# Field theoretical study of a spin-1/2 ladder with unequal chain exchanges

@article{Sarkar2002FieldTS, title={Field theoretical study of a spin-1/2 ladder with unequal chain exchanges}, author={Sujit Sarkar and Diptiman Sen Mpipks and Dresden. and IISc. and Bangalore}, journal={Physical Review B}, year={2002}, volume={65}, pages={172408} }

We study the low-energy properties of a Heisenberg spin-1/2 zigzag ladder with different exchange constants on the two chains. Using a nonlinear sigma-model field theory and Abelian bosonization, we find that the excitations are gapless, with a finite spin-wave velocity, if the values of the chain exchanges are small. If the chain exchanges are large, the system is gapped, and the energy spectra of the kink and antikink excitations are different from each other.

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## References

SHOWING 1-10 OF 21 REFERENCES

Bosonization and Strongly Correlated Systems

- Physics
- 1999

This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the…

"J."

- 1890

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Phys

- Rev. Lett, 87, 087205
- 2001

cond-mat/0106621

- To appear in Wiley VCH Series on Molecular Magnetism
- 2001

and A

- M. Tsvelik, Bosonization and Strongly Correlated Systems
- 1998

Phys

- Rev. Lett. 79, 925
- 1997

Phys

- Rev. B 54, 9862
- 1996

Phys

- Rev. B 53, 6401
- 1996