Nonlocal optical response in topological phase transitions in the graphene family

Rodriguez-Lopez, Pablo; de Melo Kort-Kamp, Wilton Junior; Dalvit, Diego Alejandro Roberto; Woods, Lilia M.

doi:10.1103/PhysRevMaterials.2.014003

Title: Nonlocal optical response in topological phase transitions in the graphene family

Journal Article · Mon Jan 22 00:00:00 EST 2018 · Physical Review Materials

DOI:https://doi.org/10.1103/PhysRevMaterials.2.014003· OSTI ID:1431075

Rodriguez-Lopez, Pablo ^[1];

^[2];

^[2]; Woods, Lilia M. ^[3]

Inst. de Ciencia de Materiales de Madrid, Madrid (Spain). Materials Science Factory; Univ. of South Florida, Tampa, FL (United States). Dept. of Physics; GISC-Grupo Interdisciplinar de Sistemas Complejos, Madrid (Spain)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of South Florida, Tampa, FL (United States). Dept. of Physics

We investigate the electromagnetic response of staggered two-dimensional materials of the graphene family, including silicene, germanene, and stanene, as they are driven through various topological phase transitions using external fields. Utilizing Kubo formalism, we compute their optical conductivity tensor taking into account the frequency and wave vector of the electromagnetic excitations, and study its behavior over the full electronic phase diagram of the materials. In particular, we find that the resonant behavior of the nonlocal Hall conductivity is strongly affected by the various topological phases present in these materials. We also consider the plasmon excitations in the graphene family and find that nonlocality in the optical response can affect the plasmon dispersion spectra of the various phases. Here, we find a regime of wave vectors for which the plasmon relations for phases with trivial topology are essentially indistinguishable, while those for phases with nontrivial topology are distinct and are redshifted as the corresponding Chern number increases. Finally, the expressions for the conductivity components are valid for the entire graphene family and can be readily used by others.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396; FG02-06ER46297

OSTI ID:: 1431075

Alternate ID(s):: OSTI ID: 1417711

Report Number(s):: LA-UR-17-30514; PRMHAR; TRN: US1802643

Journal Information:: Physical Review Materials, Vol. 2, Issue 1; ISSN 2475-9953

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

References (64)

Dynamical polarization function, plasmons, and screening in silicene and other buckled honeycomb lattices Tabert, C. J.; Nicol, E. J. Physical Review B, Vol. 89, Issue 19 https://doi.org/10.1103/PhysRevB.89.195410	journal	May 2014
Experimental Evidence for Epitaxial Silicene on Diboride Thin Films Fleurence, Antoine; Friedlein, Rainer; Ozaki, Taisuke Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.245501	journal	June 2012
Continuous Germanene Layer on Al(111) Derivaz, Mickael; Dentel, Didier; Stephan, Régis Nano Letters, Vol. 15, Issue 4 https://doi.org/10.1021/acs.nanolett.5b00085	journal	March 2015
Casimir force phase transitions in the graphene family Rodriguez-Lopez, Pablo; Kort-Kamp, Wilton J. M.; Dalvit, Diego A. R. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14699	journal	March 2017
Why all the fuss about 2D semiconductors? Castellanos-Gomez, Andres Nature Photonics, Vol. 10, Issue 4 https://doi.org/10.1038/nphoton.2016.53	journal	March 2016
Measurement of the Optical Conductivity of Graphene Mak, Kin Fai; Sfeir, Matthew Y.; Wu, Yang Physical Review Letters, Vol. 101, Issue 19 https://doi.org/10.1103/PhysRevLett.101.196405	journal	November 2008
Topological to trivial insulating phase transition in stanene Houssa, Michel; van den Broek, Bas; Iordanidou, Konstantina Nano Research, Vol. 9, Issue 3 https://doi.org/10.1007/s12274-015-0956-y	journal	January 2016
Silicene transistors Le Lay, Guy Nature Nanotechnology, Vol. 10, Issue 3 https://doi.org/10.1038/nnano.2015.10	journal	February 2015
Dynamical polarization, screening, and plasmons in gapped graphene Pyatkovskiy, P. K. Journal of Physics: Condensed Matter, Vol. 21, Issue 2 https://doi.org/10.1088/0953-8984/21/2/025506	journal	December 2008
High-energy collective electronic excitations in free-standing single-layer graphene Wachsmuth, P.; Hambach, R.; Kinyanjui, M. K. Physical Review B, Vol. 88, Issue 7 https://doi.org/10.1103/PhysRevB.88.075433	journal	August 2013
Repulsive Casimir Effect with Chern Insulators Rodriguez-Lopez, Pablo; Grushin, Adolfo G. Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.056804	journal	February 2014
Synthesis and chemistry of elemental 2D materials Mannix, Andrew J.; Kiraly, Brian; Hersam, Mark C. Nature Reviews Chemistry, Vol. 1, Issue 2 https://doi.org/10.1038/s41570-016-0014	journal	January 2017
Extracting the complex optical conductivity of mono- and bilayer graphene by ellipsometry Chang, You-Chia; Liu, Chang-Hua; Liu, Che-Hung Applied Physics Letters, Vol. 104, Issue 26 https://doi.org/10.1063/1.4887364	journal	June 2014
Graphene Plasmonics for Terahertz to Mid-Infrared Applications Low, Tony; Avouris, Phaedon ACS Nano, Vol. 8, Issue 2 https://doi.org/10.1021/nn406627u	journal	January 2014
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Raman spectroscopy as a versatile tool for studying the properties of graphene Ferrari, Andrea C.; Basko, Denis M. Nature Nanotechnology, Vol. 8, Issue 4 https://doi.org/10.1038/nnano.2013.46	journal	April 2013
Semiclassical spatially dispersive intraband conductivity tensor and quantum capacitance of graphene Lovat, Giampiero; Hanson, George W.; Araneo, Rodolfo Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115429	journal	March 2013
Plasmon modes of a massive Dirac plasma, and their superlattices Sachdeva, Rashi; Thakur, Anmol; Vignale, Giovanni Physical Review B, Vol. 91, Issue 20 https://doi.org/10.1103/PhysRevB.91.205426	journal	May 2015
Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium Liu, Cheng-Cheng; Feng, Wanxiang; Yao, Yugui Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.076802	journal	August 2011
Epitaxial growth of two-dimensional stanene Zhu, Feng-feng; Chen, Wei-jiong; Xu, Yong Nature Materials, Vol. 14, Issue 10 https://doi.org/10.1038/nmat4384	journal	August 2015
Seeing Many-Body Effects in Single- and Few-Layer Graphene: Observation of Two-Dimensional Saddle-Point Excitons Mak, Kin Fai; Shan, Jie; Heinz, Tony F. Physical Review Letters, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevLett.106.046401	journal	January 2011
Graphitization process of SiC(0001) studied by electron energy loss spectroscopy Langer, T.; Pfnür, H.; Schumacher, H. W. Applied Physics Letters, Vol. 94, Issue 11 https://doi.org/10.1063/1.3100776	journal	March 2009
Dynamical polarization of graphene at finite doping Wunsch, B.; Stauber, T.; Sols, F. New Journal of Physics, Vol. 8, Issue 12 https://doi.org/10.1088/1367-2630/8/12/318	journal	December 2006
Photo-Induced Topological Superconductor in Silicene, Germanene, and Stanene Ezawa, Motohiko Journal of Superconductivity and Novel Magnetism, Vol. 28, Issue 4 https://doi.org/10.1007/s10948-014-2900-x	journal	December 2014
Germanene: a novel two-dimensional germanium allotrope akin to graphene and silicene Dávila, M. E.; Xian, L.; Cahangirov, S. New Journal of Physics, Vol. 16, Issue 9 https://doi.org/10.1088/1367-2630/16/9/095002	journal	September 2014
Feature-rich electronic excitations of silicene in external fields Wu, Jhao-Ying; Chen, Szu-Chao; Gumbs, Godfrey Physical Review B, Vol. 94, Issue 20 https://doi.org/10.1103/PhysRevB.94.205427	journal	November 2016
Structure of Silicene Grown on Ag(111) Lin, Chun-Liang; Arafune, Ryuichi; Kawahara, Kazuaki Applied Physics Express, Vol. 5, Issue 4 https://doi.org/10.1143/APEX.5.045802	journal	March 2012
Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin Liu, Cheng-Cheng; Jiang, Hua; Yao, Yugui Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195430	journal	November 2011
Photoinduced Topological Phase Transition and a Single Dirac-Cone State in Silicene Ezawa, Motohiko Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.026603	journal	January 2013
Optical conductivities and signatures of topological insulators with hexagonal warping Xiao, Xiao; Wen, Weijia Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevB.88.045442	journal	July 2013
Statistical-Mechanical Theory of Irreversible Processes. II. Response to Thermal Disturbance Kubo, Ryogo; Yokota, Mario; Nakajima, Sadao Journal of the Physical Society of Japan, Vol. 12, Issue 11 https://doi.org/10.1143/JPSJ.12.1203	journal	November 1957
