From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization

Autor:	Zhang, Fanmao, Schossler, Matheus, Seidel, Alexander, Chen, Li
Rok vydání:	2023
Předmět:	Condensed Matter - Strongly Correlated Electrons Quantum Physics
Zdroj:	Phys. Rev. B 108, 075142 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.108.075142
Popis:	We construct a recursive second-quantized formula for Moore-Read Pfaffian states. We demonstrate the utility of such second-quantized presentations by directly proving the existence of frustration-free parent Hamiltonians, without appealing to polynomial clustering properties. Furthermore, we show how this formalism is connected to the existence of a non-local order parameter for Moore-Read states and give a proof that the latter exhibit off-diagonal long-range order (ODLRO) in these quantities. We also develop a similar second-quantized presentation for the fermionic antiand PH-Pfaffian states, as well as f- and higher wave paired composite fermion states, and discuss ODLRO in most cases. Comment: Two references have been updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.09286 Zobrazit plný text záznamu View this record from Arxiv