Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism

Abstract

Incommensurability plays a critical role in many strongly correlated systems. In some cases, the origin of such exotic order can be theoretically understood in the framework of 1d line-like topological excitations known as ``quantum strings''. Here we study an extended transverse field Ising model on a triangular lattice. Using the large scale quantum Monte Carlo simulations, we find that the spatial anisotropy can stabilize an incommensurate phase out of the commensurate clock order. Our results for the structure factor and the string density exhibit a linear relationship between incommensurate ordering wave vector and the density of quantum strings, which is reminiscent of hole density in under-doped cuprate superconductors. When introducing the next-nearest-neighbor interaction, we observe a quantum tricritical point out of the incommensurate phase. After carefully analyzing the ground state energies within different string topological sectors, we conclude that this tricriticality is non-trivially caused by effective long-range inter-string interactions with two competing terms following different decaying behaviors.

arXiv comment15 pages, 7 figures, comments are welcome and more information at http://cqutp.org/users/xfzhang/

References in corpus (40)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Ising models of quantum frustration
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• Two-dimensional periodic frustrated Ising models in a transverse field
• String patterns in the doped Hubbard model
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Magnetic neutron scattering in hole doped cuprate superconductors
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Cascade of magnetic-field-induced quantum phase transitions in a spin $1/2$ triangular-lattice antiferromagnet
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Frustration and quantum criticality
• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Quantum electric-dipole liquid on a triangular lattice
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• Angle-resolved photoemission spectroscopy of a Fermi-Hubbard system
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• Quantum strings in quantum spin ice
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Phases of triangular lattice antiferromagnet near saturation
• Absence of zero-point entropy in a triangular Ising antiferromagnet
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• Quantum tricriticality at the superfluid-insulator transition of binary Bose mixtures
• Quantum domain walls induce incommensurate supersolid phase on the anisotropic triangular lattice
• Ordering of geometrically frustrated classical and quantum Ising magnets
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• String Picture of a Frustrated Quantum Magnet and Dimer Model
• Spinon walk in quantum spin ice
• Emergent Rokhsar-Kivelson point in realistic quantum Ising models

Cited by in corpus (10)

• Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
• Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
• Quantum optimization within lattice gauge theory model on a quantum simulator
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Exploring the topological sector optimization on quantum computers
• Frustrated Rydberg Atom Arrays Meet Cavity-QED: Emergence of the Superradiant Clock Phase
• Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field
• Quantum colored strings in the hole-doped $t$-$J_z$ model
• Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays