Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-20T19:27:16.337Z Has data issue: false hasContentIssue false

18 - Bosonization II: Selected Applications

Published online by Cambridge University Press:  24 October 2017

Ramamurti Shankar
Affiliation:
Yale University, Connecticut
Get access
Type
Chapter
Information
Quantum Field Theory and Condensed Matter
An Introduction
, pp. 334 - 369
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] J., Schwinger, Physical Review B, 12, 3908 (1975).CrossRef
[2] W., Thirring, Annals of Physics, 82, 664 (1951).
[3] C., Itzykson and J. B., Zuber, Physical Review D, 15, 2875 (1977).CrossRef
[4] E., Fradkin and L., Susskind, Physical Review D, 17, 2637 (1978).CrossRef
[5] T. D., Schultz, D.Mattis, and E. H., Lieb, Reviews of Modern Physics, 36, 856 (1964).CrossRef
[6] S., Dotsenko and V. S., Dotsenko, Advances in Physics, 32, 129 (1983).CrossRef
[7] D. J., Gross and A., Neveu, Physical Review D, 10, 3235 (1974).CrossRef
[8] W., Wetzel, Physics Letters B, 153, 297 (1985). This describes the β-function to two loops.CrossRef
[9] R., Shankar, Physical Review Letters, 58, 2466 (1987).CrossRef
[10] A. W. W., Ludwig, Physical Review Letters, 61, 2388 (1988).CrossRef
[11] R., Shankar, Physical Review Letters, 61, 2390 (1988). Gives a response to the comment in [10].CrossRef
[12] B. N., Shalayev, Soviet Physics (Solid State), 26, 1811 (1984).
[13] V. B., Andreichenko, V. S., Dotsenko, W., Selke, and J. J., Wang, Nuclear Physics B, 344, 531 (1990).CrossRef
[14] C., Itzykson and J. M., Drouffe, Statistical Field Theory, vol. 2, Cambridge University Press (1990).
[15] V. J., Emery, in Highly Conducting One-Dimensional Solids, eds. J. T., Devreese, R. P., Evrard, and V. E., van Doren, Plenum (1979).
[16] S., Sachdev, Quantum Phase Transitions, Cambridge University Press (1999).
[17] T., Giamarchi, Quantum Physics in One Dimension, Clarendon (2004).
[18] E. H., Lieb and F. Y., Wu, Physical Review Letters, 20, 1145 (1968).
[19] F. D. M., Haldane, Physical Review Letters, 45, 1358 (1980).CrossRef
[20] F. D. M., Haldane, Journal of Physics C: Solid State Physics, 14, 2585 (1981).
[21] S., Tomonaga, Progress in Theoreticl Physics, 5, 544 (1950).CrossRef
[22] J. M., Luttinger, Journal of Mathematical Physics, 4, 1154 (1963).CrossRef
[23] C. N., Yang and C. P., Yang, Physical Review, 150, 321 (1976).
[24] R. J., Baxter, Exactly Solvable Models in Statistical Mechanics, Academic Press (1982).
[25] M. P. M., den Nijs, Physical Review B, 23, 6111 (1981).CrossRef
[26] J. M., Kosterlitz and D. J., Thouless, Journal of Physics C: Solid State Physics, 6, 1181 (1973).
[27] F. D. M., Haldane, Journal of Physics C, 14, 2585 (1981).CrossRef
[28] R., Shankar, International Journal of Modern Physics B, 4, 2371 (1990).CrossRef
[29] T., Giamarchi and H. J., Schulz, Physical Review B, 37, 325 (1988).CrossRef
[30] S., Sachdev and R., Shankar, Physical Review, 38, 826 (1988).CrossRef
[31] R., Shankar, Physical Review Letters, 63, 203 (1989).CrossRef
[32] Y. K., Ha, Physical Review D, 29, 1744 (1984). Gives an early review of field-theory bosonization.CrossRef
[33] C. L., Kane and M. P. A., Fisher, Physical Review B, 46, 15233 (1992).CrossRef
[34] J., van Delft, Annalen der Physik, 4, 225 (1998).
[35] J., Voit, Reports on Progress in Physics, 58, 977 (1994).
[36] H. J., Schulz, in Mesoscopic Quantum Physics: Les Houches Summer School Proceedings, vol. 61, eds. E., Akkermans, G., Montambaux, J.-L., Pichard, and J., Zinn-Justin, North Holland (1995).
[37] E., Miranda, Brazilian Journal of Physics, 33, 3 (2003).
[38] R., Heidenreich, B., Schroer, R., Seiler, and D., Uhlenbrock, Physics Letters A, 54, 119 (1975).CrossRef
[39] M. P. A., Fisher and L. I., Glazman, in Mesoscopic Electron Transport, eds. L. L., Sohn, L. P., Kouwenhoven, and G., Schön, NATO ASI series, Kluwer (1997). Very physical, explains tunneling and fractionalization.
[40] E., Fradkin, Field Theories of Condensed Matter Physics, 2nd edition, Cambridge University Press (2013).
[41] G. F., Guiliani and G., Vignale, Quantum Theory of the Electron Liquid, Cambridge University Press (2005).
[42] E., Witten, Communications in Mathematical Physics, 92, 455 (1984).CrossRef
[43] I., Affleck, in Fields, Strings, and Critical Phenomena: Les Houches Summer School Proceedings, eds. E., Brezin and J., Zinn-Justin, North Holland (1991).
[44] F. D. M., Haldane, in Proceedings of the International School of Physics “Enrico Fermi,” Course CXXI “Perspectives in Many-Particle Physics”, eds. R., Broglia and J., Schrieffer, North Holland (1994).
[45] A., Houghton, H. J., Kwon, and J. B., Marston, Physical Review B, 50, 1351 (1994).CrossRef

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×