Journal Article2023Cited by 1

Nodal-antinodal dichotomy from anisotropic quantum critical continua in holographic models

Ronnie Rodgers, Jewel Kumar Ghosh, Alexander Krikun

SciPost Phys. 14

Stichting SciPost, Vol. 14, Issue 161, ISBN: 2542-4653

DOI: 10.21468/scipostphys.14.6.161URL

Abstract

We demonstrate that the absence of stable quasiparticle excitations on parts of the Fermi surface, similar to the “nodal-antinodal dichotomy” in underdoped cuprate superconductors, can be reproduced in models of strongly correlated electrons defined via a holographic dual. We show analytically that the anisotropy of the quantum critical continuum, which is a feature of these models, may lead to washing out the quasiparticle peak in one direction while leaving it intact in the perpendicular one. The effect relies on the qualitatively different scaling of the self-energy in different directions. Using the explicit example of the anisotropic Q-lattice model, we demonstrate how this effect emerges due to specific features of the near horizon geometry of the black hole in the dual description.

Keywords

  • strongly correlated electrons
  • AdS/CFT correspondence
  • underdoped cuprates
  • quasiparticle peak
  • Fermi surface

CCDS Authors

Jewel Kumar Ghosh, PhD
Jewel Kumar Ghosh, PhD

Jewel Kumar Ghosh, PhD

  • Director, ComPAs Wing

Assistant Professor

Department of Physical Sciences

Independent University, Bangladesh

Published at

SciPost Physics

References

  1. 1.Edward Witten. (1998). Anti de Sitter space and holography. Advances in Theoretical and Mathematical Physics, 2(2), 253–291[10.4310/atmp.1998.v2.n2.a2]
  2. 2.S.S. Gubser, I.R. Klebanov, A.M. Polyakov. (1998). Gauge theory correlators from non-critical string theory. Physics Letters B, 428(1-2), 105–114[10.1016/s0370-2693(98)00377-3]
  3. 3.Juan Maldacena. (1999). The Large-N Limit of Superconformal Field Theories and Supergravity. International Journal of Theoretical Physics, 38(4), 1113–1133[10.1023/a:1026654312961]
  4. 4.Lloyd N. Trefethen. (2000). Spectral Methods in MATLAB. Society for Industrial and Applied Mathematics eBooks[10.1137/1.9780898719598]
  5. 5.Dam T Son, Andrei O Starinets. (2002). Minkowski-space correlators in AdS/CFT correspondence: recipe and applications. Journal of High Energy Physics, 2002(09), 042[10.1088/1126-6708/2002/09/042]
  6. 6.Jan Zaanen, Yan Liu, Ya-Wen Sun, Koenraad Schalm. (2015). Holographic Duality in Condensed Matter Physics. Cambridge University Press eBooks[10.1017/cbo9781139942492]
  7. 7.Mihailo Čubrović, Jan Zaanen, Koenraad Schalm. (2009). String Theory, Quantum Phase Transitions, and the Emergent Fermi Liquid. Science, 325(5939), 439–444[10.1126/science.1174962]
  8. 8.Thomas Faulkner, Hong Liu, John McGreevy, David Vegh. (2011). Emergent quantum criticality, Fermi surfaces, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 83(12)[10.1103/physrevd.83.125002]
  9. 9.Hong Liu, John McGreevy, David Vegh. (2011). Non-Fermi liquids from holography. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 83(6)[10.1103/physrevd.83.065029]
  10. 10.Christos Charmousis, Blaise Goutéraux, Bom Soo Kim, Elias Kiritsis, Rene Meyer. (2010). Effective holographic theories for low-temperature condensed matter systems. Journal of High Energy Physics, 2010(11)[10.1007/jhep11(2010)151]
  11. 11.Christopher P Herzog, Dam Thanh Son. (2003). Schwinger-Keldysh propagators from AdS/CFT correspondence. Journal of High Energy Physics, 2003(03), 046[10.1088/1126-6708/2003/03/046]
  12. 12.Anshul Kogar, Melinda S. Rak, Sean Vig, Ali A. Husain, Felix Flicker, Young Il Joe, Luc Venema, Greg J. MacDougall, Tai C. Chiang, Eduardo Fradkin, Jasper van Wezel, Peter Abbamonte. (2017). Signatures of exciton condensation in a transition metal dichalcogenide. Science, 358(6368), 1314–1317[10.1126/science.aam6432]
