Physics of emergence beyond Berezinskii-Kosterlitz-Thouless transition for interacting topological quantum matter

TL;DR

This paper investigates how electron interactions influence topological quantum phases using renormalization group methods, revealing phase transitions beyond the traditional Berezinskii-Kosterlitz-Thouless paradigm.

Contribution

It demonstrates that electron-electron interactions can induce topological phase transitions, providing new insights into emergent phenomena in interacting topological quantum matter.

Findings

Interactions can turn trivial phases into non-trivial topological phases.

Interactions can cause topological phases to become trivial.

Emergent physics extends beyond BKT transition.

Abstract

An attempt is made to find different emergent quantum phases for interacting topological state of quantum matter. Our study is based on the quantum field theoretical renormalization group (RG) calculations. The behaviour of the RG flow lines gives the emergence of different quantum phases for non-interacting and interacting topological state of quantum matter. We show explicitly electron-electron interaction can turn a topologically trivial phase into a non-trivial one and also topological non-trivial phase to topological trivial phase. We show that physics of emergent is go beyond the quantum Berezinskii-Kosterlitz-Thouless transition. We also present the analysis of fixed point and show the behaviour of fixed point changes in presence and absence of interaction. This work provides a new perspective not only from the topological state of interacting quantum matter and but also for the correlated quantum many body physics.