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The Conceptual Background of Density-Matrix Renormalization

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Computational Many-Particle Physics

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Reference

  1. S.R. White, Phys. Rev. Lett. 69, 2863 (1992)

    Article  ADS  Google Scholar 

  2. S.R. White, Phys. Rev. B 48, 10345 (1993)

    Article  ADS  Google Scholar 

  3. I. Peschel, X. Wang, M. Kaulke, K. Hallberg (eds.), Density-Matrix Renormalization. Lecture Notes in Physics 528 (Springer, Berlin, 1999)

    Google Scholar 

  4. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005)

    Article  ADS  Google Scholar 

  5. K.A. Hallberg, Adv. Phys. 55, 477 (2006)

    Article  ADS  Google Scholar 

  6. E. Schrödinger, Naturwissenschaften 23, 807 (1935)

    Article  ADS  Google Scholar 

  7. A. Ekert, P.L. Knight, Am. J. Phys 63, 415 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  8. R. Horn, C. Johnson, Topics in Matrix Analysis (Cambridge University Press, 1991), Chap. 3

    Google Scholar 

  9. E. Schmidt, Math. Annalen 63, 433 (1907)

    Article  Google Scholar 

  10. M.-C. Chung, I. Peschel, J. Phys. A: Math. Gen. 32, 8419 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. M.-C. Chung, I. Peschel, Phys. Rev. B 62, 4191 (2000)

    Article  ADS  Google Scholar 

  12. M.-C. Chung, I. Peschel, Phys. Rev. B 64, 064412 (2001)

    Article  ADS  Google Scholar 

  13. I. Peschel, J. Phys. A: Math. Gen. 36, L205 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. G. Vidal, J.I. Latorre, E. Rico, A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003)

    Article  ADS  Google Scholar 

  15. I. Peschel, J. Stat. Mech. P06004 (2004)

    Google Scholar 

  16. B.Q. Jin, V.E. Korepin, J. Stat. Phys. 116, 79 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. J.P. Keating, F. Mezzadri, Phys. Rev. Lett. 94, 050501 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  18. J. Eisert, M. Cramer, Phys. Rev. A 72, 042112 (2005)

    Article  ADS  Google Scholar 

  19. N. Laflorencie, Phys. Rev. B 72, 140408 (2005)

    Article  ADS  Google Scholar 

  20. V. Eisler, Z. Zimborás, Phys. Rev. A 71, 042318 (2005)

    Article  ADS  Google Scholar 

  21. P. Calabrese, J.L. Cardy, J. Stat. Mech. P04010 (2005)

    Google Scholar 

  22. T. Barthel, M.-C. Chung, U. Schollwöck, Phys. Rev. A 74, 022329 (2006)

    Article  ADS  Google Scholar 

  23. H. Casini, M. Huerta, J. Stat. Mech. P12012 (2005)

    Google Scholar 

  24. M. Cramer, J. Eisert, M.B. Plenio, J. Dreiig, Phys. Rev. A 73, 012309 (2006)

    Article  ADS  Google Scholar 

  25. I. Peschel, M. Kaulke, Ö. Legeza, Ann. Physik (Leipzig) 8, 153 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  26. I. Peschel, J. Stat. Mech. P12005 (2004)

    Google Scholar 

  27. R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982)

    MATH  Google Scholar 

  28. C. Holzhey, F. Larsen, F. Wilczek, Nucl. Phys. B 424, 443 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. P. Calabrese, J.L. Cardy, J. Stat. Mech. P06002 (2004)

    Google Scholar 

  30. S.A. Cheong, C.L. Henley, Phys. Rev. B 69, 075112 (2004)

    Article  ADS  Google Scholar 

  31. V. Eisler, Ö. Legeza, Z. Rácz, J. Stat. Mech. P11013 (2006)

    Google Scholar 

  32. V. Popkov, M. Salerno, G. Schütz, Phys. Rev. A 72, 032327 (2005)

    Article  ADS  Google Scholar 

  33. J. Vidal, S. Dusuel, T. Barthel, J. Stat. Mech.: Th. Exp. P01015 (2007)

    Google Scholar 

  34. K. Okunishi, Y. Hieida, Y. Akutsu, Phys. Rev. E 59, R6227 (1999)

    Article  ADS  Google Scholar 

  35. L. Bombelli, R.K. Koul, J. Lee, R.D. Sorkin, Phys. Rev. D 34, 373 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  36. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  37. M.M. Wolf, Phys. Rev. Lett. 96, 010404 (2006)

    Article  ADS  Google Scholar 

  38. D. Gioev, I. Klich, Phys. Rev. Lett. 96, 100503 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  39. W. Li, L. Ding, R. Yu, T. Roscilde, S. Haas, Phys. Rev. B 74, 073103 (2006)

    Article  ADS  Google Scholar 

  40. G. De Chiara, S. Montangero, P. Calabrese, R. Fazio, J. Stat. Mech. P03001 (2006)

    Google Scholar 

  41. Ö. Legeza, J. Sólyom, Phys. Rev. B 70, 205118 (2004)

    Google Scholar 

  42. V. Hakim, J.P. Nadal, J. Phys. A: Math. Gen. 16, L213 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  43. M. Fannes, B. Nachtergaele, R.F. Werner, Europhys. Lett. 10, 633 (1989)

    Article  ADS  Google Scholar 

  44. A. Klümper, A. Schadschneider, J. Zittartz, Z. Physik B 87, 281 (1992)

    Article  ADS  Google Scholar 

  45. I. Affleck, T. Kennedy, E.H. Lieb, H. Tasaki, Phys. Rev. Lett. 59, 799 (1987)

    Article  ADS  Google Scholar 

  46. B. Derrida, M.R. Evans, V. Hakim, V. Pasquier, J. Phys. A: Math. Gen. 26, 1493 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  47. I. Peschel, M. Kaulke, [3], Chap. II, § 3.1, p. 279

    Google Scholar 

  48. F. Verstraete, J.I. Cirac, Phys. Rev. B 73, 094423 (2006)

    Article  ADS  Google Scholar 

  49. S. Östlund, S. Rommer, Phys. Rev. Lett. 75, 3537 (1995)

    Article  ADS  Google Scholar 

  50. F. Verstraete, D. Porras, J.I. Cirac, Phys. Rev. Lett. 93, 227205 (2004)

    Article  ADS  Google Scholar 

  51. F. Verstraete, J.I. Cirac (2004). http://arxiv.org/abs/cond-mat/0407066. Preprint

    Google Scholar 

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Peschel, I., Eisler, V. (2008). The Conceptual Background of Density-Matrix Renormalization. In: Fehske, H., Schneider, R., Weiße, A. (eds) Computational Many-Particle Physics. Lecture Notes in Physics, vol 739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74686-7_20

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