Frustration-driven QPT in the 1D extended anisotropic Heisenberg model

TL;DR

This study uses DMRG to analyze how frustration induces two distinct quantum phase transitions in the 1D extended anisotropic Heisenberg model, revealing both smooth and abrupt ground state changes.

Contribution

It demonstrates the occurrence of frustration-driven quantum phase transitions in the 1D extended anisotropic Heisenberg model using DMRG.

Findings

Ground state transitions smoothly from polarized to NNN correlated with increasing NNN interaction.

Abrupt change in ground state when in-plane interaction exceeds out-of-plane interaction.

Identification of two different types of QPTs induced by frustration.

Abstract

By using Density Matrix Renormalization Group (DMRG) technique we study the 1D extended anisotropic Heisenberg model. We find that starting from the ferromagnetic phase, the system undergoes two quantum phase transitions (QPTs) induced by frustration. By increasing the next-nearest-neighbor (NNN) interaction, the ground state of the system changes smoothly from a completely polarized state to a NNN correlated one. On the contrary, letting the in-plane interaction to be greater than the out-of-plane one, the ground state changes abruptly.