  13. 13.Nabil Iqbal, Hong Liu. (2009). Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 79(2)[10.1103/physrevd.79.025023]
  14. 14.Liza Huijse, Subir Sachdev, Brian Swingle. (2012). Hidden Fermi surfaces in compressible states of gauge-gravity duality. Physical Review B, 85(3)[10.1103/physrevb.85.035121]
  15. 15.Kyle M. Shen, F. Ronning, D. H. Lu, F. Baumberger, N. J. C. Ingle, W. S. Lee, W. Meevasana, Y. Kohsaka, M. Azuma, M. Takano, H. Takagi, Z.-X. Shen. (2005). Nodal Quasiparticles and Antinodal Charge Ordering in Ca <sub>2-x</sub> Na <sub>x</sub> CuO <sub>2</sub> Cl <sub>2</sub>. Science, 307(5711), 901–904[10.1126/science.1103627]
  16. 16.Xi Dong, Sarah Harrison, Shamit Kachru, Gonzalo Torroba, Huajia Wang. (2012). Aspects of holography for theories with hyperscaling violation. Journal of High Energy Physics, 2012(6)[10.1007/jhep06(2012)041]
  17. 17.N. Iqbal, H. Liu. (2009). Real‐time response in AdS/CFT with application to spinors. Fortschritte der Physik, 57(5-7), 367–384[10.1002/prop.200900057]
  18. 18.B. Goutéraux, E. Kiritsis. (2011). Generalized holographic quantum criticality at finite density. Journal of High Energy Physics, 2011(12)[10.1007/jhep12(2011)036]
  19. 19.Aristomenis Donos, Jerome P. Gauntlett. (2014). Holographic Q-lattices. Journal of High Energy Physics, 2014(4)[10.1007/jhep04(2014)040]
  20. 20.B. Goutéraux. (2014). Charge transport in holography with momentum dissipation. Journal of High Energy Physics, 2014(4)[10.1007/jhep04(2014)181]
  21. 21.Anton Rebhan, Dominik Steineder. (2012). Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma. Physical Review Letters, 108(2), 021601[10.1103/physrevlett.108.021601]
  22. 22.Thomas Faulkner, Joseph Polchinski. (2011). Semi-holographic Fermi liquids. Journal of High Energy Physics, 2011(6)[10.1007/jhep06(2011)012]
  23. 23.Matthew Headrick, Sam Kitchen, Toby Wiseman. (2010). A new approach to static numerical relativity and its application to Kaluza–Klein black holes. Classical and Quantum Gravity, 27(3), 035002[10.1088/0264-9381/27/3/035002]
  24. 24.David Mateos, Diego Trancanelli. (2011). Anisotropic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Super-Yang-Mills Plasma and Its Instabilities. Physical Review Letters, 107(10), 101601[10.1103/physrevlett.107.101601]
  25. 25.Aristomenis Donos, Jerome P. Gauntlett. (2014). Novel metals and insulators from holography. Journal of High Energy Physics, 2014(6)[10.1007/jhep06(2014)007]
  26. 26.Aristomenis Donos, Jerome P. Gauntlett. (2015). The thermoelectric properties of inhomogeneous holographic lattices. Journal of High Energy Physics, 2015(1)[10.1007/jhep01(2015)035]
  27. 27.Tomas Andrade, Alexander Krikun, Koenraad Schalm, Jan Zaanen. (2018). Doping the holographic Mott insulator. Nature Physics, 14(10), 1049–1055[10.1038/s41567-018-0217-6]
  28. 28.B. Goutéraux. (2014). Universal scaling properties of extremal cohesive holographic phases. Journal of High Energy Physics, 2014(1)[10.1007/jhep01(2014)080]
  29. 29.Thomas Faulkner, Gary T. Horowitz, John McGreevy, Matthew M. Roberts, David Vegh. (2010). Photoemission “experiments” on holographic superconductors. Journal of High Energy Physics, 2010(3)[10.1007/jhep03(2010)121]
  30. 30.Mohammad Edalati, Robert G. Leigh, Philip W. Phillips. (2011). Dynamically Generated Mott Gap from Holography. Physical Review Letters, 106(9), 091602[10.1103/physrevlett.106.091602]
  31. 31.Tom Faulkner, Nabil Iqbal, Hong Liu, John McGreevy, David Vegh. (2011). Holographic non-Fermi-liquid fixed points. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, 369(1941), 1640–1669[10.1098/rsta.2010.0354]
