Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg chain

Ariel Dobry; Akbar Jaefari; Eduardo Fradkin

doi:10.1103/PhysRevB.87.245102

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Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg chain

Ariel Dobry, Akbar Jaefari, Eduardo Fradkin

DOI 10.1103/PhysRevB.87.245102 · Physical Review B

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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-12 Luttinger liquid coupled by a Kondo exchange interaction JK to a frustrated quantum antiferromagnetic Heisenberg chain, with a nearest-neighbor exchange coupling J1 and a next-nearest-neighbor (frustrating) exchange interaction J2. We analyze the interplay of quantum frustration in the antiferromagnetic chain with the Kondo exchange coupling JK with the Luttinger liquid. We discuss the structure of the phase diagram of this system as a function of the ratios JK/J1, J2/J1, 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.