The one-dimensional Ising model with a transverse field

✍ Scribed by Pierre Pfeuty

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 448 KB
• Volume: 57
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(70)90270-8

✦ Synopsis

The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is calculated and this model shows a finite long-range order in the ground state when the transverse field is less than a critical value.