Destruction of long-range order in noncollinear two-dimensional antiferromagnets by random-bond disorder

作者: Santanu Dey , Eric C. Andrade , Matthias Vojta

DOI: 10.1103/PHYSREVB.101.020411

关键词: Order (ring theory)RandomnessPhysicsHeisenberg modelDipoleGround stateSpin-½Texture (cosmology)Condensed matter physicsSingle bond

摘要: We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by noncollinear long-range order with nonzero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange couplings. A single defect known to induce a dipolar texture in spin background independent microscopic details. Using general analytical arguments as well large-scale simulations for classical triangular-lattice model, we show that any finite concentration such defects destroys spatial dimension $d\ensuremath{\le}2$, favor glassy correlation length $d=2$ exponentially large small randomness. Our results are relevant wide range layered magnets.

参考文章(52)
Sudip Chakravarty, Bertrand I. Halperin, David R. Nelson, Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. Physical Review B. ,vol. 39, pp. 2344- 2371 ,(1989) , 10.1103/PHYSREVB.39.2344
V. S. Maryasin, M. E. Zhitomirsky, Order from structural disorder in the X Y pyrochlore antiferromagnet Er 2 Ti 2 O 7 Physical Review B. ,vol. 90, pp. 094412- ,(2014) , 10.1103/PHYSREVB.90.094412
O. I. Utesov, A. V. Sizanov, A. V. Syromyatnikov, Spiral magnets with Dzyaloshinskii-Moriya interaction containing defect bonds Physical Review B. ,vol. 92, pp. 125110- ,(2015) , 10.1103/PHYSREVB.92.125110
S Toth, B Lake, SAJ Kimber, O Pieper, M Reehuis, ATMN Islam, O Zaharko, C Ritter, AH Hill, H Ryll, K Kiefer, DN Argyriou, AJ Williams, None, 120 ∘ helical magnetic order in the distorted triangular antiferromagnet α -CaCr 2 O 4 Physical Review B. ,vol. 84, pp. 054452- ,(2011) , 10.1103/PHYSREVB.84.054452
J. L. Alonso, A. Tarancón, H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Monte Carlo study of O(3) antiferromagnetic models in three dimensions Physical Review B. ,vol. 53, pp. 2537- 2545 ,(1996) , 10.1103/PHYSREVB.53.2537
Christopher L. Henley, Ordering due to disorder in a frustrated vector antiferromagnet. Physical Review Letters. ,vol. 62, pp. 2056- 2059 ,(1989) , 10.1103/PHYSREVLETT.62.2056
D. Hsieh, D. Qian, R.F. Berger, R.J. Cava, J.W. Lynn, Q. Huang, M.Z. Hasan, Unconventional spin order in the triangular lattice system NaCrO2: A neutron scattering study Physica B-condensed Matter. ,vol. 403, pp. 1341- 1343 ,(2008) , 10.1016/J.PHYSB.2007.10.295
Alexander Markovich Polyakov, Gauge fields and strings ,(1987)