Quantum phases of a frustrated four-leg spin tube

Abstract

We study the ground state phase diagram of a frustrated spin-1/2 four-leg tube. Using a variety of complementary techniques, namely density matrix renormalization group, exact diagonalization, Schwinger boson mean field theory, quantum Monte-Carlo and series expansion, we explore the parameter space of this model in the regime of all-antiferromagnetic exchange. In contrast to unfrustrated four-leg tubes we uncover a rich phase diagram. Apart from the Luttinger liquid fixed point in the limit of decoupled legs, this comprises several gapped ground states, namely a plaquette, an incommensurate, and an antiferromagnetic quasi spin-2 chain phase. The transitions between these phases are analyzed in terms of total energy and static structure factor calculations and are found to be of (weak) first order. Despite the absence of long range order in the quantum case, remarkable similarities to the classical phase diagram are uncovered, with the exception of the icommensurate regime, which is strongly renormalized by quantum fluctuations. In the limit of large leg exchange the tube exhibits a deconfinement cross-over from gapped magnon like excitations to spinons.

11 pages, 11 figures

References in corpus (13)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
• Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
• Symplectic N and time reversal in frustrated magnetism
• Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method
• Heat capacity uncovers physics of a frustrated spin tube
• Quantum spin nanotubes -- frustration, competing orders and criticalities
• Plaquette Order in the J1-J2-J3 model: a series expansion analysis
• Dimensional crossover in a spin liquid to helimagnet quantum phase transition
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Series Expansion Analysis of a Frustrated Four-Spin-Tube
• Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets

Cited by in corpus (5)

• Spin frustration of a spin-1/2 Ising-Heisenberg three-leg tube as an indispensable ground for thermal entanglement
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Magnetization plateaux and jumps in a frustrated four-leg spin tube under a magnetic field
• Quantum order by disorder in Frustrated Spin Nanotubes
• Geometrically Frustrated Anisotropic Four-Leg Spin-$1/2$ Nanotube