Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders

Abstract

Motivated by dimensional crossover in layered organic $\kappa$ salts, we determine the phase diagram of a system of four periodically coupled Hubbard chains with frustration at half filling as a function of the interchain hopping $t_{\perp }/t$ and interaction strength $U/t$ at a fixed ratio of frustration and interchain hopping $t^{\prime }/t_{\perp }=-0.5$. We cover the range from the one-dimensional limit of uncoupled chains ($t_{\perp }/t=0.0$) to the isotropic model ($t_{\perp }/t=1.0$). For strong $U/t$, we find an antiferromagnetic insulator; in the weak-to-moderate-interaction regime, the phase diagram features quasi-one-dimensional antiferromagnetic behavior, an incommensurate spin-density wave, and a metallic phase as $t_{\perp }/t$ is increased. We characterize the phases through their magnetic ordering, dielectric response, and dominant static correlations. Our analysis is based primarily on a variant of the density-matrix renormalization-group algorithm based on an efficient hybrid-real-momentum-space formulation, in which we can treat relatively large lattices albeit of a limited width. This is complemented by a variational cluster approximation study with a cluster geometry corresponding to the cylindrical lattice allowing us to directly compare the two methods for this geometry. As an outlook, we make contact with work studying dimensional crossover in the full two-dimensional system.

arXiv comment16 pages, 16 figures

References in corpus (50)

• The density-matrix renormalization group in the age of matrix product states
• Area laws for the entanglement entropy - a review
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Quantum Cluster Theories
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Density matrix embedding: A simple alternative to dynamical mean-field theory
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Self-energy-functional approach to systems of correlated electrons
• Variational cluster approach to correlated electron systems in low dimensions
• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Revision of model parameters for kappa-type charge transfer salts: an ab initio study
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• The N-chain Hubbard Model in Weak Coupling
• Density-matrix renormalization-group method in momentum space
• Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature
• Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Dielectric catastrophe at the Mott transition
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Path-Integral Renormalization Group Method for Numerical Study on Ground States of Strongly Correlated Electronic Systems
• Stripe formation in doped Hubbard ladders
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Spin-liquid versus spiral-order phases in the anisotropic triangular lattice
• Density matrix renormalization group on a cylinder in mixed real and momentum space
• Ab initio two-dimensional multiband low-energy models of EtMe_3Sb[Pd(dmit)_2]_2 and κ-(BEDT-TTF)_2Cu(NCS)_2 with comparisons to single-band models
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Confined Coherence in Strongly Correlated Anisotropic Metals
• On a Renormalization Group Approach to Dimensional Crossover
• Mott transition in one dimension: Benchmarking dynamical cluster approaches
• Electronic properties of Fabre charge-transfer salts under various temperature and pressure conditions
• Entanglement structure of the Hubbard model in momentum space
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Variational cluster approach to ferromagnetism in infinite dimensions and in one-dimensional chains
• Magnetic properties and Mott transition in the square-lattice Hubbard model with frustration
• Incommensurate spiral magnetic order on anisotropic triangular lattice: Dynamical mean field study in a spin-rotating frame
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
• Dimensional crossover and deconfinement in Bechgaard salts
• Universality Class of the Mott Transition
• Mott Quantum Criticality in the Anisotropic 2D Hubbard Model
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Metal-Insulator Transition in the Hubbard Model: Correlations and Spiral Magnetic Structures
• Possible phases of two coupled n-component fermionic chains
• Character of frustration on magnetic correlation in doped Hubbard model

Cited by in corpus (4)

• Thermodynamics and magnetism in the 2D-3D crossover of the Hubbard model
• Finite Projected Entangled Pair States for the Hubbard model
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Emergent SU(3) symmetry in a four leg spin tube