Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model

Abstract

Competing and intertwined orders including inhomogeneous patterns of spin and charge are observed in many correlated electron materials, such as high-temperature superconductors. Introducing a new development of the constrained-path auxiliary-field quantum Monte Carlo (AFQMC) method, we study the interplay between thermal and quantum fluctuations in the two-dimensional Hubbard model. We obtain an accurate and systematic characterization of the evolution of the spin and charge correlations as a function of temperature $T$ and how it connects to the ground state, at three representative doping levels $\delta =1/5$, $1/8$, and $1/10$. We find increasing short-range commensurate antiferromagnetic correlations as $T$ is lowered. As the correlation length grows sufficiently large, a modulated spin-density-wave (SDW) appears. At $\delta =1/5$, the SDW saturates and remains short-ranged as $T\to 0$. In contrast, at $\delta =1/8$ and $1/10$ this evolves into a ground-state stripe phase. We study the relation between spin and charge orders and find that formation of charge order appears to be driven by that of the spin order. We identify a finite-temperature phase transition below which charge ordering sets in and discuss the implications of our results for the nature of this transition.

21 pages, 15 figures

References in corpus (15)

• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
• Quantum Critical Points and the Sign Problem
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Energetics of superconductivity in the two dimensional Hubbard model
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Coupling quantum Monte Carlo and independent-particle calculations: self-consistent constraint for the sign problem based on density or density matrix
• Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
• Spin Density Waves in the Hubbard model - A DMFT approach
• Generic character of charge and spin density waves in superconducting cuprates
• Melting of stripe phases and its signature in the single-particle spectral function
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature

Cited by in corpus (29)

• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Origin and fate of the pseudogap in the doped Hubbard model
• Comprehensive mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• A perspective on machine learning and data science for strongly correlated electron problems
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Superconductivity studied by solving ab initio low-energy effective Hamiltonians for carrier doped CaCuO${}_2$, Bi${}_2$Sr${}_2$CuO${}_6$, Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$, and HgBa${}_2$CuO${}_4$
• Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States
• Quantum algorithms for scientific computing
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• Magnetic phase diagram of the three-dimensional doped Hubbard model
• Phaseless auxiliary-field quantum Monte Carlo method for cavity-QED matter systems
• On the Adequacy of the Dynamical Mean Field Theory for Low Density and Dirac Materials
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Extracting Off-Diagonal Order from Diagonal Basis Measurements
• Thermal Entropy, Density Disorder and Antiferromagnetism of Repulsive Fermions in 3D Optical Lattice
• Static treatment of dynamic interactions in the single-orbital Anderson impurity model
• Accelerating ground-state auxiliary-field quantum Monte Carlo simulations by delayed update and block force-bias update
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Spin-triplet pairing instability in a two-dimensional repulsive Hubbard model
• Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Comparing Symmetrized Determinant Neural Quantum States for the Hubbard Model