases. find enhancements follow different laws cases which suggests these represent distinct fixed points, owing to statistical correlations play important role at junction. Analysis static conductance indicates point $1

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