A theory of multiple photon absorption by graphene in intense laser fields. Issue 1 (10th December 2012)

• Record Type: Journal Article
• Authors: Faisal, Farhad H. M.; Hommelhoff, Peter; Kling, Matthias; Stockman, Mark
• Is Part Of: Annalen der Physik. Volume 525:Issue 1/2(2013)
• Page Start: 171
• Page End: 179
• Publication Date: 2012-12-10
• Subjects: Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201200174
• Languages: English
• ISSNs: 0003-3804

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>A theoretical analysis of multiple photon absorption by Dirac fermions in graphene subjected to intense laser fields is made. An analytic expression for the probability of <italic>n</italic>‐photon absorption is derived. It shows that the fundamental functional dependence of <italic>n</italic> photon absorption rate is governed by a Bessel function of order <italic>n</italic>, <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg1tsbp52s" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:00033804:andp201200174:equation:andp201200174-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>g</mml:mi><mml:mo form="prefix">cos</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>ϕ</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>θ</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>, where <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg1tsbp583" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:00033804:andp201200174:equation:andp201200174-math-0002" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>v</mml:mi><mml:mi>F</mml:mi></mml:msub><mml:mfrac><mml:mrow><mml:mi>e</mml:mi><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>ℏ</mml:mi><mml:msup><mml:mi>ω</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math>, <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg1tsbp55f" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:00033804:andp201200174:equation:andp201200174-math-0003" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>v</mml:mi><mml:mi>F</mml:mi></mml:msub></mml:math> is the Fermi‐velocity, <italic>F</italic> is the peak field strength, ω is the frequency; <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg1tsbp4sv" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:00033804:andp201200174:equation:andp201200174-math-0004" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>ϕ</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> and θ<sub>0</sub> are the polar angles of the fermion momentum and the laser polarization, respectively. The result is used to investigate the rate of <italic>n</italic> photon absorption in the THz and the near‐infrared domains and both in the weak‐field perturbative, and the strong‐field non‐perturbative intensity regimes. Formation of an <italic>n</italic>‐photon absorption plateau followed by an exponential cut‐off beyond <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg1tsbp4m3" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" altimg="urn:x-wiley:00033804:andp201200174:equation:andp201200174-math-0005" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>o</mml:mi><mml:mi>f</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mi>g</mml:mi></mml:mrow></mml:math> is also predicted to occur.</p> </abstract>