We are organizing a seminar on the exact solutions of the two-dimensional Ising model on Friday every 2 weeks. Talks are typically 2 hours long. Talks will be announced on this page.

Papers

• Baxter, Rodney J., and Ian G. Enting. “399th solution of the Ising model.” Journal of Physics A: Mathematical and General 11, no. 12 (1978): 2463. [pdf]
• Vergeles, S. N. “Another solution of 2D Ising model.” Journal of Experimental and Theoretical Physics 108, no. 4 (2009): 718-724. [pdf] (Anıl Ata, Yunus Emre Yıldırım)
• Combinatorial methods
  • Kac, M., & Ward, J. C. (1952). A combinatorial solution of the two-dimensional Ising model. Physical Review, 88(6), 1332. (Ahmet Baysan, Eren Demirci)
• Gaussian Grasmannian action (Ali Mert Yetkin, Reyhan Yumuşak)
  • Samuel, S. (1980). The use of anticommuting variable integrals in statistical mechanics. I. The computation of partition functions. Journal of Mathematical Physics, 21(12), 2806-2814.
  • Nojima, K. “The Grassmann representation of Ising model.” International Journal of Modern Physics B 12, no. 20 (1998): 1995-2003.
  • Plechko, V. N. (1986). Simple solution of two-dimensional Ising model on a torus in terms of Grassmann integrals. Theor. Math. Phys., 64(1). [pdf]
• Pfaffian methods (Ahmet Berk Kavruk, Umut Nuri Erdogan)
  • Kasteleyn, P. W. (1963). Dimer statistics and phase transitions. Journal of Mathematical Physics, 4(2), 287-293.
  • McCoy, Barry M., and Tai Tsun Wu. The two-dimensional Ising model. Courier Corporation, 2014.