Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach

Abstract

We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $\sigma t$-$J$ model, in which the no-double-occupancy constraint remains unchanged but the quantum phase string effect associated with doped holes is precisely switched off. Thus, the ground state of the $\sigma t$-$J$ model can serve as a well-controlled reference state of the standard $t$-$J$ model. In the absence of phase string, the spin long-range antiferromagnetic (AFM) order is found to be essentially decoupled from the doped holes, and the latter contribute to a Fermi-liquid-like compressibility and a coherent single-particle propagation with a markedly reduced pairing tendency. In contrast, our TN calculations of the $t$-$J$ model indicate that the AFM order decreases much faster with doping and the single-particle propagation of doped holes gets substantially suppressed, concurrently with a much stronger charge compressibility at small doping and a significantly amplified Cooper pairing tendencies. These findings demonstrate that quantum many-body interference from phase strings plays a pivotal role in the $t$-$J$ model, mediating long-range entanglement between spin and charge degrees of freedom.

12 pages, 11 figures

References in corpus (38)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Tensor networks for complex quantum systems
• Simulating Lattice Gauge Theories within Quantum Technologies
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Variational optimization algorithms for uniform matrix product states
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography
• Finite-density lattice QCD and sign problem: current status and open problems
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Towards Quantum Simulating QCD
• Faster Methods for Contracting Infinite 2D Tensor Networks
• Fermionic Matrix Product States and One-Dimensional Topological Phases
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Electron pairing in the pseudogap state revealed by shot noise in copper-oxide junctions
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• On the sign structure of doped Mott insulators
• Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO${}_3$
• Fermionic projected entangled-pair states and topological phases
• Efficient simulation of Grassmann Tensor Product States
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Mottness collapse and statistical quantum criticality
• Variational methods for contracting projected entangled-pair states
• Strong correlation induced charge localization in antiferromagnets
• Emergence of non-Fermi-liquid behavior due to Fermi surface reconstruction in the underdoped cuprate superconductors
• Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Hidden spin current in doped Mott antiferromagnets
• Fermionic tensor network methods
• Competing orders in the honeycomb lattice $t$-$J$ model
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• A tensor network approach to 2D bosonization
• Charge-spin mutual entanglement: A case study by exact diagonalization of the one hole doped $t$-$J$ loop
• First-principle construction of U(1) symmetric matrix product states

Cited by in corpus (1)

• Grassmann tensor networks