63 citations · 144 across the 12 of their papers we have counts for
13 papers
Exotic vortex states and enhancement of orbital upper critical fields in an -wave quasicrystalline superconductor
Takumi Fukushima, Yuki Yamamoto, Nayuta Takemori +3
Quasicrystals possess long-range order without translational symmetry, giving rise to intrinsically inhomogeneous superconducting states. Using the Bogoliubov-de Gennes mean-field…
Metallic mean quasicrystals and their topological invariants
Anuradha Jagannathan
Topological invariants govern many important physical properties in condensed matter systems. In this work, we obtain the complete set of topological invariants for a family of one…
Topological connections between the 2D Quantum Hall problem and the 1D quasicrystal
Anuradha Jagannathan
1D quasicrystals such as the Fibonacci chain have been said to ``inherit" their topological properties from the 2D Quantum Hall problem. Yet, a direct way to see the connection was…
Ground states of a family of frustrated spin models for quasicrystals and their approximants
Anuradha Jagannathan
Many new families of quasicrystal-forming magnetic alloys have been synthesized and studied in recent years. For small changes of composition, the alloys can go from quasiperiodic…
Missing link between the 2D Quantum Hall problem and 1D quasicrystals
Anuradha Jagannathan
This paper discusses a connection between two important classes of materials, namely quasicrystals and topological insulators as exemplified by the Quantum Hall problem. It has bee…
Superconductivity in the Fibonacci Chain
Ying Wang, Gautam Rai, Chris Matsumura +2
Superconductivity was recently reported in several quasicrystalline systems. These are materials which are structurally ordered, but since they are not translationally invariant, t…
Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
Takumi Fukushima, Nayuta Takemori, Shiro Sakai +2
We theoretically study the real-space distribution of the supercurrent that flows under a uniform vector potential in a two-dimensional quasiperiodic structure. This is done by con…
Closing of gaps and gap labeling and passage from molecular states to critical states in a 2D quasicrystal
Anuradha Jagannathan
The single electron spectrum and wavefunctions in quasicrystals continue to be a fascinating problem, with few known solutions, especially in two and higher dimensions. This paper…
Induced superconducting pair correlations in a quasicrystal coupled to a BCS superconductor
Gautam Rai, Stephan Haas, Anuradha Jagannathan
In this report, we describe the proximity effect which arises when a quasicrystal is placed in contact with a superconductor. We consider the simplest known model of a quasicrystal…
Less singular quasicrystals: life in low codimensions
A. Jagannathan
The Rauzy tilings were proposed recently in a generalisation of the Fibonacci chain by Vidal and Mosseri. These tilings have a particularly simple theoretical description, making t…
Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling
A. Jagannathan, H. J. Schulz
We consider the Hubbard model for electrons in a two-dimensional quasiperiodic tiling using the Hartree--Fock approximation. Numerical solutions are obtained for the first three sq…
Analytical results for Scaling Properties of the Spectrum of the Fibonacci Chain
F. Piéchon M. Benakli, A. Jagannathan
We solve the approximate renormalisation group found by Qiu Niu and Franco Nori(Phys. Rev. Lett. 57 2057(1986)) for a tight-binding hamiltonian on the Fibonacci chain. This enables…
Energy level statistics of electrons in a 2D quasicrystal
Frederic Piechon, Anuradha Jagannathan
A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different…