journal article·2024-02-16Open access

Quantum order by disorder in frustrated spin nanotubes

João C. Getelina, Zekun Zhuang, Premala Chandra, Piers Coleman, Peter P. Orth, S. L. Sondhi

Physical Review B· Volume 109· Issue 7

Abstract

We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a ${J}1\text{\ensuremath{-}}{J}2$ Heisenberg model at ${45}^{\ensuremath{\circ}}$ around a cylinder. Using Schwinger boson theory and density matrix renormalization group (DMRG), we have computed the ground-state phase diagram to reveal a ${\mathbb{Z}}2$ phase in which collinear spin stripes form a right- or left-handed helix around the nanotube. We have derived an analytic estimate for the critical ${\ensuremath{\eta}}c={J}1/2{J}2$ of the ${\mathbb{Z}}2$-helical phase transition, which is in agreement with the DMRG results. By evaluating the entanglement spectrum and nonlocal string order parameters we discuss the topology of the ${\mathbb{Z}}2$-helical phase.
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Research context

OpenAlex topics: Physics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Ames National Laboratory, Ames, Iowa 50011, USA

Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA

Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, United Kingdom

Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

Department of Physics, Saarland University, 66123 Saarbrücken, Germany

Rudolf Peierls Center for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

Funding

U.S. Department of Energy · National Energy Research Scientific Computing Center · Basic Energy Sciences · National Science Foundation · Leverhulme Trust

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