Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice

Abstract

The emergence of superconductivity in doped Mott insulators has been debated for decades. In this paper, we report the theoretical discovery of a time-reversal symmetry breaking superconducting ground state in the doped Mott insulator (described by the well known t-J model) on honeycomb lattice, based on a recently developed variational method: the Grassmann tensor product state approach. As a benchmark, we use exact diagonalization and density-matrix renormalization methods to check our results on small clusters. We find systematic consistency for the ground-state energy as well as other physical quantities, such as the staggered magnetization. At low doping, the superconductivity coexists with antiferromagnetic ordering.

7 pages, 9 figures (published version)

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• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Competing many-body instabilities and unconventional superconductivity in graphene
• Tensor-entanglement renormalization group approach to 2D quantum systems
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• Monte Carlo simulation with Tensor Network States
• Fermionic Implementation of Projected Entangled Pair States Algorithm
• Efficient simulation of Grassmann Tensor Product States
• Assessing the accuracy of projected entangled-pair states on infinite lattices

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• Gradient methods for variational optimization of projected entangled-pair states
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• Chiral triplet superconductivity on the graphene lattice
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
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• Coexistence of extended flat band and Kekulé order in Li-intercalated graphene
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Gradient optimization of fermionic projected entangled pair states on directed lattices
• Topological Superconductivity in Two Dimensions with Mixed Chirality
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• Competing orders in the honeycomb lattice $t$-$J$ model
• Exotic pairing symmetry of interacting Dirac fermions on a $\pi$ flux lattice
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• Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders
• Tensor-network algorithm for nonequilibrium relaxation in the thermodynamic limit
• A Multi-Purpose Platform for Analog Quantum Simulation
• Fermionic tensor network contraction for arbitrary geometries
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• Superconductivity of strongly correlated electrons on the honeycomb lattice
• Double exchange, itinerant ferromagnetism and topological Hall effect in moiré heterobilayer
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• Non-centrosymmetric superconductors on honeycomb lattice
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• Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
• Strictly local tensor networks for short-range topological insulators
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Grassmann tensor networks
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• Spin bond order driven by extended repulsive interactions in doped graphene
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$