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Formation of spatial patterns by spin-selective excitations of interacting fermions

T. Köhler1,2, S. Paeckel1,3, C. Meyer1, and S. R. Manmana1

  • 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany
  • 2Department of Physics and Astronomy, Uppsala University, Box 516, S-751 20 Uppsala, Sweden
  • 3Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, Munich Center for Quantum Science and Technology, Fakultät für Physik, Ludwig-Maximilians-Universität München, 80333 München, Germany

Phys. Rev. B 102, 235166 – Published 31 December, 2020

DOI: https://doi.org/10.1103/PhysRevB.102.235166

Abstract

We describe the formation of charge- and spin-density patterns induced by spin-selective photoexcitations of interacting fermionic systems in the presence of a microstructure. As an example, we consider a one-dimensional Hubbard-like system with a periodic magnetic microstructure, which has a uniform charge distribution in its ground state, and in which a long-lived charge-density pattern is induced by the spin-selective photoexcitation. Using tensor-network methods, we study the full quantum dynamics in the presence of electron-electron interactions and identify doublons as the main decay channel for the induced charge pattern. Our setup is compared to the optically induced spin transfer (OISTR) mechanism, in which ultrafast optically induced spin transfer in Heusler and magnetic compounds is associated to the difference of the local density of states of the different elements in the alloys. We find that applying a spin-selective excitation there induces spatially periodic patterns in local observables. Implications for pump-probe experiments on correlated materials and experiments with ultracold gases on optical lattices are discussed.

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References (131)

  1. J. Zhang, P. W. Hess, A. Kyprianidis, P. Becker, A. Lee, J. Smith, G. Pagano, I.-D. Potirniche, A. C. Potter, A. Vishwanath, N. Y. Yao, and C. Monroe, Nature (London) 543, 217 (2017).
  2. S. Choi, J. Choi, R. Landig, G. Kucsko, H. Zhou, J. Isoya, F. Jelezko, S. Onoda, H. Sumiya, V. Khemani, C. von Keyserlingk, N. Y. Yao, E. Demler, and M. D. Lukin, Nature (London) 543, 221 (2017).
  3. V. Khemani, A. Lazarides, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 116, 250401 (2016).
  4. K. Sacha and J. Zakrzewski, Rep. Prog. Phys. 81, 016401 (2018).
  5. D. V. Else, B. Bauer, and C. Nayak, Phys. Rev. Lett. 117, 090402 (2016).
  6. N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath, Phys. Rev. Lett. 118, 030401 (2017).
  7. N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vishwanath, Phys. Rev. Lett. 118, 269901(E) (2017).
  8. C. W. von Keyserlingk, V. Khemani, and S. L. Sondhi, Phys. Rev. B 94, 085112 (2016).
  9. D. V. Else, B. Bauer, and C. Nayak, Phys. Rev. X 7, 011026 (2017).
  10. R. Moessner and S. L. Sondhi, Nat. Phys. 13, 424 (2017).
  11. F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
  12. P. Baum, D.-S. Yang, and A. H. Zewail, Science 318, 788 (2007).
  13. C. W. Siders, A. Cavalleri, K. Sokolowski-Tinten, C. Tóth, T. Guo, M. Kammler, M. H. v. Hoegen, K. R. Wilson, D. v. d. Linde, and C. P. J. Barty, Science 286, 1340 (1999).
  14. E. Collet, M.-H. Lemée-Cailleau, M. Buron-Le Cointe, H. Cailleau, M. Wulff, T. Luty, S.-Y. Koshihara, M. Meyer, L. Toupet, P. Rabiller, and S. Techert, Science 300, 612 (2003).
  15. R. Y. Chen, S. J. Zhang, M. Y. Zhang, T. Dong, and N. L. Wang, Phys. Rev. Lett. 118, 107402 (2017).
  16. R. Mankowsky, B. Liu, S. Rajasekaran, H. Y. Liu, D. Mou, X. J. Zhou, R. Merlin, M. Först, and A. Cavalleri, Phys. Rev. Lett. 118, 116402 (2017).
  17. I. Avigo, S. Thirupathaiah, M. Ligges, T. Wolf, J. Fink, and U. Bovensiepen, New J. Phys. 18, 093028 (2016).
  18. Z. Tao, C. Chen, T. Szilvási, M. Keller, M. Mavrikakis, H. Kapteyn, and M. Murnane, Science 353, 62 (2016).
  19. M. Rini, R. Tobey, N. Dean, J. Itatani, Y. Tomioka, Y. Tokura, R. W. Schoenlein, and A. Cavalleri, Nature (London) 449, 72 (2007).
