Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field

Abstract

The XXZ spin-half chain has Heisenberg exchange interactions $J_z$ ($J_{\perp }$) in the $z$ ($x,y$) direction. The model has a transition from the spin-fluid phase for $-J_{\perp }<J_z<J_{\perp }$ to the Néel phase for $J_z>J_{\perp }>0$. When bond alternation $\delta$ is included, the Néel phase transitions to the dimer phase for a finite value of $\delta$. We determine the phase diagram using simple topological indicators related to the polarization of both spins. When a staggered magnetic field $B$ is included, a contour plot of these indicators as a function of $\delta$ and $B$ determine the amount of topological quantized spin pumping around closed circuits in the $(\delta ,B)$ plane.

References in corpus (13)

• Thouless pumping and topology
• Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Spin pumping and measurement of spin currents in optical superlattices
• Extraction of many-body Chern number from a single wave function
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Realization of an extremely anisotropic Heisenberg magnet in Rydberg atom arrays
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Polarization amplitude near quantum critical points
• Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation on a frustrated ferromagnetic spin-$1/2$ chain
• Two-dimensional Thouless pumping in time-space crystalline structures
• Charge and spin gaps of the ionic Hubbard model with density-dependent hopping

Cited by in corpus (3)

• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Anisotropy-driven topological quantum phase transition in magnetic impurities