Phase diagram and critical behavior of Hubbard model on the square-hexagon-octagon lattice
arXiv:2401.00258 · doi:10.1103/PhysRevB.109.155122
Abstract
Employing the projective formalism of determinant quantum Monte Carlo (DQMC) simulations, we meticulously explore the ground-state phase diagram and critical behavior of the half-filled Hubbard model on a square-hexagon-octagon (SHO) lattice. This lattice, a two-dimensional (2D) structure comprising squares, hexagons, and octagons, is representative of the biphenylene network (BPN). Our findings reveal an intriguing ground-state phase diagram, featuring an antiferromagnetic (AFM) Mott insulating phase enveloped by three valence-bond solid-like (VBS-like) insulating phases. Analyzing the single-particle gap, spin gap, and single-particle spectral function, we observe that the metallic state in the noninteracting case becomes unstable under the influence of Hubbard U. This interaction drives the system into a hexagon insulating phase before transitioning into an AFM Mott insulating phase. To quantify the critical exponents, we use finite-size scaling techniques. The critical exponents of quantum critical points between the AFM Mott insulating phase and two insulating phases, plaquette insulator and ethylene insulator, closely align with the 3D O(3) universality class. However, the critical exponents of quantum critical points between the hexagon insulating phase and the AFM Mott insulating phase deviate from the 3D O(3) universality class. This deviation is a finite-size effect and can be attributed to the coupling between the fluctuations of magnetic order parameter and very low-energy fermionic excitations. Our comprehensive study not only advances the understanding of correlation effects on the SHO lattice but also sheds light on the less-explored critical exponents in weakly insulating quantum critical point.
References in corpus (43)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Type-II Weyl Semimetals
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Experimental Realization of a Three-Dimensional Dirac Semimetal
- Classification of stable three-dimensional Dirac semimetals with nontrivial topology
- Quantum phase transitions
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- Interactions and phase transitions on graphene's honeycomb lattice
- Computational Studies of Quantum Spin Systems
- Critical exponents and equation of state of the three-dimensional Heisenberg universality class
- Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
- Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
- A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
- Relativistic Mott criticality in graphene
- Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
- Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
- Four-loop critical exponents for the Gross-Neveu-Yukawa models
- High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
- Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
- The phase diagram of the hexagonal lattice quantum dimer model
- Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
- BCS-BEC crossover on the two-dimensional honeycomb lattice
- Bayesian Inference in the Scaling Analysis of Critical Phenomena
- Is magic-angle twisted bilayer graphene near a quantum critical point?
- Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
- Critical exponents of the quantum phase transition in a planar antiferromagnet
- Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
- Unconventional Quantum Critical Points
- Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
- Single-orbital realization of high-temperature superconductivity in the square-octagon lattice
- Electronic structure, magnetism and high-temperature superconductivity in the multi-layer octagraphene and octagraphite
- A theoretical investigation on the transport properties of armchair biphenylene nanoribbons
- Criticality and scaling corrections for two-dimensional Heisenberg models in plaquette patterns with strong and weak couplings
- Type-II Dirac points and Dirac nodal loops on the magnons of square-hexagon-octagon lattice
- QMC study of the chiral Heisenberg Gross-Neveu universality class
- Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice