SU(2) slave fermion solution of the Kitaev honeycomb lattice model

被引：64

作者：

Burnell, F. J. ^{[1
,2
]}

Nayak, Chetan ^{[3
,4
]}

机构：

[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

[2] Univ Oxford All Souls Coll, Oxford OX1 4AL, England

[3] Univ Calif Santa Barbara, Stn Q, Santa Barbara, CA 93106 USA

[4] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW B | 2011年 / 84卷 / 12期

关键词：

LARGE-N LIMIT; RESONATING-VALENCE-BOND; HIGH-TC SUPERCONDUCTORS; CHIRAL-SPIN-LIQUID; HUBBARD-MODEL; STATES; ANYONS;

D O I：

10.1103/PhysRevB.84.125125

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We apply the SU(2) slave fermion formalism to the Kitaev honeycomb lattice model. We show that both the toric code phase (the A phase) and the gapless phase of this model (the B phase) can be identified with p-wave superconducting phases of the slave fermions, with nodal lines which, respectively, do not or do intersect the Fermi surface. The non-Abelian Ising anyon phase is a p + ip superconducting phase that occurs when the B phase is subjected to a gap-opening magnetic field. We also discuss the transitions between these phases in this language.

引用

页数：20

共 29 条

[1] LARGE-N LIMIT OF THE HEISENBERG-HUBBARD MODEL - IMPLICATIONS FOR HIGH-TC SUPERCONDUCTORS [J].

AFFLECK, I ;

MARSTON, JB .

PHYSICAL REVIEW B, 1988, 37 (07) :3774-3777

[2] SU(2) GAUGE-SYMMETRY OF THE LARGE-U LIMIT OF THE HUBBARD-MODEL [J].

AFFLECK, I ;

ZOU, Z ;

HSU, T ;

ANDERSON, PW .

PHYSICAL REVIEW B, 1988, 38 (01) :745-747

[3] THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].

ANDERSON, PW .

SCIENCE, 1987, 235 (4793) :1196-1198

[4] RESONATING VALENCE BONDS - NEW KIND OF INSULATOR [J].

ANDERSON, PW .

MATERIALS RESEARCH BULLETIN, 1973, 8 (02) :153-160

[5] COOPER INSTABILITY IN THE PRESENCE OF A SPIN LIQUID [J].

ANDREI, N ;

COLEMAN, P .

PHYSICAL REVIEW LETTERS, 1989, 62 (05) :595-598

[6] Lieb-robinson bounds and the generation of correlations and topological quantum order [J].

Bravyi, S. ;

Hastings, M. B. ;

Verstraete, F. .

PHYSICAL REVIEW LETTERS, 2006, 97 (05)

[7] 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)

[8] KONDO-STABILIZED SPIN LIQUIDS AND HEAVY FERMION SUPERCONDUCTIVITY [J].

COLEMAN, P ;

ANDREI, N .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1988, 76-7 :504-506

[9]

de Wild Propitius M., 1995, Ph.D. thesis

[10] Creation and manipulation of anyons in the Kitaev model [J].

Dusuel, Sebastien ;

Schmidt, Kai Phillip ;

Vidal, Julien .

PHYSICAL REVIEW LETTERS, 2008, 100 (17)

← 1 2 3 →