  32. 32.Mohammad Edalati, Robert G. Leigh, Ka Wai Lo, Philip W. Phillips. (2011). Dynamical gap and cupratelike physics from holography. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 83(4)[10.1103/physrevd.83.046012]
  33. 33.Alexander Adam, Sam Kitchen, Toby Wiseman. (2012). A numerical approach to finding general stationary vacuum black holes. Classical and Quantum Gravity, 29(16), 165002[10.1088/0264-9381/29/16/165002]
  34. 34.Sean Vig, Anshul Kogar, Matteo Mitrano, Ali Husain, Luc Venema, Mindy Rak, Vivek Mishra, Peter Johnson, Genda Gu, Eduardo Fradkin, Michael Norman, Peter Abbamonte. (2017). Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS). SciPost Physics, 3(4)[10.21468/scipostphys.3.4.026]
  35. 35.Umut Gürsoy, Erik Plauschinn, Henk Stoof, Stefan Vandoren. (2012). Holography and ARPES sum-rules. Journal of High Energy Physics, 2012(5)[10.1007/jhep05(2012)018]
  36. 36.Hyun-Sik Jeong, Yongjun Ahn, Dujin Ahn, Chao Niu, Wei-Jia Li, Keun-Young Kim. (2018). Thermal diffusivity and butterfly velocity in anisotropic Q-lattice models. Journal of High Energy Physics, 2018(1)[10.1007/jhep01(2018)140]
  37. 37.Yi Ling, Peng Liu, Chao Niu, Jian-Pin Wu, Zhuo-Yu Xian. (2014). Holographic fermionic system with dipole coupling on Q-lattice. Journal of High Energy Physics, 2014(12)[10.1007/jhep12(2014)149]
  38. 38.Aurelio Romero-Bermúdez, Alexander Krikun, Koenraad Schalm, Jan Zaanen. (2019). Anomalous attenuation of plasmons in strange metals and holography. Physical review. B./Physical review. B, 99(23)[10.1103/physrevb.99.235149]
  39. 39.Ibrahima Bah, Alberto Faraggi, Juan I. Jottar, Robert G. Leigh. (2011). Fermions and type IIB supergravity on squashed Sasaki-Einstein manifolds. Journal of High Energy Physics, 2011(1)[10.1007/jhep01(2011)100]
  40. 40.Tomas Andrade, Alexander Krikun. (2019). Coherent vs incoherent transport in holographic strange insulators. Journal of High Energy Physics, 2019(5)[10.1007/jhep05(2019)119]
  41. 41.Garrett Vanacore, Philip W. Phillips. (2014). Minding the gap in holographic models of interacting fermions. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 90(4)[10.1103/physrevd.90.044022]
  42. 42.Aristomenis Donos, Jerome P. Gauntlett, Omar Sosa-Rodriguez. (2016). Anisotropic plasmas from axion and dilaton deformations. Journal of High Energy Physics, 2016(11)[10.1007/jhep11(2016)002]
  43. 43.A. Bagrov, N. Kaplis, A. Krikun, K. Schalm, J. Zaanen. (2016). Holographic fermions at strong translational symmetry breaking: a Bianchi-VII case study. Journal of High Energy Physics, 2016(11)[10.1007/jhep11(2016)057]
  44. 44.Sera Cremonini, Li Li, Jie Ren. (2019). Spectral weight suppression and Fermi arc-like features with strong holographic lattices. Journal of High Energy Physics, 2019(9)[10.1007/jhep09(2019)014]
  45. 45.Garrett Vanacore, Srinidhi T. Ramamurthy, Philip W. Phillips. (2018). Evolution of holographic Fermi arcs from a Mott insulator. Journal of High Energy Physics, 2018(9)[10.1007/jhep09(2018)009]
  46. 46.N. W. M. Plantz, F. García Flórez, H. T. C. Stoof. (2018). Massive Dirac fermions from holography. Journal of High Energy Physics, 2018(4)[10.1007/jhep04(2018)123]
  47. 47.Nikolay Gnezdilov, Alexander Krikun, Koenraad Schalm, Jan Zaanen. (2019). Isolated zeros in the spectral function as signature of a quantum continuum. Physical review. B./Physical review. B, 99(16)[10.1103/physrevb.99.165149]
  48. 48.Jian-Pin Wu. (2019). Dynamical gap driven by Yukawa coupling in holography. The European Physical Journal C, 79(8)[10.1140/epjc/s10052-019-7203-8]
  49. 49.Carlos Hoyos, Peter Koroteev. (2010). Erratum: Null energy condition and causality in Lifshitz holography [Phys. Rev. D<b>82</b>, 084002 (2010)]. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 82(10)[10.1103/physrevd.82.109905]
