Numerical diagonalization studies of frustrated quantum antiferromagnets

M. Shahri Naseri, R. Kamran, S. Mahdavifar

We presented a numerical study of the magnetization process of frustrated spin-1/2 chain. Using the exact diagonalization technique, we provided the evidence that a plateau at one-third of the saturation magnetization exists in the magnetization curve of frustrated antiferromagnetic spin-1/2 chain.

Jason Alicea, Michael Hermele, Olexei I. Motrunich +1 more

Tota Nakamura, 中村 統太

Tôru Sakai

The magnetization process of the frustrated magnet is theoretically investigated using the numerical diagonalization and the finite-size scaling analysis. It is found that a new spin flop phenomena possibly occurs.

Nandini Trevedi, David M. Ceperley

Tôru Sakai

Frustrated quantum spin systems are investigated by the large-scale numerical exact diagonalization based on the Lanczos algorithm. Our recent results based on the calculation for finite-size clusters up to 45 spins are introduced about the following topics; (1) spin gap issue of the kagome-lattice antiferromagnet[1.2], (2) magnetization plateaux of the triangular- and kagome-lattice antiferromagnets[3,4]. (3) quatnum phase transitions of the Shastry-Sutherland model[5]. References [1]H. Nakano and T. Sakai, J. Phys. Soc. Jpn. 80 (2011)053704;arXiv:1103.5829 [2]T. Sakai and H. Nakano, Physica B 536 (2018)85; arXiv:1801.04458 [3]H. Nakano and T. Sakai, J. Phys. Soc. Jpn. 87 (2018)063706. [4]H. Nakano and T. Sakai, J. Phys. Soc. Jpn. 86 (2017)114705;arXiv:1708.07248. [5]H. Nakano and T. Sakai, J. Phys. Soc. Jpn. 87 (2018) 123702; arXiv: 1810.11533.