Density-matrix renormalization-group analysis of quantum critical points: Quantum spin chains

Article

关键词: ANTIFERROMAGNETIC HEISENBERG CHAIN;    HALDANE-GAP ANTIFERROMAGNETS;    LOW-TEMPERATURE PROPERTIES;    CRITICAL-BEHAVIOR;    ARBITRARY SPINS;    MAGNETIC-FIELD;    PHASE-DIAGRAM;    CORRELATION AMPLITUDE;    XY-MODEL;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.62.5546

来源: SCIE

【 摘 要 】

We present a simple method, combining the density-matrix renormalization-group algorithm with finite-size scaling. which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by boundary conditions at the chain ends and these exhibit power-law decay at critical points. Results are presented for the spin-1/2 Heisenberg antiferromagnet; an analytic calculation shows that logarithmic corrections to scaling can sometimes be avoided. We also examine the spin-1 chain at the critical paint. separating the Haldane gap and dimerized phases. Exponents for the dimer-dimer and the spin-spin correlation functions are consistent with results obtained from bosonization.

【 授权许可】

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