Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires

Abstract

We calculate the tunneling density of states (TDOS) in a three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed points. This enhancement is physically related to the reflection of holes from the junction for incident electrons, and it occurs only in the vicinity of the junction ($x<v_{\min }/2\omega$ where $v_{\min }$ is the minimum of the velocity of charge or spin excitations and $\omega$ is the bias frequency), crossing over to the bulk value which is always suppressed, at larger distances. The TDOS exponent can be directly probed in a STM experiment by measuring the differential tunneling conductance as a function of either the bias voltage or temperature as done in C. Blumenstein et al. Nature Physics 7, 776 (2011).

10 pages, 3 figures and 2 tables; final version; to appear in PRB

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Cited by in corpus (9)

• From four- to two-channel Kondo effect in junctions of XY spin chains
• Chiral Y junction of quantum spin chains
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
• Tunneling conductance of long-range Coulomb interacting Luttinger liquid
• Efficient Density Matrix Renormalization Group algorithm to study Y-Junctions with integer and half-integer spin
• 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
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction