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Topology off the be...
Topology off the beaten path : From critical to non-Hermitian systems
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- Ortega-Taberner, Carlos, 1993- (författare)
- Stockholms universitet,Fysikum
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- Hermanns, Maria, Dr. (preses)
- Stockholms universitet,Fysikum,Nordiska institutet för teoretisk fysik (Nordita)
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- Slingerland, Joost, Associate Professor (opponent)
- Department of Theoretical Physics, Maynooth University, Maynooth, Ireland
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(creator_code:org_t)
- ISBN 9789180141284
- Stockholm : Department of Physics, Stockholm University, 2023
- Engelska 87 s.
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Abstract
Ämnesord
Stäng
- A central topic in condensed matter research during the last decades has been the study and classification of topological phases of matter. Topological insulators in particular, a subset of symmetry protected topological phases, have been investigated for over a decade. In recent years, several extensions to this formalism have been proposed to study more unconventional systems.In this thesis we explore two of these extensions, where key assumptions in the original formalism are removed. The first case is critical systems, which have no energy gap. Conventional topological invariants are discontinuous at topological transitions, and therefore not well-defined for critical systems. We propose a method for generalizing conventional topological invariants to critical systems and show robustness to disorder that preserves criticality. The second case involves non-Hermitian systems, which appear in effective descriptions of dissipation, where we study the entanglement spectrum and its connection to topological invariants. Furthermore, by introducing non-Hermiticity to critical systems we show how the winding numbers that characterize some topological phases of the non-Hermitian system, as well as topological signatures in the entanglement spectrum, can be obtained from the related critical model.
Ämnesord
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Nyckelord
- Topological phases
- Critical systems
- Non-Hermitian systems
- Theoretical Physics
- teoretisk fysik
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