  50. 50.Krikun, Alexander. (2018). Numerical Solution of the Boundary Value Problems for Partial Differential Equations. Crash course for holographer. arXiv (Cornell University)[10.48550/arxiv.1801.01483]
  51. 51.Donos, Aristomenis, Gauntlett, Jerome P.. (2014). Holographic Q-lattices. Durham Research Online (Durham University)[10.1007/jhep04%282014%29040]
  52. 52.Donos, Aristomenis, Gauntlett, Jerome P.. (2014). Novel metals and insulators from holography. Durham Research Online (Durham University)[10.1007/jhep06%282014%29007]
  53. 53.Vig, Sean, Kogar, Anshul, Mitrano, Matteo, Husain, Ali A, Venema, Luc, Rak, Melinda S, Mishra, Vivek, Johnson, Peter D, Gu, Genda D, Fradkin, Eduardo, Norman, Michael R, Abbamonte, Peter. (2017). Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS). eScholarship (California Digital Library)
  54. 54.Matteo Baggioli, Blaise Goutéraux. (2023). <i>Colloquium</i>: Hydrodynamics and holography of charge density wave phases. Reviews of Modern Physics, 95(1)[10.1103/revmodphys.95.011001]
  55. 55.Ibrahima Bah, Alberto Faraggi, Juan I. Jottar, Robert G. Leigh, Leopoldo A. Pando Zayas. (2011). Fermions and D = 11 supergravity on squashed Sasaki-Einstein manifolds. Journal of High Energy Physics, 2011(2)[10.1007/jhep02(2011)068]
  56. 56.Hyun-Sik Jeong, Keun-Young Kim, Yunseok Seo, Sang-Jin Sin, Shang-Yu Wu. (2020). Holographic spectral functions with momentum relaxation. Physical review. D/Physical review. D., 102(2)[10.1103/physrevd.102.026017]
  57. 57.Askar Iliasov, Andrey A. Bagrov, Mikhail I. Katsnelson, Alexander Krikun. (2020). Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices. Journal of High Energy Physics, 2020(1)[10.1007/jhep01(2020)065]
  58. 58.Aristomenis Donos, Jerome P. Gauntlett, Christiana Pantelidou. (2020). Holographic Abrikosov lattices. Journal of High Energy Physics, 2020(7)[10.1007/jhep07(2020)095]
  59. 59.Plantz, N. W. M., Florez, F. Garcia, Stoof, H. T. C., Sub Cond-Matter Theory, Stat & Comp Phys, Theoretical Physics. (2018). Massive Dirac fermions from holography. Utrecht University Repository (Utrecht University)[link]
  60. 60.Donos, Aristomenis, Gauntlett, Jerome P., Pantelidou, Christiana. (2020). Holographic Abrikosov lattices. Durham Research Online (Durham University)[10.1007/jhep07%282020%29095]
  61. 61.Edwin W. Huang, Kridsanaphong Limtragool, Chandan Setty, Ali A. Husain, Matteo Mitrano, Peter Abbamonte, Philip W. Phillips. (2021). Extracting correlation effects from momentum-resolved electron energy loss spectroscopy: Synergistic origin of the dispersion kink in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Bi</mml:mi><mml:mrow><mml:mn>2.1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>Sr</mml:mi><mml:mrow><mml:mn>1.9</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>CaCu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>8</mml:mn><mml:mo>+</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>. Physical review. B./Physical review. B, 103(3)[10.1103/physrevb.103.035121]
  62. 62.Filip Herček, Vladan Gecin, Mihailo Čubrović. (2023). Photoemission "experiments" on holographic lattices. SciPost Physics Core, 6(2)[10.21468/scipostphyscore.6.2.027]
  63. 63.Balm, Floris, Chagnet, Nicolas, Arend, Sam, Aretz, Joost, Grosvenor, Kevin, Janse, Martijn, Moors, Ole, Post, Jonah, Ohanesjan, Vladimir, Rodriguez-Fernandez, David, Schalm, Koenraad, Zaanen, Jan. (2022). T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential. arXiv (Cornell University)[10.48550/arxiv.2211.05492]

Cited By

  1. 1.Alexander Krikun, Uriel Elinos. (2024). Holographic timelike superconductor. Journal of High Energy Physics, 2024(3)[10.1007/jhep03(2024)011]
← All publications