The quantum spin-1/2J1-J2 antiferromagnet on a stacked square lattice: A study of effective-field theory in a finite cluster

Journal of Physics Condensed Matter

Volumn 22, Issue 14, 2010, Pages

  Nunes, Wagner A ^a   Ricardo De Sousa, J ^a,b   Roberto Viana, J ^a   Richter, J ^c  

^a FEDERAL UNIVERSITY OF AMAZONAS   (Brazil)

^b National Institute of Science and Technology for Complex Systems   (Brazil)

^c OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETICS; ANTIFERROMAGNETS; CRITICAL END POINTS; CRITICAL VALUE; DIFFERENTIAL OPERATORS; DISORDERED STATE; EFFECTIVE FIELD THEORY; FINITE CLUSTERS; FIRST ORDER TRANSITIONS; GROUND STATE PHASE DIAGRAM; HEISENBERG ANTIFERROMAGNETS; INTERLAYER COUPLING; NEAREST-NEIGHBORS; ORDERED PHASIS; ORDERED STATE; QUANTUM SPIN; SECOND ORDER TRANSITION; SQUARE LATTICES; SUBLATTICE MAGNETIZATION;

ANTIFERROMAGNETISM; CRYSTAL LATTICES; DIFFERENTIAL EQUATIONS; GROUND STATE; MATHEMATICAL OPERATORS; PHASE DIAGRAMS; QUANTUM THEORY; ROOM AND PILLAR MINING; SPIN DYNAMICS;

ANTIFERROMAGNETIC MATERIALS;

EID: 77950102605     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/22/14/146004     Document Type: Article

References (44)

1. Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press)
2. Manousakis E 1991 Rev. Mod. Phys. 63 1
3. Chandra P and Doucot B 1988 Phys. Rev. B 38 9335
4. Ioffe L B and Larkin A I 1988 Mod. Phys. B 2 203
5. Richter J 1993 Phys. Rev. B 47 5794
6. Ivanov N B and Richter J 1994 J. Phys.: Condens. Matter 6 3785
7. Richter J, Ivanov N B and Retzlaff K 1994 Europhys. Lett. 25 545
8. Singh R R P, Weihong Z, Hamer C J and Oitmaa J 1999 Phys. Rev. B 60 7278
9. Capriotti L, Fubini A, Roscilde T and Tognetti V 2004 Phys. Rev. Lett. 92 157202
10. Weber C, Becca F and Mila F 2005 Phys. Rev. B 72 24449
11. Spanu L and Parola A 2006 Phys. Rev. B 73 944427
12. Lante V and Parola A 2006 Phys. Rev. B 73 94427
13. Darradi R, Richter J and Farnell D J J 2005 Phys. Rev. B 72 104425
14. Darradi R, Derzhko O, Zinke R, Schulenburg J, Krüger S E and Richter J 2008 Phys. Rev. B 78 214415
15. Bishop R F, Li P H Y, Darradi R, Schulenburg J and Richter J 2008 Phys. Rev. B 78 054412
16. See also, Darradi R, Richter J, Schulenburg J, Bishop R F and Li P H Y 2009 J. Phys.: Conf. Ser. 145 012049
17. Bishop R F, Li P H Y, Darradi R, Schulenburg J, Richter J and Campbell C E 2008 J. Phys.: Condens. Matter 20 415213
18. Isaev L, Ortiz G and Dukelsky J 2009 Phys. Rev. B 79 024409
19. Viana J R and de Sousa J R 2007 Phys. Rev. B 75 052403
20. Carretta P, Melzi R, Papinutto N and Millet P 2002 Phys. Rev. Lett. 88 04701
21. Melzi R, Carretta P, Lascialfari A, Mambrini M, Troyer M, Millet P and Mila F 2000 Phys. Rev. Lett. 85 1318
22. Melzi R, Carretta P, Lascialfari A, Mambrini M, Troyer M, Millet P and Mila F 2001 Phys. Rev. B 64 024409
23. Rosner H, Singh R R P, Zheng W H, Oitmaa J, Drechsler S-L and Pickett W E 2002 Phys. Rev. Lett. 88 186405
24. Rosner H, Singh R R P, Zheng W H, Oitmaa J, Drechsler S-L and Pickett W E 2003 Phys. Rev. B 67 014416
25. Capriotti L, et al. 2001 Phys. Rev. Lett. 87 097201
26. Capriotti L and Sorella S 2000 Phys. Rev. Lett. 84 3173
27. Takano K, Kito Y, Ono Y and Sano K 2003 Phys. Rev. Lett. 91 197202
28. du Croo de Jongh M S L L, et al. 2000 Phys. Rev. B 62 14844
29. dos Anjos R A, Viana J R, de Sousa J R and Plascak J A 2007 Phys. Rev. E 76 022103
30. See also, Kalz A, Honecker A, Fuchs S and Pruschke T 2008 J. Phys.: Conf. Ser. 145 012051
31. Okamoto K and Nomura K 1992 Phys. Lett. A 169 433
32. Nomura K and Okamoto K 1994 J. Phys. A: Math. Gen. 27 5773
33. Canals B and Lacroix C 1998 Phys. Rev. Lett. 80 2933
34. Schmidt R, Schulenburg J, Richter J and Betts D D 2002 Phys. Rev. B 66 224406
35. Oitmaa J and Weihong Z 2004 Phys. Rev. B 69 064416
36. Majumdar K and Datta T 2009 J. Phys.: Condens. Matter 21 406004
37. Viana J R, de Sousa J R and Continentino M A 2008 Phys. Rev. B 77 172412
38. Pavarini E, Tarantino S C, Ballaran T B, Zema M, Ghigna P and Carretta P 2008 Phys. Rev. B 77 014425
39. Schmalfu S, Darradi R, Richter J, Schulenburg J and Ihle D 2006 Phys. Rev. Lett. 97 1572011
40. Filho E B and de Sousa J R 2004 Phys. Lett. A 323 9
41. Neto J C and de Sousa J R 2005 Phys. Lett. A 336 274
42. Neto M A and de Sousa J R 2004 Phys. Rev. B 70 224436
43. dos Anjos R A, Viana J R, de Sousa J R and Plascak J A 2007 Phys. Rev. E 76 022103
44. Salmon O R, de Sousa J R and Nobre F D 2009 Phys. Lett. A 373 2525