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.

arXiv comment21 pages, 15 figures

References in corpus (63)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Complexity in Strongly Correlated Electronic Systems
• A Common Thread: the pairing interaction for the unconventional superconductors
• How to detect fluctuating order in the high-temperature superconductors
• Quantum Cluster Theories
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Coexistence of, and Competition between, Superconductivity and Charge-Stripe Order in La(1.6-x)Nd(0.4)Sr(x)CuO(4)
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Competing states in the t-J model: uniform d-wave state versus stripe state
• The Hubbard Model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• The Hubbard model: A computational perspective
• Stripe phases in high-temperature superconductors
• Spatially modulated "Mottness" in La2-xBaxCuO4
• Resonant x-ray scattering studies of charge order in cuprates
• Quantum Monte Carlo method using phase-free random walks with Slater determinants
• Neel order in square and triangular lattice Heisenberg models
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Local Magnetic Order vs. Superconductivity in a Layered Cuprate
• 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
• Landau Theory of Stripe Phases in Cuprates and Nickelates
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Competition between charge/spin-density-wave orders and superconductivity in La${}_{1.875}$Ba${}_{0.125-x}$Sr${}_x$CuO${}_4$
• Strong coupling superconductivity, pseudogap and Mott transition
• Dualities and the phase diagram of the $p$-clock model
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Exploration of doped quantum magnets with ultracold atoms
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Stripes on a 6-Leg Hubbard Ladder
• Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Quantum Critical Points and the Sign Problem
• Spin and charge order in doped Hubbard model: long-wavelength collective modes
• 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
• Cuprate superconductors as viewed through a striped lens
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Finite-Temperature Monte Carlo Calculations For Systems With Fermions
• Finite-temperature Auxiliary-Field Quantum Monte Carlo: Self-Consistent Constraint and Systematic Approach to Low Temperatures
• 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
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Symmetry-projected Wave Functions in Quantum Monte Carlo Calculations
• Spin Density Waves in the Hubbard model - A DMFT approach
• Generic character of charge and spin density waves in superconducting cuprates
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Spin- and charge-density waves in the Hartree-Fock ground state of the two-dimensional Hubbard model
• Metallic and insulating stripes and their relation with superconductivity in the doped Hubbard model
• Deconvolving the components of the sign problem
• 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

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• On the Adequacy of the Dynamical Mean Field Theory for Low Density and Dirac Materials
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• 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
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• 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