Particle–hole symmetries in condensed matter

DOI10.1063/5.0035358zbMath1462.82066arXiv2004.07107OpenAlexW3131656655MaRDI QIDQ5855644

Martin R. Zirnbauer

Publication date: 19 March 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07107

zbMATH Keywords

condensed matterparticle-hole conjugation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Statistical mechanics in condensed matter (general) (82D03)

Related Items (8)

Non-local order parameters for fermion chains via the partial transpose ⋮ Winding number statistics of a parametric chiral unitary random matrix ensemble* ⋮ Rigorous index theory for one-dimensional interacting topological insulators ⋮ A Z2 invariant for chiral and particle–hole symmetric topological chains ⋮ Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case ⋮ Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras ⋮ Dyson's classification and real division superalgebras ⋮ Microwave studies of the spectral statistics in chaotic systems

Cites Work

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• Twisted equivariant matter
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• A duality web in \(2+1\) dimensions and condensed matter physics
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• The half-filled Landau level: The case for Dirac composite fermions
• Hamiltonian theories of the fractional quantum Hall effect
• Symmetry Classes
• INFRARED-ABSORPTION SPECTRUM OF ELECTRON BUBBLES IN LIQUID HELIUM
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
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