Designer spin systems via inverse statistical mechanics. II. Ground-state enumeration and classification

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 18, 2013, Pages

  Marcotte, Étienne ^a   Distasio, Robert A ^a   Stillinger, Frank H ^a   Torquato, Salvatore ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84890395954     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.184432     Document Type: Article

References (42)

1. R. A. DiStasio, Jr., É. Marcotte, R. Car, F. H. Stillinger, and S. Torquato, Phys. Rev. B 10.1103/PhysRevB.88.134104 88, 134104 (2013).
2. M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.228301 95, 228301 (2005);
3. M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. 10.1103/PhysRevLett.97.239901 97, 239901 (E) (2006).
4. M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.011406 73, 011406 (2006).
5. M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.031403 75, 031403 (2007).
6. S. Torquato, Soft Matter 1744-683X 10.1039/b814211b 5, 1157 (2009).
7. H. Cohn and A. Kumar, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0901636106 106, 9570 (2009).
8. É. Marcotte, F. H. Stillinger, and S. Torquato, Soft Matter 1744-683X 10.1039/c0sm01205j 7, 2332 (2011).
9. E. Ising, Z. Phys. 10.1007/BF02980577 31, 253 (1925).
10. B. M. McCoy and T. T. Wu, The Two-Dimensional Ising Model (Harvard University Press, Cambridge, 1973).
11. L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.65.117 65, 117 (1944).
12. C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.85.808 85, 808 (1952).
13. K. Barros, P. L. Krapivsky, and S. Redner, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.040101 80, 040101 (2009).
14. A. J. F. Siegert and David J. Vezzetti, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664558 9, 2173 (1968).
15. R. J. Elliott, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.346 124, 346 (1961).
16. M. E. Fisher and W. Selke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1502 44, 1502 (1980).
17. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
18. A. Giuliani, J. L. Lebowitz, and E. H. Lieb, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.064420 74, 064420 (2006).
19. A. Giuliani, J. L. Lebowitz, and E. H. Lieb, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.184426 76, 184426 (2007).
20. A. Giuliani, J. L. Lebowitz, and E. H. Lieb, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.064205 84, 064205 (2011).
21. G. H. Wannier, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.79.357 79, 357 (1950).
22. K. Kano and S. Naya, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/ptp/10.2.158 10, 158 (1953).
23. J. Oitmaa, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/14/ 5/035 14, 1159 (1981).
24. J. Oitmaa, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/15/ 2/024 15, 573 (1982).
25. R. Rietman, B. Nienhuis, and J. Oitmaa, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/25/24/012 25, 6577 (1992).
26. C. C. Wu, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02175564 85, 251 (1996).
27. C.-K. Hu and N. S. Izmailian, Phys. Rev. E 1063-651X 10.1103/PhysRevE.58. 1644 58, 1644 (1998).
28. E. Edlund, O. Lindgren, and M. N. Jacobi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.085503 107, 085503 (2011).
29. M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.021404 74, 021404 (2006).
30. É. Marcotte, F. H. Stillinger, and S. Torquato, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.4790634 138, 061101 (2013).
31. A. Jain, J. R. Errington, and T. M. Truskett, Soft Matter 1744-683X 10.1039/c3sm27785b 9, 3866 (2013).
32. G. Zhang, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.88.042309 88, 042309 (2013).
33. J. Snyder, J. S. Slusky, R. J. Cava, and P. Schiffer, Nature (London) NATUAS 0028-0836 10.1038/35092516 413, 48 (2001).
34. S. V. Isakov, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.217201 95, 217201 (2005).
35. C. L. Henley, Annu. Rev. Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-070909-104138 1, 179 (2010).
36. C. L. Y. Yeong and S. Torquato, Phys. Rev. E 1063-651X 10.1103/PhysRevE.57.495 57, 495 (1998).
37. M. S. Talukdar, O. Torsaeter, and M. A. Ioannidis, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.2001.8064 248, 419 (2002).
38. M. E. Kainourgiakis, E. S. Kikkinides, A. Galani, G. C. Charalambopoulou, and A. K. Stubos, Transport Porous Med. TPMEEI 0169-3913 10.1007/s11242-004- 5469-1 58, 43 (2005).
39. Y. Jiao, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011106 82, 011106 (2010).
40. C. J. Gommes, Y. Jiao, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.051140 85, 051140 (2012).
41. H. Au-Yang and B. M. McCoy, Phys. Rev. B 0556-2805 10.1103/PhysRevB.10. 886 10, 886 (1974).
42. S. Martis, É. Marcotte, F. H. Stillinger, and S. Torquato, J. Stat. Phys. 10.1007/s10955-012-0619-2 150, 414 (2013).