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UV/IR mixing in non-Fermi liquids: higher-loop corrections in different energy ranges

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Abstract

We revisit the Ising-nematic quantum critical point with an m-dimensional Fermi surface by applying a dimensional regularization scheme, introduced in [I. Mandal, S.S. Lee, Phys. Rev. B 92, 035141 (2015)]. We compute the contribution from two-loop and three-loop diagrams in the intermediate energy range controlled by a crossover scale. We find that for m = 2, the corrections continue to be one-loop exact for both the infrared and intermediate energy regimes.

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Change history

  • 20 October 2021

    Reference 44 has been updated from the pre-print version to Reference 44. I. Mandal, Ann. Phys. (N. Y.), 376, 89 (2017).

References

  1. T. Holstein, R.E. Norton, P. Pincus, Phys. Rev. B 8, 2649 (1973)

    Article  ADS  Google Scholar 

  2. M.Y. Reizer, Phys. Rev. B 40, 11571 (1989)

    Article  ADS  Google Scholar 

  3. P.A. Lee, N. Nagaosa, Phys. Rev. B 46, 5621 (1992)

    Article  ADS  Google Scholar 

  4. B.I. Halperin, P.A. Lee, N. Read, Phys. Rev. B 47, 7312 (1993)

    Article  ADS  Google Scholar 

  5. J. Polchinski, Nucl. Phys. B 422, 617 (1994)

    Article  ADS  Google Scholar 

  6. B.L. Altshuler, L.B. Ioffe, A.J. Millis, Phys. Rev. B 50, 14048 (1994)

    Article  ADS  Google Scholar 

  7. E.A. Kim, M.J. Lawler, P. Oreto, S. Sachdev, E. Fradkin, S.A. Kivelson, Phys. Rev. B 77, 184514 (2008)

    Article  ADS  Google Scholar 

  8. C. Nayak, F. Wilczek, Nucl. Phys. B 430, 534 (1994)

    Article  ADS  Google Scholar 

  9. S.S. Lee, Phys. Rev. B 80, 165102 (2009)

    Article  ADS  Google Scholar 

  10. S. Sur, S.S. Lee, Phys. Rev. B 90, 045121 (2014)

    Article  ADS  Google Scholar 

  11. M.A. Metlitski, S. Sachdev, Phys. Rev. B 82, 075127 (2010)

    Article  ADS  Google Scholar 

  12. M.A. Metlitski, S. Sachdev, Phys. Rev. B 82, 075128 (2010)

    Article  ADS  Google Scholar 

  13. A. Abanov, A. Chubukov, Phys. Rev. Lett. 93, 255702 (2004)

    Article  ADS  Google Scholar 

  14. A. Abanov, A.V. Chubukov, Phys. Rev. Lett. 84, 5608 (2000)

    Article  ADS  Google Scholar 

  15. D.F. Mross, J. McGreevy, H. Liu, T. Senthil, Phys. Rev. B 82, 045121 (2010)

    Article  ADS  Google Scholar 

  16. H.C. Jiang, M.S. Block, R.V. Mishmash, J.R. Garrison, D.N. Sheng, O.I. Motrunich, M.P.A. Fisher, Nature 493, 39 (2013)