  20. W. Hu, S. Kaiser, D. Nicoletti, C. R. Hunt, I. Gierz, M. C. Hoffmann, M. Le Tacon, T. Loew, B. Keimer, and A. Cavalleri, Nat. Mater. 13, 705 (2014).
  21. T. Eggebrecht, M. Möller, J. G. Gatzmann, N. Rubiano da Silva, A. Feist, U. Martens, H. Ulrichs, M. Münzenberg, C. Ropers, and S. Schäfer, Phys. Rev. Lett. 118, 097203 (2017).
  22. D. Fausti, R. I. Tobey, N. Dean, S. Kaiser, A. Dienst, M. C. Hoffmann, S. Pyon, T. Takayama, H. Takagi, and A. Cavalleri, Science 331, 189 (2011).
  23. M. Mitrano, A. Cantaluppi, D. Nicoletti, S. Kaiser, A. Perucchi, S. Lupi, P. Di Pietro, D. Pontiroli, M. Riccò, S. R. Clark, D. Jaksch, and A. Cavalleri, Nature (London) 530, 461 (2016).
  24. P. D. Johnson and G. Güntherodt, in Handbook of Magnetism and Advanced Magnetic Materials (Wiley, New York, 2007), pp. 1635–1657.
  25. L. Rettig, R. Cortés, J.-H. Chu, I. R. Fisher, F. Schmitt, R. G. Moore, Z.-X. Shen, P. S. Kirchmann, M. Wolf, and U. Bovensiepen, Nat. Commun. 7, 10459 (2016).
  26. A. Singer, S. K. K. Patel, R. Kukreja, V. Uhlíř, J. Wingert, S. Festersen, D. Zhu, J. M. Glownia, H. T. Lemke, S. Nelson, M. Kozina, K. Rossnagel, M. Bauer, B. M. Murphy, O. M. Magnussen, E. E. Fullerton, and O. G. Shpyrko, Phys. Rev. Lett. 117, 056401 (2016).
  27. F. Schmitt, P. S. Kirchmann, U. Bovensiepen, R. G. Moore, L. Rettig, M. Krenz, J.-H. Chu, N. Ru, L. Perfetti, D. H. Lu, M. Wolf, I. R. Fisher, and Z.-X. Shen, Science 321, 1649 (2008).
  28. M. Ligges, I. Avigo, D. Golež, H. U. R. Strand, Y. Beyazit, K. Hanff, F. Diekmann, L. Stojchevska, M. Kalläne, P. Zhou, K. Rossnagel, M. Eckstein, P. Werner, and U. Bovensiepen, Phys. Rev. Lett. 120, 166401 (2018).
  29. T. Rohwer, S. Hellmann, M. Wiesenmayer, C. Sohrt, A. Stange, B. Slomski, A. Carr, Y. Liu, L. M. Avila, M. Kalläne, S. Mathias, L. Kipp, K. Rossnagel, and M. Bauer, Nature (London) 471, 490 (2011).
  30. S. Hellmann, T. Rohwer, M. Kalläne, K. Hanff, C. Sohrt, A. Stange, A. Carr, M. M. Murnane, H. C. Kapteyn, L. Kipp, M. Bauer, and K. Rossnagel, Nat. Commun. 3, 1069 (2012).
  31. S. Mathias, S. Eich, J. Urbancic, S. Michael, A. V. Carr, S. Emmerich, A. Stange, T. Popmintchev, T. Rohwer, M. Wiesenmayer, A. Ruffing, S. Jakobs, S. Hellmann, P. Matyba, C. Chen, L. Kipp, M. Bauer, H. C. Kapteyn, H. C. Schneider, K. Rossnagel, M. M. Murnane, and M. Aeschlimann, Nat. Commun. 7, 12902 (2016).
  32. L. Stojchevska, I. Vaskivskyi, T. Mertelj, P. Kusar, D. Svetin, S. Brazovskii, and D. Mihailovic, Science 344, 177 (2014).
