25 citations · 42 across the 11 of their papers we have counts for
11 papers
Vacancy-Induced Topological Phase Transition via Valley Annihilation in an Anisotropic Honeycomb Lattice
Anna Hassine, Amit Goft, Boris Rotstein +1
A single missing atom can drive a topological phase transition in a lattice that is otherwise trivial for all values of its parameters. We demonstrate this in a two-dimensional hon…
Local Defects and the Topology of the Haldane Model
Vishesh Makwana, Eric Akkermans
We investigate the interplay between local defects and topology in the Haldane model within the framework of the tenfold classification. The Haldane model realizes a Chern-insulati…
Topological sum rule for geometric phases of quantum gates
Nadav Orion, Boris Rotstein, Nirron Miller +1
We establish a topological sum rule, , connecting the geometric phases accumulated by a two-qubit system over a complete basis of initial states…
Engineering Topological Materials
Amit Goft, Eric Akkermans
The tenfold classification provides a powerful framework for organizing topological phases of matter based on symmetry and spatial dimension. However, it does not offer a systemati…
Topological Winding Numbers from Wavefront Dislocations in Local Electronic Density
Yuval Abulafia, Eric Akkermans
Topological materials are characterized by integer invariants that underpin robust quantized electronic properties, as exemplified by the Chern number in the integer quantum Hall e…
Defects Potentials for Two-Dimensional Topological Materials
Yuval Abulafia, Amit Goft, Nadav Orion +1
For non-topological quantum materials, introducing defects can significantly alter their properties by modifying symmetry and generating a nonzero analytical index, thus transformi…
Topological Tenfold Classification and the Entanglement of Two Qubits
Nadav Orion, Eric Akkermans
We present a constructive method utilizing the Cartan decomposition to characterize topological properties and their connection to two-qubit quantum entanglement, in the framework…
A dual point description of mesoscopic superconductors
E. Akkermans, D. M. Gangardt, K. Mallick
We present an analysis of the magnetic response of a mesoscopic superconductor, i.e. a system of sizes comparable to the coherence length and to the London penetration depth. Our a…
Geometrical description of vortices in Ginzburg-Landau billiards
E. Akkermans, K. Mallick
In these notes we discuss the topological nature of some problems in condensed matter physics. We adopt the language of differential geometry to present this subject and our aim is…
Vortices in Ginzburg-Landau billiards
E. Akkermans, K. Mallick
We present an analysis of the Ginzburg-Landau equations for the description of a two-dimensional superconductor in a bounded domain. Using the properties of a special integrability…
Boundary Conditions for Bulk and Edge States in Quantum Hall Systems
E. Akkermans, J. E. Avron, R. Narevich +1
For two dimensional Schroedinger Hamiltonians we formulate boundary conditions that split the Hilbert space according to the chirality of the eigenstates on the boundary. With magn…