Superfluid stiffness of superconductors with delicate topology
arXiv:2507.16909 · doi:10.1103/mxk6-mmym
Abstract
We consider superconductivity in two-dimensional delicate topological bands, where the total Chern number vanishes but the Brillouin zone can be divided into subregions with a quantized nontrivial Chern number. We formulate a lower bound on the geometric contribution to the superfluid weight in terms of the sum of the absolute values of these sub-Brillouin zone Chern numbers. We verify this bound in Chern dartboard insulators, where the delicate topology is protected by mirror symmetry. In iso-orbital models, where the mirror representation is the same along all high-symmetry lines, the lower bound increases linearly with the number of mirror planes. This work points to delicate bands as promising candidates for particularly stable superconductivity, especially in narrow bands where the kinetic energy is suppressed due to lattice effects.
arXiv comment7+3 pages, 5 figures
References in corpus (47)
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Topological quantum chemistry
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Superfluidity in topologically nontrivial flat bands
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Superconductivity in rhombohedral trilayer graphene
- Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
- Fragile Topology and Wannier Obstructions
- Geometric origin of superfluidity in the Lieb lattice flat band
- The Insulating State of Matter: A Geometrical Theory
- Band geometry of fractional topological insulators
- Quantum metric-induced nonlinear transport in a topological antiferromagnet
- Band geometry, Berry curvature and superfluid weight
- Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
- Topological surface states in three-dimensional magnetic insulators
- Essay: Where Can Quantum Geometry Lead Us?
- Relations between topology and the quantum metric for Chern insulators
- Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
- Quantum metric and effective mass of a two-body bound state in a flat band
- Fragile topology and flat-band superconductivity in the strong-coupling regime
- Effective theory and emergent symmetry in the flat bands of attractive Hubbard models
- Superfluid weight bounds from symmetry and quantum geometry in flat bands
- Preformed pairs in flat Bloch bands
- Strong coupling nature of kagome superconductivity in LaRuSi
- Quantum geometry in condensed matter
- Bound on resistivity in flat-band materials due to the quantum metric
- The quantum geometric origin of capacitance in insulators
- Symmetry Protected Topological Hopf Insulator and its Generalizations
- Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
- Multicellularity of delicate topological insulators
- Revealing Quantum Geometry in Nonlinear Quantum Materials
- Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
- Pairing and superconductivity in quasi one-dimensional flat band systems: Creutz and sawtooth lattices
- Two-body problem in a multiband lattice and the role of quantum geometry
- Non-Abelian Hopf-Euler insulators
- Anomalous shift and optical vorticity in the steady photovoltaic current
- Instantaneous response and quantum geometry of insulators
- Giant boost of the quantum metric in disordered one dimensional flat band systems
- Superfluid weight in the isolated band limit within the generalized random phase approximation
- Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states
- Flat-band ratio and quantum metric in the superconductivity of modified Lieb lattices
- Drude weight of an interacting flat-band metal
- Quantum-geometric contribution to the Bogoliubov modes in a two-band Bose-Einstein condensate
- Universal Wilson Loop Bound of Quantum Geometry
- Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
- Quantized crystalline-electromagnetic responses in insulators