  33. C. Laulhé, T. Huber, G. Lantz, A. Ferrer, S. O. Mariager, S. Grübel, J. Rittmann, J. A. Johnson, V. Esposito, A. Lübcke, L. Huber, M. Kubli, M. Savoini, V. L. R. Jacques, L. Cario, B. Corraze, E. Janod, G. Ingold, P. Beaud, S. L. Johnson, and S. Ravy, Phys. Rev. Lett. 118, 247401 (2017).
  34. S. Vogelgesang, G. Storeck, J. G. Horstmann, T. Diekmann, M. Sivis, S. Schramm, K. Rossnagel, S. Schäfer, and C. Ropers, Nat. Phys. 14, 184 (2017).
  35. A. Tomeljak, H. Schäfer, D. Städter, M. Beyer, K. Biljakovic, and J. Demsar, Phys. Rev. Lett. 102, 066404 (2009).
  36. L. Stojchevska, P. Kusar, T. Mertelj, V. V. Kabanov, Y. Toda, X. Yao, and D. Mihailovic, Phys. Rev. B 84, 180507(R) (2011).
  37. J. K. Freericks, O. P. Matveev, W. Shen, A. M. Shvaika, and T. P. Devereaux, Phys. Scr. 92, 034007 (2017).
  38. A. F. Kemper, M. A. Sentef, B. Moritz, T. P. Devereaux, and J. K. Freericks, Ann. Phys. (Leipzig) 529, 1600235 (2017).
  39. T. Tohyama, Eur. Phys. J.: Spec. Top. 222, 1065 (2013).
  40. W. Shen, Y. Ge, A. Y. Liu, H. R. Krishnamurthy, T. P. Devereaux, and J. K. Freericks, Phys. Rev. Lett. 112, 176404 (2014).
  41. Y. Wang, C.-C. Chen, B. Moritz, and T. P. Devereaux, Phys. Rev. Lett. 120, 246402 (2018).
  42. M. Claassen, H.-C. Jiang, B. Moritz, and T. P. Devereaux, Nat. Commun. 8, 1192 (2017).
  43. D. Golež, P. Werner, and M. Eckstein, Phys. Rev. B 94, 035121 (2016).
  44. Y. Murakami, D. Golež, M. Eckstein, and P. Werner, Phys. Rev. Lett. 119, 247601 (2017).
  45. Y. Wang, B. Moritz, C.-C. Chen, C. J. Jia, M. van Veenendaal, and T. P. Devereaux, Phys. Rev. Lett. 116, 086401 (2016).
  46. N. Dasari and M. Eckstein, Phys. Rev. B 98, 035113 (2018).
  47. M. A. Sentef, M. Claassen, A. F. Kemper, B. Moritz, T. Oka, J. K. Freericks, and T. P. Devereaux, Nat. Commun. 6, 7047 (2015).
  48. M. H. Kalthoff, G. S. Uhrig, and J. K. Freericks, Phys. Rev. B 98, 035138 (2018).
  49. H. Schaefer, V. V. Kabanov, and J. Demsar, Phys. Rev. B 89, 045106 (2014).
  50. N. Tsuji and P. Werner, Phys. Rev. B 88, 165115 (2013).
  51. K. Yonemitsu, J. Phys. Soc. Jpn. 86, 024711 (2017).
  52. H. Lu, S. Sota, H. Matsueda, J. Bonča, and T. Tohyama, Phys. Rev. Lett. 109, 197401 (2012).
  53. S. Paeckel, B. Fauseweh, A. Osterkorn, T. Köhler, D. Manske, and S. R. Manmana, Phys. Rev. B 101, 180507(R) (2020).
  54. P. Elliott, T. Müller, J. K. Dewhurst, S. Sharma, and E. K. U. Gross, Sci. Rep. 6, 38911 (2016).
  55. J. K. Dewhurst, P. Elliott, S. Shallcross, E. K. U. Gross, and S. Sharma, Nano Lett. 18, 1842 (2018).
  56. P. Tengdin, C. Gentry, A. Blonsky, D. Zusin, M. Gerrity, L. Hellbrück, M. Hofherr, J. Shaw, Y. Kvashnin, E. K. Delczeg-Czirjak, M. Arora, H. Nembach, T. J. Silva, S. Mathias, M. Aeschlimann, H. C. Kapteyn, D. Thonig, K. Koumpouras, O. Eriksson, and M. M. Murnane, Sci. Adv. 6, eaaz1100 (2020).
