Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order

Abstract

Understanding the formation of novel pair density waves (PDWs) in strongly correlated electronic systems remains challenging. Recent mean-field studies suggest that PDW phases may arise in strong-coupling multiband superconductors by virtue of the quantum geometric properties of paired electrons. However, scrutiny through sophisticated many-body calculations has been lacking. Employing large-scale density matrix renormalization group calculations, we obtain in the strong-coupling regime the phase diagram as a function of doping concentration and a tuning interaction parameter for a simple two-orbital model that incorporates quantum geometric effects. The phase diagram reveals a robust PDW phase spanning a broad range of parameters, characterized by a Luttinger parameter $K_{sc}\sim 0.3$ and the absence of coexisting competing spin or charge density wave orders. The observed pairing field configuration aligns with the phenomenological understanding that quantum geometry can promote PDW formation. Our study provides the most compelling numerical evidence to date for quantum-geometry-facilitated intrinsic PDW order in strongly correlated systems, paving the way for further exploration of novel PDW orders and quantum geometric effects in such systems.

4 pages, 5 figures, supplementary material

References in corpus (57)

• Topological Insulators
• Topological insulators and superconductors
• Berry Phase Effects on Electronic Properties
• Theory of Intertwined Orders in High Temperature Superconductors
• Superfluidity in topologically nontrivial flat bands
• The Physics of Pair Density Waves
• Geometric origin of superfluidity in the Lieb lattice flat band
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Band geometry, Berry curvature and superfluid weight
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
• Essay: Where Can Quantum Geometry Lead Us?
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Optical Spectral Weight, Phase Stiffness and Tc Bounds for Trivial and Topological Flat Band Superconductors
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Superconductivity, charge density wave, and supersolidity in flat bands with tunable quantum metric
• The Ginzburg-Landau theory of flat band superconductors with quantum metric
• Strong Coupling Limit of the Holstein-Hubbard Model
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Pair density wave order from electron repulsion
• Diamagnetic response and phase stiffness for interacting isolated narrow bands
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• Pair Density Waves from Local Band Geometry
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Quantum-geometry-induced anapole superconductivity
• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Quantum geometric effect on Fulde-Ferrell-Larkin-Ovchinnikov superconductivity
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model
• Superconductivity-induced spectral weight transfer due to quantum geometry
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Pair density wave and reentrant superconducting tendencies originating from valley polarization
• Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Piezoelectric effect and diode effect in anapole and monopole superconductors
• Geometric mass acquisition via quantum metric: an effective band mass theorem for the helicity bands
• Exact solution for finite center-of-mass momentum Cooper pairing
• Charge, bond, and pair density wave orders in a strongly correlated system
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Quantum geometric superfluid weight in multiband superconductors: A microscopic interpretation
• Pair density wave characterized by a hidden string order parameter

Cited by in corpus (6)

• Enhanced Kohn-Luttinger topological superconductivity in bands with nontrivial geometry
• Superconductivity and pair density waves from nearest-neighbor interactions in frustrated lattice geometries
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Identifying Instabilities with Quantum Geometry in Flat Band Systems
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Spin-triplet pair density wave superconductors