Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg chain

Abstract

We use bosonization and renormalization group methods to determine the ground state phase diagram of a one-dimensional frustrated Kondo-Heisenberg system consisting of a one-dimensional spin-1/2 Luttinger liquid coupled by a Kondo exchange interaction $J_K$ to a frustrated quantum antiferromagnetic Heisenberg chain, with a nearest-neighbor exchange coupling $J_1$ and a next-nearest-neighbor (frustrating) exchange interaction $J_2$. We analyze the interplay of quantum frustration in the antiferromagnetic chain with the Kondo exchange coupling $J_K$ with the Luttinger liquid. We discuss the structure of the phase diagram of this system as a function of the ratios $J_K/J_1$, $J_2/J_1$ and of the parameters of the Luttinger liquid. In particular we discuss in detail the regimes in which a pair-density-wave state may be realized and its relation with the spin correlations in the frustrated antiferromagnetic chain.

16 pages, 1 figure, 39 references; v2 with a new paragraph. Published version

References in corpus (5)

• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Ordering in spatially anisotropic triangular antiferromagnets
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet

Cited by in corpus (8)

• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Haldane phase in one-dimensional topological Kondo insulators
• Ground-state and spectral properties of an asymmetric Hubbard ladder
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Correlations and confinement of excitations in an asymmetric Hubbard ladder
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Recent Progress in Cosmology and Particle Astrophysics