Scaling exponents in spin-1/2 Heisenberg chains with dimerization and frustration studied with the density-matrix renormalization group

被引:20
作者
Kumar, Manoranjan [1 ]
Ramasesha, S.
Sen, Diptiman
Soos, Z. G.
机构
[1] Indian Inst Sci, Solid State & Struct Chem Unit, Bangalore 560012, Karnataka, India
[2] Indian Inst Sci, Ctr High Energy Phys, Bangalore 560012, Karnataka, India
[3] Jawaharlal Nehru Ctr Adv Sci Res, Bangalore 560064, Karnataka, India
[4] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA
来源
PHYSICAL REVIEW B | 2007年 / 75卷 / 05期
关键词
D O I
10.1103/PhysRevB.75.052404
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In conformal field theory, key properties of spin-1/2 chains, such as the ground state energy per site and the excitation gap, scale with dimerization delta as delta(alpha) with known exponents alpha and logarithmic corrections. The logarithmic corrections vanish in a spin chain with nearest (J=1) and next-nearest-neighbor interactions (J(2)), for J(2c)=0.2411. Density-matrix renormalization group analysis of a frustrated spin chain with no logarithmic corrections yields the field theoretic values of alpha, and the scaling relation is valid up to the physically realized range, delta similar to 0.1. However, chains with logarithmic corrections (J(2)< 0.2411 J) are more accurately fit by simple power laws with different exponents for physically realized dimerizations. We show the exponents decreasing from approximately 3/4 to 2/3 for the spin gap and from approximately 3/2 to 4/3 for the energy per site, and error bars in the exponent also decrease as J(2) approaches to J(2c).
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