Synthetic Hall tube of interacting fermions

TL;DR

This paper explores the complex many-body physics of interacting fermions in a synthetic Hall tube, revealing new topological and magnetic phases driven by inter-leg couplings and spin-tensor Zeeman fields, using advanced numerical methods.

Contribution

It predicts four novel quantum phases in a synthetic Hall tube, combining topological and magnetic properties, and analyzes phase transitions induced by interactions and couplings.

Findings

Identification of four new quantum phases.

Revelation of topological and magnetic phase transitions.

Use of entanglement measures to characterize phases.

Abstract

Motivated by a recent experiment [J. H. Han, et. al., Phys. Rev. Lett.122, 065303 (2019)], we investigate many-body physics of interacting fermions in a synthetic Hall tube, using state-of-the-art density-matrix renormalization-group numerical method. Since the inter-leg couplings of this synthetic Hall tube generate an interesting spin-tensor Zeeman field, exotic topological and magnetic properties occur. Especially, four new quantum phases, such as nontopological spin-vector and -tensor paramagnetic insulators, and topological and nontopological spin-mixed paramagnetic insulators, are predicted by calculating entanglement spectrum, entanglement entropies, energy gaps, and local magnetic orders with 3 spin-vectors and 5 spin-tensors. Moreover, the topologically magnetic phase transitions induced by the interaction as well as the inter-leg couplings are also revealed. Our results pave a new way to explore many-body (topological) states induced by both the spiral spin-vector and -tensor Zeeman fields.