Quantum phase transition in the one-dimensional compass model

被引:87
作者
Brzezicki, Wojciech
Dziarmaga, Jacek
Oles, Andrzej M.
机构
[1] Jagiellonian Univ, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland
[2] Jagiellonian Univ, Ctr Complex Syst, PL-30059 Krakow, Poland
[3] Max Planck Inst Festkorperforsch, D-70569 Stuttgart, Germany
关键词
D O I
10.1103/PhysRevB.75.134415
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We introduce a one-dimensional model which interpolates between the Ising model and the quantum compass model with frustrated pseudospin interactions sigma(z)(i)sigma(z)(i+1) and sigma(x)(i)sigma(x)(i+1), alternating between even and/or odd bonds, and present its exact solution by mapping to quantum Ising models. We show that the nearest-neighbor pseudospin correlations change discontinuously and indicate divergent correlation length at the first-order quantum phase transition. At this transition, one finds the disordered ground state of the compass model with high degeneracy 2x2(N/2) in the limit of N ->infinity.
引用
收藏
页数:6
相关论文
共 17 条
[1]   Temperature dependence of optical spectral weights in quarter-filled ladder systems [J].
Aichhorn, M ;
Horsch, P ;
von der Linden, W ;
Cuoco, M .
PHYSICAL REVIEW B, 2002, 65 (20) :1-4
[2]   STATISTICAL MECHANICS OF XY-MODEL .2. SPIN-CORRELATION FUNCTIONS [J].
BAROUCH, E ;
MCCOY, BM .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 3 (02) :786-+
[3]   Quantum compass model on the square lattice [J].
Dorier, J ;
Becca, F ;
Mila, F .
PHYSICAL REVIEW B, 2005, 72 (02)
[4]   Protected qubits and Chern-Simons theories in Josephson junction arrays -: art. no. 024505 [J].
Douçot, B ;
Feigel'man, MV ;
Ioffe, LB ;
Ioselevich, AS .
PHYSICAL REVIEW B, 2005, 71 (02)
[5]   Dynamics of a quantum phase transition: Exact solution of the quantum ising model [J].
Dziarmaga, J .
PHYSICAL REVIEW LETTERS, 2005, 95 (24)
[6]   Quantum melting of magnetic order due to orbital fluctuations [J].
Feiner, LF ;
Oles, AM ;
Zaanen, J .
PHYSICAL REVIEW LETTERS, 1997, 78 (14) :2799-2802
[7]   STATISTICAL MECHANICS OF ANISOTROPIC LINEAR HEISENBERG MODEL [J].
KATSURA, S .
PHYSICAL REVIEW, 1962, 127 (05) :1508-&
[8]   Orbital liquid in three-dimensional Mott insulator:: LaTiO3 [J].
Khaliullin, G ;
Maekawa, S .
PHYSICAL REVIEW LETTERS, 2000, 85 (18) :3950-3953
[9]   Orbital ordering and frustrations [J].
Khomskii, DI ;
Mostovoy, MV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (35) :9197-9207
[10]   The Jahn-Teller effect and magnetism: transition metal compounds [J].
KUGEL, KI ;
KHOMSKII, DI .
USPEKHI FIZICHESKIKH NAUK, 1982, 136 (04) :621-664