  57. D. Steil, J. Walowski, F. Gerhard, T. Kiessling, D. Ebke, A. Thomas, T. Kubota, M. Oogane, Y. Ando, J. Otto, A. Mann, M. Hofherr, P. Elliott, J. K. Dewhurst, G. Reiss, L. Molenkamp, M. Aeschlimann, M. Cinchetti, M. Münzenberg, S. Sharma, and S. Mathias, Phys. Rev. Research 2, 023199 (2020).
  58. M. Hofherr, S. Häuser, J. K. Dewhurst, P. Tengdin, S. Sakshath, H. T. Nembach, S. T. Weber, J. M. Shaw, T. J. Silva, H. C. Kapteyn, M. Cinchetti, B. Rethfeld, M. M. Murnane, D. Steil, B. Stadtmüller, S. Sharma, M. Aeschlimann, and S. Mathias, Sci. Adv. 6, eaay8717 (2020).
  59. T. Köhler, S. Rajpurohit, O. Schumann, S. Paeckel, F. R. A. Biebl, M. Sotoudeh, S. C. Kramer, P. E. Blöchl, S. Kehrein, and S. R. Manmana, Phys. Rev. B 97, 235120 (2018).
  60. J. Hubbard and J. B. Torrance, Phys. Rev. Lett. 47, 1750 (1981).
  61. S. R. Manmana, V. Meden, R. M. Noack, and K. Schönhammer, Phys. Rev. B 70, 155115 (2004).
  62. M. Messer, R. Desbuquois, T. Uehlinger, G. Jotzu, S. Huber, D. Greif, and T. Esslinger, Phys. Rev. Lett. 115, 115303 (2015).
  63. L. Stenzel, A. L. C. Hayward, C. Hubig, U. Schollwöck, and F. Heidrich-Meisner, Phys. Rev. A 99, 053614 (2019).
  64. P. Bruno, Y. Suzuki, and C. Chappert, Phys. Rev. B 53, 9214 (1996).
  65. R. E. Peierls, Z. Phys. 80, 763 (1933).
  66. J. H. Mentink, K. Balzer, and M. Eckstein, Nat. Commun. 6, 6708 (2015).
  67. M. Eckstein and P. Werner, Phys. Rev. B 88, 075135 (2013).
  68. W. Greiner, Relativistic Quantum Mechanics: Wave Equations, 3rd ed. (Springer-Verlag, Berlin, 2000).
  69. J. Kirschner, Polarized Electrons at Surfaces, Springer Tracts in Modern Physics Vol. 106 (Springer-Verlag, Berlin, 1985).
  70. P. D. Johnson, Rep. Prog. Phys. 60, 1217 (1997).
  71. T. Okuda, J. Phys.: Condens. Matter 29, 483001 (2017).
  72. Z.-H. Zhu, C. N. Veenstra, S. Zhdanovich, M. P. Schneider, T. Okuda, K. Miyamoto, S.-Y. Zhu, H. Namatame, M. Taniguchi, M. W. Haverkort, I. S. Elfimov, and A. Damascelli, Phys. Rev. Lett. 112, 076802 (2014).
  73. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008).
  74. F. Dorfner, L. Vidmar, C. Brockt, E. Jeckelmann, and F. Heidrich-Meisner, Phys. Rev. B 91, 104302 (2015).
  75. J. Stolpp, J. Herbrych, F. Dorfner, E. Dagotto, and F. Heidrich-Meisner, Phys. Rev. B 101, 035134 (2020).
  76. D. Jansen, J. Bonča, and F. Heidrich-Meisner, Phys. Rev. B 102, 165155 (2020).
  77. T. Köhler, J. Stolpp, and S. Paeckel, arXiv:2008.08466 (2020).
  78. M. Tezuka, R. Arita, and H. Aoki, Phys. Rev. B 76, 155114 (2007).
  79. R. P. Hardikar and R. T. Clay, Phys. Rev. B 75, 245103 (2007).
  80. A. Nocera, M. Soltanieh-ha, C. A. Perroni, V. Cataudella, and A. E. Feiguin, Phys. Rev. B 90, 195134 (2014).
  81. F. H. L. Essler, H. Frahm, F. Göhmann, A. Klümper, and V. E. Korepin, The One-Dimensional Hubbard Model (Cambridge University, Cambridge, England, 2005).