    Article  ADS  Google Scholar 

  17. D. Dalidovich, S.S. Lee, Phys. Rev. B 88, 245106 (2013)

    Article  ADS  Google Scholar 

  18. S. Sur, S.S. Lee, Phys. Rev. B 91, 125136 (2015)

    Article  ADS  Google Scholar 

  19. M.J. Lawler, D.G. Barci, V. Fernández, E. Fradkin, L. Oxman, Phys. Rev. B 73, 085101 (2006)

    Article  ADS  Google Scholar 

  20. I. Mandal, S.S. Lee, Phys. Rev. B 92, 035141 (2015)

    Article  ADS  Google Scholar 

  21. A. Eberlein, I. Mandal, S. Sachdev, Phys. Rev. B 94, 045133 (2016)

    Article  ADS  Google Scholar 

  22. S.B. Chung, I. Mandal, S. Raghu, S. Chakravarty, Phys. Rev. B 88, 045127 (2013)

    Article  ADS  Google Scholar 

  23. Z. Wang, I. Mandal, S.B. Chung, S. Chakravarty, Ann. Phys. 351, 727 (2014)

    Article  ADS  Google Scholar 

  24. V. Oganesyan, S.A. Kivelson, E. Fradkin, Phys. Rev. B 64, 195109 (2001)

    Article  ADS  Google Scholar 

  25. W. Metzner, D. Rohe, S. Andergassen, Phys. Rev. Lett. 91, 066402 (2003)

    Article  ADS  Google Scholar 

  26. L. Dell’Anna, W. Metzner, Phys. Rev. B 73, 045127 (2006)

    Article  ADS  Google Scholar 

  27. H.Y. Kee, E.H. Kim, C.H. Chung, Phys. Rev. B 68, 245109 (2003)

    Article  ADS  Google Scholar 

  28. M.J. Lawler, E. Fradkin, Phys. Rev. B 75, 033304 (2007)

    Article  ADS  Google Scholar 

  29. J. Rech, C. Pépin, A.V. Chubukov, Phys. Rev. B 74, 195126 (2006)

    Article  ADS  Google Scholar 

  30. P. Wölfle, A. Rosch, J. Low Temperature Phys. 147, 165 (2007)

    Article  ADS  Google Scholar 

  31. D.L. Maslov, A.V. Chubukov, Phys. Rev. B 81, 045110 (2010)

    Article  ADS  Google Scholar 

  32. J. Quintanilla, A.J. Schofield, Phys. Rev. B 74, 115126 (2006)

    Article  ADS  Google Scholar 

  33. H. Yamase, H. Kohno, J. Phys. Soc. Jpn 69, 2151 (2000)

    Article  ADS  Google Scholar 

  34. H. Yamase, V. Oganesyan, W. Metzner, Phys. Rev. B 72, 035114 (2005)

    Article  ADS  Google Scholar 

  35. C.J. Halboth, W. Metzner, Phys. Rev. Lett. 85, 5162 (2000)

    Article  ADS  Google Scholar 

  36. P. Jakubczyk, P. Strack, A.A. Katanin, W. Metzner, Phys. Rev. B 77, 195120 (2008)

    Article  ADS  Google Scholar 

  37. M. Zacharias, P. Wölfle, M. Garst, Phys. Rev. B 80, 165116 (2009)

    Article  ADS  Google Scholar 

  38. Y. Huh, S. Sachdev, Phys. Rev. B 78, 064512 (2008)

    Article  ADS  Google Scholar 

  39. O.I. Motrunich, Phys. Rev. B 72, 045105 (2005)

    Article  ADS  Google Scholar 

  40. S.S. Lee, P.A. Lee, Phys. Rev. Lett. 95, 036403 (2005)

    Article  ADS  Google Scholar 

  41. P.A. Lee, N. Nagaosa, X.G. Wen, Rev. Mod. Phys. 78, 17 (2006)

    Article  ADS  Google Scholar 

  42. O.I. Motrunich, M.P.A. Fisher, Phys. Rev. B 75, 235116 (2007)

    Article  ADS  Google Scholar 

  43. S. Sur, S.S. Lee, Phys. Rev. B 94, 195135 (2016)

    Article  ADS  Google Scholar 

  44. I. Mandal, Ann. Phys. (N. Y.) 376, 89 (2017)

    Article  ADS  Google Scholar 

  45. L. Yin, S. Chakravarty, Int. J. Mod. Phys. B 10, 805 (1996)

    Article  ADS  Google Scholar 

  46. T. Senthil, Phys. Rev. B 78, 035103 (2008)

    Article  ADS  Google Scholar 

  47. M.A. Metlitski, D.F. Mross, S. Sachdev, T. Senthil, Phys. Rev. B 91, 115111 (2015)

    Article  ADS  Google Scholar 

  48. I. Mandal, Phys. Rev. B 94, 115138 (2016)

    Article  ADS  Google Scholar 

  49. Y. Ando, K. Segawa, S. Komiya, A.N. Lavrov, Phys. Rev. Lett. 88, 137005 (2002)

    Article  ADS  Google Scholar 

  50. V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C.T. Lin, B. Keimer, Science 319, 597 (2008)

    Article  Google Scholar 

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Correspondence to Ipsita Mandal.

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Mandal, I. UV/IR mixing in non-Fermi liquids: higher-loop corrections in different energy ranges. Eur. Phys. J. B 89, 278 (2016). https://doi.org/10.1140/epjb/e2016-70509-4

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