Quantum spin circulator in Y junctions of Heisenberg chains

Abstract

We show that a quantum spin circulator, a nonreciprocal device that routes spin currents without any charge transport, can be achieved in Y junctions of identical spin-$1/2$ Heisenberg chains coupled by a chiral three-spin interaction. Using bosonization, boundary conformal field theory, and density-matrix renormalization group simulations, we find that a chiral fixed point with maximally asymmetric spin conductance arises at a critical point separating a regime of disconnected chains from a spin-only version of the three-channel Kondo effect. We argue that networks of spin-chain Y junctions provide a controllable approach to construct long-sought chiral spin liquid phases.

arXiv comment9 pages, 3 figures

References in corpus (42)

• The density-matrix renormalization group
• Antiferromagnetic spintronics
• Antiferromagnetic spintronics
• Chiral Quantum Optics
• Electrical switching of an antiferromagnet
• Bosonization and Strongly Correlated Systems
• Fermi-Hubbard physics with atoms in an optical lattice
• Spin pumping and spin-transfer torques in antiferromagnets
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Quantum optical circulator controlled by a single chirally coupled atom
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Magnetization transport and quantized spin conductance
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Observation of spin current in quantum spin liquid
• Junctions of three quantum wires
• Junctions of three quantum wires and the dissipative Hofstadter model
• Dynamical Time-Reversal Symmetry Breaking and Photo-Induced Chiral Spin Liquids in Frustrated Mott Insulators
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• Widely tunable on-chip microwave circulator for superconducting quantum circuits
• On-Chip Microwave Quantum Hall Circulator
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Gapless chiral spin liquid in a kagome Heisenberg model
• Hall Effect Gyrators and Circulators
• Chiral Spin Liquids in Arrays of Spin Chains
• Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
• A junction of three quantum wires: restoring time-reversal symmetry by interaction
• Quantum brownian motion on a triangular lattice and c=2 boundary conformal field theory
• Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
• Quantum spins on star graphs and the Kondo model
• Junctions of three quantum wires for spin 1/2 electrons
• Y-junction of superconducting Josephson chains
• Entanglement structure of the two-channel Kondo model
• Enhancement of tunneling density of states at a junction of three Luttinger liquid wires
• Kondo Effect in Spin Chains
• General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
• Quantum wire junctions breaking time reversal invariance
• Thermodynamics of the Topological Kondo Model
• Density matrix renormalization group algorithms for Y-junctions
• Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at $m=\frac{2}{3}$ magnetization
• A possible realization of multi-channel Kondo model in a system of magnetic chains

Cited by in corpus (8)

• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Spin chain network construction of chiral spin liquids
• Chiral Y junction of quantum spin chains
• Network construction of non-Abelian chiral spin liquids
• Chiral fixed point in a junction of critical spin-1 chains
• Majorana Fermi surface state in a network of quantum spin chains
• Emergent chirality in multi-lead Luttinger-liquid junctions out of equilibrium
• Spin and thermal current scaling at a $Y$-junction of XX spin chains