Active magneto-optical control of spontaneous emission in graphene Kort-Kamp, W. J. M.; Amorim, B.; Bastos, G. Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.205415	journal	November 2015
QED2+1 with nonzero fermion density and the quantum Hall effect Zeitlin, Vadim Physics Letters B, Vol. 352, Issue 3-4 https://doi.org/10.1016/0370-2693(95)00488-7	journal	June 1995
Two- and One-Dimensional Honeycomb Structures of Silicon and Germanium Cahangirov, S.; Topsakal, M.; Aktürk, E. Physical Review Letters, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevLett.102.236804	journal	June 2009
Space-time dispersion of graphene conductivity Falkovsky, L. A.; Varlamov, A. A. The European Physical Journal B, Vol. 56, Issue 4 https://doi.org/10.1140/epjb/e2007-00142-3	journal	April 2007
Monolayer Topological Insulators: Silicene, Germanene, and Stanene Ezawa, Motohiko Journal of the Physical Society of Japan, Vol. 84, Issue 12 https://doi.org/10.7566/JPSJ.84.121003	journal	December 2015
Massive Dirac quasiparticles in the optical absorbance of graphene, silicene, germanene, and tinene Matthes, Lars; Pulci, Olivia; Bechstedt, Friedhelm Journal of Physics: Condensed Matter, Vol. 25, Issue 39 https://doi.org/10.1088/0953-8984/25/39/395305	journal	September 2013
Graphene Plasmonics: Challenges and Opportunities García de Abajo, F. Javier ACS Photonics, Vol. 1, Issue 3 https://doi.org/10.1021/ph400147y	journal	February 2014
Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene Ezawa, Motohiko Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.055502	journal	August 2012
Few layer epitaxial germanene: a novel two-dimensional Dirac material Dávila, María Eugenia; Le Lay, Guy Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep20714	journal	February 2016
Giant Magneto-Optical Kerr Effect and Universal Faraday Effect in Thin-Film Topological Insulators Tse, Wang-Kong; MacDonald, A. H. Physical Review Letters, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevLett.105.057401	journal	July 2010
Plasmon spectroscopy of free-standing graphene films Eberlein, T.; Bangert, U.; Nair, R. R. Physical Review B, Vol. 77, Issue 23 https://doi.org/10.1103/PhysRevB.77.233406	journal	June 2008
Broad Electrical Tuning of Graphene-Loaded Plasmonic Antennas Yao, Yu; Kats, Mikhail A.; Genevet, Patrice Nano Letters, Vol. 13, Issue 3 https://doi.org/10.1021/nl3047943	journal	February 2013
Elemental Analogues of Graphene: Silicene, Germanene, Stanene, and Phosphorene Balendhran, Sivacarendran; Walia, Sumeet; Nili, Hussein Small, Vol. 11, Issue 6 https://doi.org/10.1002/smll.201402041	journal	November 2014
Silicene: Compelling Experimental Evidence for Graphenelike Two-Dimensional Silicon Vogt, Patrick; De Padova, Paola; Quaresima, Claudio Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.155501	journal	April 2012
Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals Tabert, C. J.; Nicol, E. J. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.197402	journal	May 2013
Graphene-based near-field optical microscopy: high-resolution imaging using reconfigurable gratings Inampudi, Sandeep; Cheng, Jierong; Mosallaei, Hossein Applied Optics, Vol. 56, Issue 11 https://doi.org/10.1364/AO.56.003132	journal	January 2017
Magneto-optical Faraday and Kerr effects in topological insulator films and in other layered quantized Hall systems Tse, Wang-Kong; MacDonald, A. H. Physical Review B, Vol. 84, Issue 20 https://doi.org/10.1103/PhysRevB.84.205327	journal	November 2011
Fine Structure Constant Defines Visual Transparency of Graphene Nair, R. R.; Blake, P.; Grigorenko, A. N. Science, Vol. 320, Issue 5881 https://doi.org/10.1126/science.1156965	journal	June 2008
Many-body corrections to the polarizability of the two-dimensional electron gas Maldague, Pierre F. Surface Science, Vol. 73 https://doi.org/10.1016/0039-6028(78)90507-1	journal	May 1978
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies Momeni, Ali; Rouhi, Kasra; Rajabalipanah, Hamid Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-24553-2	journal	April 2018
Graphitization process of SiC(0001) studied by electron energy loss spectroscopy Langer, T.; Pfnür, Herbert; Schumacher, H. W. College Park, MD : American Institute of Physics https://doi.org/10.15488/2758	other	January 2009
Raman spectroscopy as a versatile tool for studying the properties of graphene. Ferrari, Andrea; Basko, Denis M. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.26732	text	January 2013
The electronic properties of graphene Neto, A. H. Castro; Guinea, F.; Peres, N. M. R. arXiv https://doi.org/10.48550/arxiv.0709.1163	text	January 2007
Dynamical polarization, screening, and plasmons in gapped graphene Pyatkovskiy, P. K. arXiv https://doi.org/10.48550/arxiv.0808.0931	text	January 2008
Magneto-Optical Faraday and Kerr Effects in Topological Insulator Films and in Other Layered Quantized Hall Systems Tse, Wang-Kong; MacDonald, A. H. arXiv https://doi.org/10.48550/arxiv.1108.3858	text	January 2011
Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene Ezawa, Motohiko arXiv https://doi.org/10.48550/arxiv.1203.0705	text	January 2012
Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals Tabert, Calvin J.; Nicol, Elisabeth J. arXiv https://doi.org/10.48550/arxiv.1303.3316	text	January 2013
Repulsive Casimir Effect with Chern insulators Rodriguez-Lopez, Pablo; Grushin, Adolfo G. arXiv https://doi.org/10.48550/arxiv.1310.2470	text	January 2013
Graphene Plasmonics: Challenges and Opportunities de Abajo, F. Javier Garcia arXiv https://doi.org/10.48550/arxiv.1402.1969	text	January 2014
Dynamical Polarization Function, Plasmons and Screening in Silicene and Other Buckled Honeycomb Lattices Tabert, Calvin J.; Nicol, Elisabeth J. arXiv https://doi.org/10.48550/arxiv.1403.4618	text	January 2014
Epitaxial Growth of Two-Dimensional Stanene Zhu, Fengfeng; Chen, Wei-jiong; Xu, Yong arXiv https://doi.org/10.48550/arxiv.1506.01601	text	January 2015
Active magneto-optical control of spontaneous emission in graphene Kort-Kamp, W. J. M.; Amorim, B.; Bastos, G. arXiv https://doi.org/10.48550/arxiv.1506.02176	text	January 2015
Casimir Force Phase Transitions in the Graphene Family Rodriguez-Lopez, Pablo; Kort-Kamp, Wilton J. M.; Dalvit, Diego A. R. arXiv https://doi.org/10.48550/arxiv.1609.05193	text	January 2016

