Results 41 to 50 of about 166,486,521 (293)
TOPOLOGICAL STATES OF MATTER AND NONCOMMUTATIVE GEOMETRY [PDF]
Bulletin of the Australian Mathematical Society, 2016 This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall effect and topological insulators. For the quantum Hall effect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index ...
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Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases
Journal of High Energy Physics, 2021 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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Emergent geometry, torsion and anomalies in non-relativistic topological matter
, 2023 Funding Information: Acknowledgements: This work has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No.
Nissinen, Jaakko
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Boundary Hamiltonian theory for gapped topological phases on an open surface
Journal of High Energy Physics, 2018 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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From gauge to higher gauge models of topological phases
Journal of High Energy Physics, 2018 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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Excitations in strict 2-group higher gauge models of topological phases
Journal of High Energy Physics, 2020 We consider an exactly solvable model for topological phases in (3+1) d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a lattice Hamiltonian realisation of the Yetter homotopy 2-type topological
Alex Bullivant, Clement Delcamp
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Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory
Journal of High Energy Physics, 2023 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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FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
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Surface and edge states in topological semimetals [PDF]
, 2011 We study the topologically nontrivial semimetals by means of the six-band Kane model. Existence of surface states is explicitly demonstrated by calculating the local density of states (LDOS) on the material surface.
Chu, RL +7 more
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One dimensional gapped quantum phases and enriched fusion categories
Journal of High Energy Physics, 2022 In this work, we use Ising chain and Kitaev chain to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified categorical description of all gapped/gapless quantum liquid phases, including ...
Liang Kong, Xiao-Gang Wen, Hao Zheng
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