The A-Cycle Problem In XY model with Ring Frustration

Abstract

Traditionally, the transverse spin-1/2 XY model is mapped to a fermionic "c-cycle" problem, where the prior periodic boundary condition is applied to the fermionic chain and the additional boundary term has been neglected. However, the "a-cycle" problem (the original problem without any approximation) has not been treated seriously up to now. In this paper, we consider the XY model with ring frustration and diagonalize it without any approximation with the help of parity constraint. Then two peculiar gapless phases have been found.

6 pages, 1 figures, to appear in Modern Physics Letters B

References in corpus (2)

• Haldane-like antiferromagnetic spin chain in the large anisotropy limit
• Antiferromagnetic molecular nanomagnets with odd-numbered coupled spins

Cited by in corpus (12)

• Quantum Phase Transition induced by Topological Frustration
• The Frustration of being Odd: How Boundary Conditions can destroy Local Order
• Time-dependent Correlation Functions in Open Quadratic Fermionic Systems
• Effects of defects in the XY chain with frustrated boundary conditions
• Rigorous proof for the non-local correlation functions in the antiferromagnetic seamed transverse Ising ring
• Odd thermodynamic limit for the Loschmidt echo
• Ring frustration and factorizable correlation functions of critical spin rings
• Towards a phase diagram of the topologically frustrated XY chain
• Ring-Frustrated Non-Hermitian $XY$ Model
• The fate of local order in topologically frustrated spin chains
• Few-body precursors of topological frustration
• Finite time path field theory perturbative methods for local quantum spin chain quenches