Discrete translational invariance and an equidistant energy spectrum are necessary and sufficient for perfect chiral circulation in N-site quantum rings, from which a closed-form Hamiltonian follows.
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5 Pith papers cite this work. Polarity classification is still indexing.
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Driven-dissipative bosonic lattices enable reconstruction of a coarse-grained energy-resolved Středa marker that reveals quantum-geometric features of topological bands even under strong disorder.
In the 3D Hofstadter-Hubbard model, superconductivity occurs for arbitrarily weak attraction below the critical flux for Weyl points with BCS-like gap scaling, but requires finite interaction strength above it.
Nonminimal couplings in the Dirac equation generate effective Rashba Hamiltonians from both electric and magnetic fields in 1D rings, enabling exact energy levels, Aharonov-Anandan phases, persistent spin currents, and order-of-magnitude bounds on the couplings g1 and g2.
Wave-packet dynamics in an extended graphene tight-binding model reveals the structure, emergence, and winding numbers of Dirac, hybrid, and parabolic points.
citing papers explorer
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Chiral Quantum Transport with Perfect Circulation: From Floquet Engineering toAnyonic Dynamics
Discrete translational invariance and an equidistant energy spectrum are necessary and sufficient for perfect chiral circulation in N-site quantum rings, from which a closed-form Hamiltonian follows.
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Energy-Resolved Quantum Geometry from St\v{r}eda Response: Driven-Dissipative Bosonic Lattices and Disordered Systems
Driven-dissipative bosonic lattices enable reconstruction of a coarse-grained energy-resolved Středa marker that reveals quantum-geometric features of topological bands even under strong disorder.
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Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points
In the 3D Hofstadter-Hubbard model, superconductivity occurs for arbitrarily weak attraction below the critical flux for Weyl points with BCS-like gap scaling, but requires finite interaction strength above it.
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Geometric Phases and Persistent Spin Currents from nonminimal couplings
Nonminimal couplings in the Dirac equation generate effective Rashba Hamiltonians from both electric and magnetic fields in 1D rings, enabling exact energy levels, Aharonov-Anandan phases, persistent spin currents, and order-of-magnitude bounds on the couplings g1 and g2.
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Dynamically Characterizing the Structures of Dirac Points via Wave Packets
Wave-packet dynamics in an extended graphene tight-binding model reveals the structure, emergence, and winding numbers of Dirac, hybrid, and parabolic points.