Ground states of Nicolai and ${\mathbb{Z}_2}$ Nicolai models

DOI10.1088/1751-8121/aaf181zbMath1422.81117arXiv1808.02754OpenAlexW3125219988MaRDI QIDQ5235177

Ruben la, Sergey Shadrin, Kareljan Schoutens

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1808.02754

zbMATH Keywords

homologyquantum mechanicssupersymmetrylattice model

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Topological quantum computation on supersymmetric spin chains ⋮ Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries ⋮ Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown

Cites Work

• Unnamed Item
• Supersymmetry, lattice fermions, independence complexes and cohomology theory
• Supersymmetric many-body systems from partial symmetries -- integrability, localization and scrambling
• Ergodicity breaking and localization of the Nicolai supersymmetric fermion lattice model
• A curious mapping between supersymmetric quantum chains
• Integrable supersymmetric chain without particle conservation
• Extensive ground state entropy in supersymmetric lattice models
• Lattice fermion models with supersymmetry

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