Featureless Mott insulators

被引：4

作者：

Chern, Chyh-Hong ^{[1
,2
]}

机构：

[1] Natl Taiwan Univ, Ctr Theoret Sci, Dept Phys, Taipei 10617, Taiwan

[2] Natl Taiwan Univ, Ctr Quantum Sci & Engn, Taipei 10617, Taiwan

来源：

PHYSICAL REVIEW B | 2010年 / 81卷 / 11期

关键词：

INCOMPRESSIBLE QUANTUM FLUID; CLEBSCH-GORDAN-COEFFICIENTS; EXCITATIONS; SU(2); SU(3);

D O I：

10.1103/PhysRevB.81.115123

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A family of the pair hopping models exhibiting the incompressible quantum liquid at fractional filling 1/m(D) is constructed in D dimensional lattice. Except in one dimension, the lattice is the generalized edge-shared triangular lattice, for example the triangular lattice in two dimensions and tetrahedral lattice in three dimensions. They obey the symmetry, conservation of the center-of-mass position proposed by Seidel [Phys. Rev. Lett. 95, 266405 (2005)]. The finiteness of the excitation energy is calculated by the single mode approximation.

引用

页数：12

共 14 条

[1] New family of models for incompressible quantum liquids in d ≥ 2 [J].

Chern, Chyh-Hong ;

Lee, Dung-Hai .

PHYSICAL REVIEW LETTERS, 2007, 98 (06)

[2]

de Swart J.J., 1963, REV MOD PHYS, V35, P916, DOI 10.1103/RevModPhys.35.916

[3] COLLECTIVE-EXCITATION GAP IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].

GIRVIN, SM ;

MACDONALD, AH ;

PLATZMAN, PM .

PHYSICAL REVIEW LETTERS, 1985, 54 (06) :581-583

[4] MAGNETO-ROTON THEORY OF COLLECTIVE EXCITATIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].

GIRVIN, SM ;

MACDONALD, AH ;

PLATZMAN, PM .

PHYSICAL REVIEW B, 1986, 33 (04) :2481-2494

[5] FRACTIONAL QUANTIZATION OF THE HALL-EFFECT - A HIERARCHY OF INCOMPRESSIBLE QUANTUM FLUID STATES [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1983, 51 (07) :605-608

[6] ANOMALOUS QUANTUM HALL-EFFECT - AN INCOMPRESSIBLE QUANTUM FLUID WITH FRACTIONALLY CHARGED EXCITATIONS [J].

LAUGHLIN, RB .

PHYSICAL REVIEW LETTERS, 1983, 50 (18) :1395-1398

[7] Mott insulators without symmetry breaking [J].

Lee, DH ;

Leinaas, JM .

PHYSICAL REVIEW LETTERS, 2004, 92 (09) :096401-1

[8] An algebraic algorithm for calculating Clebsch-Gordan coefficients; application to SU(2) and SU(3) [J].

Rowe, DJ ;

Repka, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (08) :4363-4388

[9] Clebsch-Gordan coefficients of SU(3) in SU(2) and SO(3) bases [J].

Rowe, DJ ;

Bahri, C .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (09) :6544-6565

[10] Incompressible quantum liquids and new conservation laws [J].

Seidel, A ;

Fu, H ;

Lee, DH ;

Leinaas, JM ;

Moore, J .

PHYSICAL REVIEW LETTERS, 2005, 95 (26)

← 1 2 →