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Phase diagram of the one-dimensional S= 1 2 XXZ model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions
Jafari, R ; Sharif University of Technology | 2007
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- Type of Document: Article
- DOI: 10.1103/PhysRevB.76.014412
- Publisher: 2007
- Abstract:
- We have studied the phase diagram of the one-dimensional S= 1 2 XXZ model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions. We have applied the quantum renormalization group (QRG) approach to obtain stable fixed points and the scaling of coupling constants. The QRG prescription has to be implemented to the second order of interblock interactions to obtain a self-similar Hamiltonian after each step of the QRG. This model shows a rich phase diagram which includes quantum spin-fluid and dimer phases in addition to the classical Néel and ferromagnetic ones. We have found the border between different phases by tracing the scaling of coupling constants. © 2007 The American Physical Society
- Keywords:
- Linarite ; Spin chains ; Matrix groups
- Source: Physical Review B - Condensed Matter and Materials Physics ; Volume 76, Issue 1 , 2007 ; 10980121 (ISSN)
- URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.76.014412