Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain

Abstract

Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap in a dimerized spin-1/2 chain. This expression is shown to be in good agreement with recent numerical estimates when a marginally irrelevant perturbation is taken into account.

5 pages, 2 EPS figures, uses svjour.cls

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• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
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• Quantum Criticality in Dimerized Spin Ladders
• DMRG study of scaling exponents in spin-1/2 Heisenberg chains with dimerization and frustration
• Vacancy-induced spin texture in a one dimensional $S=1/2$ Heisenberg antiferromagnet
• Correlation Effects on Charge Order and Zero-Gap State in the Organic Conductor α-(BEDT-TTF)2I3
• Particle Content of the Nonlinear Sigma Model with Theta-Term: a Lattice Model Investigation
• Wither the sliding Luttinger liquid phase in the planar pyrochlore
• Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
• Quantum criticality in an asymmetric three-leg spin tube: A strong rung-coupling perspective
• Scaling of excitations in dimerized and frustrated spin-1/2 chains
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Mass ratio of elementary excitations in frustrated antiferromagnetic chains with dimerization
• Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
• Stability of algebraic spin liquids coupled to quantum phonons
• One dimensional Bose-Hubbard model with long range hopping
• Emergent SU(3) symmetry in a four leg spin tube
• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems