Possibility of a Two-Component Tomonaga-Luttinger Liquid in Frustrated Integer-Spin Tubes

TL;DR

This paper predicts the emergence of a two-component Tomonaga-Luttinger liquid in frustrated odd-leg integer-spin tubes under strong magnetic fields, with a phase transition observable as a magnetization cusp.

Contribution

It introduces the concept of a two-component TLL in frustrated spin tubes and describes the conditions for its formation and destruction under magnetic fields.

Findings

Two-component TLL appears when the field exceeds the spin gap due to magnon condensation.

A phase transition to a one-component TLL occurs when the second magnon condenses.

The transition can be detected as a magnetization cusp.

Abstract

Uniform-field effects for frustrated odd-leg integer-spin tubes (cylinder type spin systems) are investigated in the weak interchain-coupling regime. We predict that, as the field exceeds the spin gap, a two-component Tomonaga-Luttinger liquid (TLL) appears due to the condensation of the doubly degenerate lowest magnons. Furthermore, it is argued that when the uniform field is so strong that the second lowest magnons are also condensed, the two-component TLL is destroyed and a new one-component TLL emerges. This quantum phase transition may be detected as a magnetization cusp.