Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
arXiv:2008.07674 · doi:10.1016/j.nuclphysb.2020.115192
Abstract
We derive the topological Kondo Hamiltonian describing a Y junction of three XX-spin chains connected to outer quantum Ising chains with different tilting angles for the Ising axis. We show that the tilting angles in the spin models play the role of the phases of the superconducting order parameters at the interfaces between bulk superconductors and one-dimensional conducting normal electronic wires. As a result, different tilting angles induce nonzero equilibrium spin (super)currents through the junction. Employing the renormalization group approach to the topological Kondo model, we derive the scaling formulas for the equilibrium spin currents. We argue that, by monitoring the crossover in the currents induced by the Kondo effect, it is possible to estimate the Kondo screening length. In particular, we prove how it is possible to tune the Kondo length by acting on the applied phases only; this enables us to map out the scaling properties by just tuning the tilting angles and the Kondo length accordingly.
arXiv comment43 pages, 10 .eps figures
References in corpus (51)
- Unpaired Majorana fermions in quantum wires
- Kondo Physics in a Single Electron Transistor
- A Tunable Kondo Effect in Quantum Dots
- The numerical renormalization group method for quantum impurity systems
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- AC JOSEPHSON EFFECT IN A SINGLE QUANTUM CHANNEL
- Topological Kondo effect with Majorana fermions
- Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
- Junctions of three quantum wires
- Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
- Junctions of three quantum wires and the dissipative Hofstadter model
- New quantum phases in a one-dimensional Josephson array
- Pedestrian Approach to the Two-Channel Kondo Model
- Andreev scattering and Josephson current in a one-dimensional electron liquid
- Negativity as the Entanglement Measure to Probe the Kondo Regime in the Spin-Chain Kondo Model
- Entanglement probe of two-impurity Kondo physics in a spin chain
- Multi-channel Kondo impurity dynamics in a Majorana device
- Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
- Tunneling through an Anderson impurity between superconductors
- Quantum spins on star graphs and the Kondo model
- The Josephson current in Luttinger liquid-superconductor junctions
- Y-junction of superconducting Josephson chains
- Effective Boundary Field Theory for a Josephson Junction Chain with a Weak Link
- Frustration of decoherence in -shaped superconducting Josephson networks
- Bethe ansatz solution of the topological Kondo model
- Kondo Effect in Spin Chains
- Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
- Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
- Tunneling spectroscopy of Majorana-Kondo devices
- Algebra of Majorana Doubling
- Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
- Thermodynamics of the Topological Kondo Model
- From four- to two-channel Kondo effect in junctions of XY spin chains
- Kondo effect in XXZ spin chains
- Enhanced Coherence of a Quantum Doublet Coupled to Tomonaga-Luttinger Liquid Leads
- Screening Clouds and Majorana Fermions
- Josephson current through a long quantum wire
- Pairing of Cooper pairs in a Josephson junction network containing an impurity
- XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
- Boundary Field Theory Approach to the Renormalization of SQUID Devices
- Topological Kondo effect in star junctions of Ising magnetic chains. Exact solution
- Realization of a two-channel Kondo model with Josephson junction networks
- Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
- Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor
- The dc Josephson current in a long multi-channel quantum wire
- Majorana boundary modes in Josephson junctions arrays with gapless bulk excitations
- From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
- Josephson versus Kondo coupling in a quantum dot connected to two superconductors
- Kondo Length in Bosonic Lattices
- Theory of topological spin Josephson junctions
- Hamiltonian theory of the strongly-coupled limit of the Kondo problem in the overscreened case
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