Spin loop-current textures in Hubbard models

doi:10.1103/PhysRevB.108.195118

2023-11-09

DOI：10.1103/PhysRevB.108.195118

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The recent experimental observations of loop current in Sr2IrO4, YBa2Cu3O7, and Sr14Cu24O41 have inspired a theoretical study that broadly redefines loop current as a manifestation of quantum liquid crystals. Using the density-matrix renormalization group method, we investigate the emergence of spin loop-current (sLC) textures in carrier-doped (i) excitonic insulators, (ii) orbital-selective Mott insulators, and (iii) two-dimensional Mott insulators, modeled by a two-orbital Hubbard model on a ladder lattice in (i) and (ii) and a single-orbital Hubbard model on a square lattice in (iii). Calculating the spatial distribution of spin current around a bond to which a pinning field is applied, we find conditions for longer-ranged sLC correlations. In system (i), when using the model parameters employed to describe the excitonic condensation, we find that a sLC texture appears near half-filling, associated with an excitonic condensation in a spin channel. In system (ii), using typical sets of model parameters for BaFe2Se3, we find that a sLC texture appears at electron fillings where a block-type antiferromagnetism develops. In system (iii), introducing a next-nearest-neighbor hopping t' similar to -0.25 (in units of the nearest-neighbor hopping) suggested for high-T-c cuprates, we find that an axial-sLC texture emerges at hole-carrier density delta = 0.125, where the charge stripe simultaneously appears.

Keyword:

FERMI-SURFACE INSTABILITIES

LARGE-N LIMIT

T-J MODEL

SYMMETRY-BREAKING

PHASE

SUPERCONDUCTIVITY

POMERANCHUK

STRIPES

ORDER

FIELD