Zero modes and global antiferromagnetism in strained graphene

Physical Review X

Volumn 4, Issue 2, 2014, Pages

  Roy, Bitan ^a,b   Assaad, Fakher F ^c,d   Herbut, Igor F ^d,e  

^a Florida State University   (United States)

^b University of Maryland   (United States)

^c UNIVERSITY OF WÜRZBURG   (Germany)

^d MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^e SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Condensed matter physics; Graphene; Strongly correlated materials

Indexed keywords

CONDENSED MATTER PHYSICS; GROUND STATE; HONEYCOMB STRUCTURES; HUBBARD MODEL; MAGNETIZATION; MONTE CARLO METHODS;

FERROMAGNETIC ORDERS; HUBBARD HAMILTONIANS; HUBBARD INTERACTION; LOCAL MAGNETIZATION; MAGNETIC GROUND STATE; NUMERICAL CALCULATION; STRONGLY CORRELATED MATERIALS; TOTAL MAGNETIZATION;

GRAPHENE;

EID: 84904556697     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.4.021042     Document Type: Article

References (42)

1. J. González, F. Guinea, and M. A. H. Vozmediano, Marginal-Fermi-Liquid Behavior from Two-Dimensional Coulomb Interaction, Phys. Rev. B 59, R2474 (1999)
2. S. Sorella and E. Tosatti, Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice, Europhys. Lett. 19, 699 (1992)
3. T. Paiva, R. T. Scalettar, W. Zheng, R. R. P. Singh, and J. Oitmaa, Ground-State and Finite-Temperature Signatures of Quantum Phase Transitions in the Half-Filled Hubbard Model on a Honeycomb Lattice, Phys. Rev. B 72, 085123 (2005)
4. D. V. Khveshchenko, Ghost Excitonic Insulator Transition in Layered Graphite, Phys. Rev. Lett. 87, 246802 (2001)
5. D. Khveshchenko and H. Leal, Excitonic Instability in Layered Degenerate Semimetals, Nucl. Phys. B687, 323 (2004)
6. I. F. Herbut, Interactions and Phase Transitions on Graphene's Honeycomb Lattice, Phys. Rev. Lett. 97, 146401 (2006)
7. I. F. Herbut, V. Jurič ić, and B. Roy, Theory of Interacting Electrons on the Honeycomb Lattice, Phys. Rev. B 79, 085116 (2009)
8. J. E. Drut and T. A. Lähde, Is Graphene in Vacuum an Insulator?, Phys. Rev. Lett. 102, 026802 (2009)
9. J. E. Drut and T. A. Lähde, Lattice Field Theory Simulations of Graphene, Phys. Rev. B 79, 165425 (2009)
10. J. E. Drut and T. A. Lähde, Critical Exponents of the Semimetal-Insulator Transition in Graphene: A Monte Carlo Study, Phys. Rev. B 79, 241405 (2009)
11. E. V. Castro, A. G. Grushin, B. Valenzuela, M. A. H. Vozmediano, A. Cortijo, and F. de Juan, Topological Fermi Liquids from Coulomb Interactions in the Doped Honeycomb Lattice, Phys. Rev. Lett. 107, 106402 (2011)
12. A. G. Grushin, E. V. Castro, A. Cortijo, F. de Juan, M. A. H. Vozmediano, and B. Valenzuela, Charge Instabilities and Topological Phases in the Extended Hubbard Model on the Honeycomb Lattice with Enlarged Unit Cell, Phys. Rev. B 87, 085136 (2013)
13. J. González, Dynamical Breakdown of Parity and Time-Reversal Invariance in the Many-Body Theory of Graphene, J. High Energy Phys. 07 (2013) 175
14. Z. Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, and A. Muramatsu, Quantum Spin Liquid Emerging in Two-Dimensional Correlated Dirac Fermions, Nature (London) 464, 847 (2010)
15. S. Sorella, Y. Otsuka, and S. Yunoki, Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice, Sci. Rep. 2, 992 (2012)
16. F. F. Assaad and I. F. Herbut, Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice, Phys. Rev. X 3, 031010 (2013)
17. T. C. Lang, Z. Y. Meng, A. Muramatsu, S. Wessel, and F. F. Assaad, Dimerized Solids and Resonating Plaquette Order in SU{eth}N{Thorn}-Dirac Fermions, Phys. Rev. Lett. 111, 066401 (2013)
18. I. F. Herbut, V. Jurič ić, and O. Vafek, Relativistic Mott Criticality in Graphene, Phys. Rev. B 80, 075432 (2009)
