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Lecture Notes on Topological Crystalline Insulators
We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like mirror or ...
Frank Schindler +7 more
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Topological Anderson Insulator in Three Dimensions [PDF]
Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably, under certain
Franz, M. +3 more
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Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases
We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, the Hamiltonian yields bulk dyonic string-like excitations that terminate at gapped boundaries.
Alex Bullivant, Clement Delcamp
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Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material.
Genske, Maximilian +5 more
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Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce such states, a
A Cecco De +93 more
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Topological insulators and superconductors [PDF]
Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are ...
Anderson, P. W. +15 more
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Boundary Hamiltonian theory for gapped topological phases on an open surface
In this paper we propose a Hamiltonian approach to gapped topological phases on open surfaces. Our setting is an extension of the Levin-Wen model to a 2d graph on an open surface, whose boundary is part of the graph.
Yuting Hu +4 more
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Amorphous topological superconductivity in a Shiba glass
Topological states of matter support quantized nondissipative responses and exotic quantum particles that cannot be accessed in common materials. The exceptional properties and application potential of topological materials have triggered a large-scale ...
Ojanen, Teemu +3 more
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From gauge to higher gauge models of topological phases
We consider exactly solvable models in (3+1)d whose ground states are described by topological lattice gauge theories. Using simplicial arguments, we emphasize how the consistency condition of the unitary map performing a local change of triangulation is
Clement Delcamp, Apoorv Tiwari
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Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory
Fracton phases of matter are gapped phases of matter that, by dint of their sensitivity to UV data, demand non-standard quantum field theories to describe them in the IR. Two such approaches are foliated quantum theory and exotic field theory.
Ryan C. Spieler
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