Valence-bond crystalline order in the s=1/2 J1-J2 model on the honeycomb lattice

被引：31

作者：

Bishop, R. F. ^{[1
]}

Li, P. H. Y. ^{[1
]}

Campbell, C. E. ^{[2
]}

机构：

[1] Univ Manchester, Sch Phys & Astron, Manchester M13 9PL, Lancs, England

[2] Univ Minnesota, Sch Phys & Astron, Minneapolis, MN 55455 USA

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 2013年 / 25卷 / 30期

关键词：

QUANTUM; PHASE;

D O I：

10.1088/0953-8984/25/30/306002

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbour exchange coupling J(1) > 0 and frustrating next-nearest-neighbour coupling J(2) xJ(1) > 0. In the range 0 < x < 1 we find four phases exhibiting respectively Neel, 6-spin plaquette, staggered dimer and Neel-II orderings, with quantum critical points at x(c1) approximate to 0.207(3), x(c2) approximate to 0.385(10) and x(c3) approximate to 0.65(5). The transitions at x(c1) and x(c3) appear to be continuous (and hence deconfined) ones, while that at x(c2) appears to be a direct first-order one.

引用

页数：7

共 32 条

[1] Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation [J].

Albuquerque, A. F. ;

Schwandt, D. ;

Hetenyi, B. ;

Capponi, S. ;

Mambrini, M. ;

Laeuchli, A. M. .

PHYSICAL REVIEW B, 2011, 84 (02)

[2]

Assaad F F, 2013, ARXIV13046340V1

[3] Exact results for spin dynamics and fractionalization in the Kitaev model [J].

Baskaran, G. ;

Mandal, Saptarshi ;

Shankar, R. .

PHYSICAL REVIEW LETTERS, 2007, 98 (24)

[4] Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice [J].

Bishop, R. F. ;

Li, P. H. Y. ;

Farnell, D. J. J. ;

Campbell, C. E. .

PHYSICAL REVIEW B, 2010, 82 (02)

[5] Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantum J1XXZ-J2XXZ model on the square lattice [J].

Bishop, R. F. ;

Li, P. H. Y. ;

Darradi, R. ;

Schulenburg, J. ;

Richter, J. .

PHYSICAL REVIEW B, 2008, 78 (05)

[6]

Bishop R. F., 1998, SPRINGER LECT NOTES, V510, P1

[7] High-order coupled cluster method calculations for the ground- and excited-state properties of the spin-half XXZ model [J].

Bishop, RF ;

Farnell, DJJ ;

Krüger, SE ;

Parkinson, JB ;

Richter, J ;

Zeng, C .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2000, 12 (30) :6887-6902

[8] AN OVERVIEW OF COUPLED CLUSTER THEORY AND ITS APPLICATIONS IN PHYSICS [J].

BISHOP, RF .

THEORETICA CHIMICA ACTA, 1991, 80 (2-3) :95-148

[9] Site dilution of quantum spins in the honeycomb lattice [J].

Castro, EV ;

Peres, NMR ;

Beach, KSD ;

Sandvik, AW .

PHYSICAL REVIEW B, 2006, 73 (05)

[10] Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A2IrO3 [J].

Chaloupka, Jiri ;

Jackeli, George ;

Khaliullin, Giniyat .

PHYSICAL REVIEW LETTERS, 2010, 105 (02)

← 1 2 3 4 →