19. B. Roy, Multicritical Behavior of Z2 × O{eth}2{Thorn} Gross-Neveu-Yukawa Theory in Graphene, Phys. Rev. B 84, 113404 (2011)
20. B. Rosenstein, H.-L. Yu, and A. Kovner, Critical Exponents of New Universality Classes, Phys. Lett. B 314, 381 (1993)
21. V. N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea, and A. H. Castro Neto, Electron-Electron Interactions in Graphene: Current Status and Perspectives, Rev. Mod. Phys. 84, 1067 (2012)
22. I. F. Herbut, Pseudomagnetic Catalysis of the Time-Reversal Symmetry Breaking in Graphene, Phys. Rev. B 78, 205433 (2008)
23. P. Ghaemi, J. Cayssol, D. N. Sheng, and A. Vishwanath, Fractional Topological Phases and Broken Time-Reversal Symmetry in Strained Graphene, Phys. Rev. Lett. 108, 266801 (2012)
24. B. Roy and I. F. Herbut, Topological Insulators in Strained Graphene at Weak Interaction, Phys. Rev. B 88, 045425 (2013)
25. B. Roy and V. Juričić, Strain-Induced Time-Reversal Odd Superconductivity in Graphene, arXiv:1309.0507
26. F. Guinea, M. I. Katsnelson, and A. K. Geim, Energy Gaps and a Zero-Field Quantum Hall Effect in Graphene by Strain Engineering, Nat. Phys. 6, 30 (2010)
27. Y. Aharonov and A. Casher, Ground State of a Spin-1=2 Charged Particle in a Two-Dimensional Magnetic Field, Phys. Rev. A 19, 2461 (1979)
28. N. Levy, S. A. Burke, K. L. Meaker, M. Panlasigui, A. Zettl, F. Guinea, A. H. C. Neto, and M. F. Crommie, Strain-Induced PseudoMagnetic Fields Greater Than 300 Tesla in Graphene Nanobubbles, Science 329, 544 (2010)
29. J. Lu, A. H. C. Neto, and K. P. Loh, Transforming Moiré Blisters into Geometric Graphene Nano-bubbles, Nat. Commun. 3, 823 (2012)
30. K. K. Gomes, W. Mar, W. Ko, F. Guinea, and H. C. Manoharan, Designer Dirac Fermions and Topological Phases in Molecular Graphene, Nature (London) 483, 306 (2012)
31. R. Jackiw and S.-Y. Pi, Chiral Gauge Theory for Graphene, Phys. Rev. Lett. 98, 266402 (2007)
32. B. Roy, Odd Integer Quantum Hall Effect in Graphene, Phys. Rev. B 84, 035458 (2011)
33. B. Roy, Magnetic-Field Induced Inequivalent Vortex Zero Modes in Strained Graphene, Phys. Rev. B 85, 165453 (2012)
34. B. Roy, Z.-X. Hu, and K. Yang, Theory of Unconventional Quantum Hall Effect in Strained Graphene, Phys. Rev. B 87, 121408 (2013)
35. O. Motrunich, K. Damle, and D. A. Huse, Particle-Hole Symmetric Localization in Two Dimensions, Phys. Rev. B 65, 064206 (2002)
36. B. Roy and I. F. Herbut, Inhomogeneous Magnetic Catalysis on Graphenes Honeycomb Lattice, Phys. Rev. B 83, 195422 (2011)
37. I. F. Herbut, SO(3) Symmetry between Néel and Ferromagnetic Order Parameters for Graphene in a Magnetic Field, Phys. Rev. B 76, 085432 (2007)
38. B. Roy, Theory of Integer Quantum Hall Effect in Insulating Bilayer Graphene, Phys. Rev. B 89, 201401(R) (2014)
39. I. F. Herbut, Theory of Integer Quantum Hall Effect in Graphene, Phys. Rev. B 75, 165411 (2007)
40. F. F. Assaad and H. G. Evertz, in Computational Many Particle Physics, Lecture Notes in Physics Vol. 739, edited by H. Fehske, R. Schneider, and A.Weiße (Springer-Verlag, Berlin, 2008), pp. 277-356
41. A. Kubetzka, P. Ferriani,M. Bode, S. Heinze, G. Bihlmayer, K. von Bergmann, O. Pietzsch, S. Blügel, and R. Wiesendanger, Revealing Antiferromagnetic Order of the Fe Monolayer on W(001): Spin-Polarized Scanning Tunneling Microscopy and First-Principles Calculations, Phys. Rev. Lett. 94, 087204 (2005)
42. A. Wachowiak, J. Wiebe, M. Bode, O. Pietzsch, M. Morgenstern, and R. Wiesendanger, Direct Observation of Internal Spin Structure of Magnetic Vortex Cores, Science 298, 577 (2002)