  82. T. Esslinger, Annu. Rev. Condens. Matter Phys. 1, 129 (2010).
  83. J. Herbrych, G. Alvarez, A. Moreo, and E. Dagotto, Phys. Rev. B 102, 115134 (2020).
  84. O. Schumann, Master's thesis, Georg-August-Universität Göttingen, 2016.
  85. S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck, and C. Hubig, Ann. Phys. (NY) 411, 167998 (2019).
  86. P. E. Dargel, A. Wöllert, A. Honecker, I. P. McCulloch, U. Schollwöck, and T. Pruschke, Phys. Rev. B 85, 205119 (2012).
  87. M. P. Zaletel, R. S. K. Mong, C. Karrasch, J. E. Moore, and F. Pollmann, Phys. Rev. B 91, 165112 (2015).
  88. J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken, and F. Verstraete, Phys. Rev. B 94, 165116 (2016).
  89. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
  90. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004).
  91. S. R. White and A. E. Feiguin, Phys. Rev. Lett. 93, 076401 (2004).
  92. F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Phys. Rev. Lett. 93, 207204 (2004).
  93. J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Phys. Rev. Lett. 107, 070601 (2011).
  94. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. (2004) P04005.
  95. J. J. García-Ripoll, New J. Phys. 8, 305 (2006).
  96. S. Paeckel, T. Köhler, and S. R. Manmana, SciPost Phys. 3, 035 (2017).
  97. T. Giamarchi, Quantum Physics in One Dimension, International Series of Monographs on Physics Vol. 121 (Oxford University, New York, 2004).
  98. G. Bedürftig, B. Brendel, H. Frahm, and R. M. Noack, Phys. Rev. B 58, 10225 (1998).
  99. C. Kollath, A. Iucci, I. P. McCulloch, and T. Giamarchi, Phys. Rev. A 74, 041604(R) (2006).
  100. D. Greif, L. Tarruell, T. Uehlinger, R. Jördens, and T. Esslinger, Phys. Rev. Lett. 106, 145302 (2011).
  101. N. Strohmaier, D. Greif, R. Jördens, L. Tarruell, H. Moritz, T. Esslinger, R. Sensarma, D. Pekker, E. Altman, and E. Demler, Phys. Rev. Lett. 104, 080401 (2010).
  102. R. Sensarma, D. Pekker, E. Altman, E. Demler, N. Strohmaier, D. Greif, R. Jördens, L. Tarruell, H. Moritz, and T. Esslinger, Phys. Rev. B 82, 224302 (2010).
  103. S. Peil, J. V. Porto, B. L. Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A 67, 051603(R) (2003).
  104. J. Sebby-Strabley, M. Anderlini, P. S. Jessen, and J. V. Porto, Phys. Rev. A 73, 033605 (2006).
  105. S. Trotzky, P. Cheinet, S. Folling, M. Feld, U. Schnorrberger, A. M. Rey, A. Polkovnikov, E. A. Demler, M. D. Lukin, and I. Bloch, Science 319, 295 (2008).
  106. M. Anderlini, P. J. Lee, B. L. Brown, J. Sebby-Strabley, W. D. Phillips, and J. V. Porto, Nature (London) 448, 452 (2007).
  107. M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen, and I. Bloch, Appl. Phys. B 113, 1 (2013).
  108. M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen, and I. Bloch, Phys. Rev. Lett. 107, 255301 (2011).
  109. B. Yang, H.-N. Dai, H. Sun, A. Reingruber, Z.-S. Yuan, and J.-W. Pan, Phys. Rev. A 96, 011602(R) (2017).
  110. M. Lohse, C. Schweizer, O. Zilberberg, M. Aidelsburger, and I. Bloch, Nat. Phys. 12, 350 (2015), article.
  111. C. Schweizer, M. Lohse, R. Citro, and I. Bloch, Phys. Rev. Lett. 117, 170405 (2016).
  112. R. Kaneko, L. F. Tocchio, R. Valentí, and F. Becca, New J. Phys. 19, 103033 (2017).
  113. J. Chang, E. Blackburn, A. T. Holmes, N. B. Christensen, J. Larsen, J. Mesot, R. Liang, D. A. Bonn, W. N. Hardy, A. Watenphul, M. v. Zimmermann, E. M. Forgan, and S. M. Hayden, Nat. Phys. 8, 871 (2012).
