One-dimensional symmetry protected topological phases and their transitions

R Verresen, R Moessner, F Pollmann - Physical Review B, 2017 - APS
We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

Multiscale entanglement renormalization ansatz for spin chains with continuously varying criticality

JC Bridgeman, A O'Brien, SD Bartlett, AC Doherty - Physical Review B, 2015 - APS
We use the multiscale entanglement renormalization ansatz (MERA) to numerically
investigate three critical quantum spin chains with Z 2× Z 2 on-site symmetry: a staggered …

Twice hidden string order and competing phases in the spin-1/2 Kitaev–Gamma ladder

ES Sørensen, HY Kee - npj Quantum Materials, 2024 - nature.com
Finding the Kitaev spin liquid in candidate materials involves understanding the entire
phase diagram, including other allowed interactions. One of these interactions, called the …

Exactly solvable points and symmetry protected topological phases of quantum spins on a zig-zag lattice

H Zou, E Zhao, XW Guan, WV Liu - Physical Review Letters, 2019 - APS
A large number of symmetry-protected topological (SPT) phases have been hypothesized
for strongly interacting spin-1/2 systems in one dimension. Realizing these SPT phases …

Exact Quantization of Topological Order Parameter in Spin Models, -ality Transformation and Ingappabilities

H Su, Y Yao, A Furusaki - Physical Review Letters, 2024 - APS
We show that the ground-state expectation value of twisting operator is a topological order
parameter for U (1)-and ZN-symmetric symmetry-protected topological (SPT) phases in one …

Eleven competing phases in the Heisenberg-Gamma () ladder

SJ Avakian, ES Sørensen - New Journal of Physics, 2024 - iopscience.iop.org
The spin-orbit generated Γ interaction is known to induce strong frustration and to be
significant in realistic models of materials. To gain an understanding of the possible phases …

One- and three-dimensional quantum phase transitions and anisotropy in

S Hayashida, D Blosser, KY Povarov, Z Yan… - Physical Review B, 2019 - APS
Single crystal samples of the frustrated quasi-one-dimensional quantum magnet Rb 2 Cu 2
Mo 3 O 12 are investigated by magnetic, thermodynamic, and electron spin resonance …

Roles of easy-plane and easy-axis XXZ anisotropy and bond alternation in a frustrated ferromagnetic spin- chain

H Ueda, S Onoda - Physical Review B, 2020 - APS
The spin-1/2 Heisenberg chain with a ferromagnetic first-neighbor exchange coupling J 1
and an antiferromagnetic second-neighbor J 2 has a Haldane dimer ground state with an …

Magnetoelectric coupling without long-range magnetic order in the spin- multiferroic

N Reynolds, A Mannig, H Luetkens, C Baines, T Goko… - Physical Review B, 2019 - APS
Rb 2 Cu 2 Mo 3 O 12 is a quasi-one-dimensional frustrated S= 1/2 multiferroic that displays
magnetic field-tunable ferroelectricity with no long-range magnetic order. To interrogate this …

Emergent spin-1 Haldane gap and ferroelectricity in a frustrated spin- ladder

H Ueda, S Onoda, Y Yamaguchi, T Kimura… - Physical Review B, 2020 - APS
We report experimental and theoretical evidence that Rb 2 Cu 2 Mo 3 O 12 has a
nonmagnetic tetramer ground state of a two-leg ladder comprising antiferromagnetically …