Cited By (6)

Thermal Casimir and Casimir–Polder interactions in N parallel 2D Dirac materials Khusnutdinov, Nail; Kashapov, Rashid; Woods, Lilia M. 2D Materials, Vol. 5, Issue 3 https://doi.org/10.1088/2053-1583/aac612	journal	June 2018
Theory of the strain-induced magnetoelectric effect in planar Dirac systems Rodriguez-Lopez, Pablo; Cortijo, Alberto Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/physrevb.97.235128	journal	June 2018
Photonic spin Hall effect in bilayer graphene moiré superlattices Kort-Kamp, W. J. M.; Culchac, F. J.; Capaz, Rodrigo B. Physical Review B, Vol. 98, Issue 19 https://doi.org/10.1103/physrevb.98.195431	journal	November 2018
Casimir Effects in 2D Dirac Materials (Scientific Summary) Khusnutdinov, N.; Woods, L. M. JETP Letters, Vol. 110, Issue 3 https://doi.org/10.1134/s0021364019150013	journal	August 2019
Theory of the Strain-Induced Magnetoelectric Effect in Planar Dirac Systems Rodriguez-Lopez, Pablo; Cortijo, Alberto arXiv https://doi.org/10.48550/arxiv.1711.09917	text	January 2017
Thermal Casimir and Casimir-Polder interactions in $N$ parallel 2D Dirac materials Khusnutdinov, Nail; Kashapov, Rashid; Woods, Lilia M. arXiv https://doi.org/10.48550/arxiv.1801.08119	text	January 2018

Similar Records

Casimir force phase transitions in the graphene family

Journal Article · Wed Mar 15 00:00:00 EDT 2017 · Nature Communications · OSTI ID:1431075

Rodriguez-Lopez, Pablo; Kort-Kamp, Wilton J. M.; Dalvit, Diego A. R.; +1 more

Thermally driven phase transitions in freestanding low-buckled silicene, germanene, and stanene

Journal Article · Wed May 31 00:00:00 EDT 2023 · Physical Review Materials · OSTI ID:1431075

Davis, John M.; Orozco-Galvan, Gustavo S.; Barraza-Lopez, Salvador

Detecting topological phases in silicene by anomalous Nernst effect

Journal Article · Mon May 16 00:00:00 EDT 2016 · Applied Physics Letters · OSTI ID:1431075

Xu, Yafang; Zhou, Xingfei; Jin, Guojun

Related Subjects

36 MATERIALS SCIENCE
Energy Sciences
Material Science

Title: Nonlocal optical response in topological phase transitions in the graphene family

Citation Formats

References (64)

Cited By (6)

Similar Records

Related Subjects