  114. G. Ghiringhelli, M. Le Tacon, M. Minola, S. Blanco-Canosa, C. Mazzoli, N. B. Brookes, G. M. De Luca, A. Frano, D. G. Hawthorn, F. He, T. Loew, M. M. Sala, D. C. Peets, M. Salluzzo, E. Schierle, R. Sutarto, G. A. Sawatzky, E. Weschke, B. Keimer, and L. Braicovich, Science 337, 821 (2012).
  115. A. J. Achkar, R. Sutarto, X. Mao, F. He, A. Frano, S. Blanco-Canosa, M. Le Tacon, G. Ghiringhelli, L. Braicovich, M. Minola, M. Moretti Sala, C. Mazzoli, R. Liang, D. A. Bonn, W. N. Hardy, B. Keimer, G. A. Sawatzky, and D. G. Hawthorn, Phys. Rev. Lett. 109, 167001 (2012).
  116. M. Hücker, N. B. Christensen, A. T. Holmes, E. Blackburn, E. M. Forgan, R. Liang, D. A. Bonn, W. N. Hardy, O. Gutowski, M. v. Zimmermann, S. M. Hayden, and J. Chang, Phys. Rev. B 90, 054514 (2014).
  117. T. Wu, H. Mayaffre, S. Krämer, M. Horvatič, C. Berthier, W. N. Hardy, R. Liang, D. A. Bonn, and M.-H. Julien, Nature (London) 477, 191 (2011).
  118. S. Gerber, H. Jang, H. Nojiri, S. Matsuzawa, H. Yasumura, D. A. Bonn, R. Liang, W. N. Hardy, Z. Islam, A. Mehta, S. Song, M. Sikorski, D. Stefanescu, Y. Feng, S. A. Kivelson, T. P. Devereaux, Z.-X. Shen, C.-C. Kao, W.-S. Lee, D. Zhu, and J.-S. Lee, Science 350, 949 (2015).
  119. M. H. Hamidian, S. D. Edkins, K. Fujita, A. Kostin, A. P. Mackenzie, H. Eisaki, S. Uchida, M. J. Lawler, E.-A. Kim, S. Sachdev, and J. C. Séamus Davis, arXiv:1508.00620 (2015).
  120. S. D. Edkins, A. Kostin, K. Fujita, A. P. Mackenzie, H. Eisaki, S.-I. Uchida, S. Sachdev, M. J. Lawler, E.-A. Kim, J. C. Séamus Davis, and M. H. Hamidian, Science 364, 976 (2019).
  121. E. H. da S. Neto, P. Aynajian, A. Frano, R. Comin, E. Schierle, E. Weschke, A. Gyenis, J. Wen, J. Schneeloch, Z. Xu, S. Ono, G. Gu, M. Le Tacon, and A. Yazdani, Science 343, 393 (2014).
  122. G. Campi, A. Ricci, N. Poccia, M. Fratini, and A. Bianconi, Condensed Matter 2, 26 (2017).
  123. W. S. Bakr, J. I. Gillen, A. Peng, S. Fölling, and M. Greiner, Nature (London) 462, 74 (2009).
  124. M. F. Parsons, F. Huber, A. Mazurenko, C. S. Chiu, W. Setiawan, K. Wooley-Brown, S. Blatt, and M. Greiner, Phys. Rev. Lett. 114, 213002 (2015).
  125. L. W. Cheuk, M. A. Nichols, M. Okan, T. Gersdorf, V. V. Ramasesh, W. S. Bakr, T. Lompe, and M. W. Zwierlein, Phys. Rev. Lett. 114, 193001 (2015).
  126. A. Omran, M. Boll, T. A. Hilker, K. Kleinlein, G. Salomon, I. Bloch, and C. Gross, Phys. Rev. Lett. 115, 263001 (2015).
  127. C. Gross and I. Bloch, Science 357, 995 (2017).
  128. M. Boll, T. A. Hilker, G. Salomon, A. Omran, J. Nespolo, L. Pollet, I. Bloch, and C. Gross, Science 353, 1257 (2016).
  129. A. V. Gorshkov, M. Hermele, V. Gurarie, C. Xu, P. S. Julienne, J. Ye, P. Zoller, E. Demler, M. D. Lukin, and A. M. Rey, Nat. Phys. 6, 289 (2010).
  130. S. Paeckel and T. Köhler, SymMPS, https://www.symmps.eu, accessed 29 Dec. 2019.
  131. H. Benthien, F. Gebhard, and E. Jeckelmann, Phys. Rev. Lett. 92, 256401 (2004).

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