New Kind of Magneto-Optical Resonance Observed in the Organic Metal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">α</mml:mi><mml:mi>−</mml:mi><mml:mo>(</mml:mo><mml:mi>BEDT</mml:mi><mml:mi>−</mml:mi><mml:mi>TTF</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mi>KHg</mml:mi><mml:mo>(</mml:mo><mml:mi>SCN</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mo>)</mml:mo></mml:mrow

Ardavan, Arzhang; Schrama, J. M.; Blundell, S. J.; Singleton, John; Hayes, W.; Kurmoo, Mohamedally; Day, Peter; Goy, P.

doi:10.1103/physrevlett.81.713

Cited by 65 publications

(66 citation statements)

References 14 publications

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“…Whereas in our treatment these features arise from a component of the field in the x direction, in Ref. 4 they are attributed to the presence of warping in the Fermi surface associated with t 11 and t 12 . 16 Also, since Eq.…”

Section: F Typical Parameter Valuesmentioning

confidence: 99%

“…Layered organic metals 1,2 are ideal for such experiments due to their high purity and a number of experiments have been performed. 3,4 In this paper, we show that when the magnetic field is tilted away from the normal to the layers that there are well-defined resonances in the interlayer conductivity when the frequency equals a harmonic of the frequency at which the magnetic field causes electrons to traverse the Fermi surface within the layers. This occurs for both quasi-two and quasi-one-dimensional systems.…”

Section: ͓S0163-1829͑99͒51240-x͔mentioning

confidence: 99%

“…͑2͒ when ␣ϭ0. 14 This can be used to interpret recent observations 4 of frequency-dependent resonances in the low-temperature phase of ␣-(BEDT-TTF) 2 KHg(SCN) 4 . In order to make a clearer connection with Ref.…”

Section: F Typical Parameter Valuesmentioning

confidence: 99%

“…An alternative interpretation of the origin of the resonances was given in Ref. 4 in terms of a quasi-onedimensional band structure, 15 where the interlayer transport includes hopping beyond next-nearest neighbors, ⑀͑k x ,k y ,k z ͒ϭបv F ͉͑k x ͉Ϫk F ͒Ϫ ͚ m,n t mn cos͑mk y bϩnk z c ͒ ͑9͒ and each sum is over all the integers. This can be compared to our dispersion ͑1͒, which corresponds to Eq.…”

Section: F Typical Parameter Valuesmentioning

confidence: 99%

“…In order to make a clearer connection with Ref. 4 we change to angular coordinates similar to that used there, where B ជ ϭ(sin ,cos sin ,cos cos ). The nth resonance will occur with intensity J n (␥ tan /cos ) 2 when / 0 ϭn cos cos Ϫ(c/b)cos sin which can be rewritten as cos n / 0 cos ϭn sin( ϩ n ) where tan n ϭc/nb and 0 cos is proportional to B ʈ , the component of the field parallel to the yϪz plane.…”

Section: F Typical Parameter Valuesmentioning

confidence: 99%

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Periodic orbit resonances in layered metals in tilted magnetic fields

McKenzie

Moses

1999

Phys. Rev. B

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The frequency dependence of the interlayer conductivity of a layered Fermi liquid in a magnetic field that is tilted away from the normal to the layers is considered. For both quasi-one-and quasi-two-dimensional systems resonances occur when the frequency is a harmonic of the frequency at which the magnetic field causes the electrons to oscillate on the Fermi surface within the layers. The intensity of the different harmonic resonances varies significantly with the direction of the field. The resonances occur for both coherent and weakly incoherent interlayer transport and so their observation does not imply the existence of a threedimensional Fermi surface. ͓S0163-1829͑99͒51240-X͔ There is considerable interest in performing frequencydependent transport measurements on strongly correlated metals in the hope that they will provide information about the metallic state such as a direct determination of the scattering rate. Layered organic metals 1,2 are ideal for such experiments due to their high purity and a number of experiments have been performed. 3,4 In this paper, we show that when the magnetic field is tilted away from the normal to the layers that there are well-defined resonances in the interlayer conductivity when the frequency equals a harmonic of the frequency at which the magnetic field causes electrons to traverse the Fermi surface within the layers. This occurs for both quasi-two and quasi-one-dimensional systems. The intensity of the resonances at different harmonics varies significantly with the direction of the field. For example, it is possible to choose the field direction so one will see predominantly only odd or even harmonic resonances. In general, a three-dimensional Fermi surface is not necessary for the observation of the resonances. We also compare our results to previous theoretical work, 5,6 which has involved more complicated band structures.We assume a Fermi liquid within the layers with the simplest possible dispersion relation ⑀(k x ,k y ). For quasi-onedimensional systems we takewhere v F is the Fermi velocity, k F is the Fermi wave vector, t b the interchain hopping integral, and b the interchain distance. For the quasi-two-dimensional case, ⑀(k x ,k y ) ϭប 2 /2m*(k x 2 ϩk y 2 ) where m* is the effective mass. Solution of the semi-classical equations of motion shows that in a magnetic field B normal to the layers electrons move across the Fermi surface within the layers at a periodic orbit frequency 0 , which equals ev F bB/ប or eB/m* for the quasione-and quasi-two-dimensional cases, respectively.We consider a magnetic field tilted at an angle away from the normal to the layers. For the quasi-one-dimensional case, we at first only consider the case where the field is confined to the xϪz plane, i.e., the plane containing the most and least-conducting directions. This is done for reasons of simplicity; later in the paper, we consider more general field directions for the quasi-one-dimensional case. We have calculated the frequency-dependent interlayer conductivity for two differen...

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Section: F Typical Parameter Valuesmentioning

confidence: 99%

Section: ͓S0163-1829͑99͒51240-x͔mentioning

confidence: 99%

Section: F Typical Parameter Valuesmentioning

confidence: 99%

Section: F Typical Parameter Valuesmentioning

confidence: 99%

Section: F Typical Parameter Valuesmentioning

confidence: 99%

See 3 more Smart Citations

Periodic orbit resonances in layered metals in tilted magnetic fields

McKenzie

Moses

1999

Phys. Rev. B

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Cyclotron resonance on anisotropic energy surfaces analyzed for a magnetic field tilted with respect to the crystallographic axes

Olszewski¹,

Baszczak²

2003

Physica Status Solidi (b)

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PACS 71.15 Dx, 76.40.+b Parameters characterizing the electron motion performed in the cyclotron resonance effect, especially the electron gyration frequency, are calculated as functions of the angle with which the direction of a constant magnetic field is tilted with respect to the direction of one of the crystallographic axes. Tightly bound s electrons forming bands of states in simple cubic and body-centered cubic lattices have been chosen for the calculations as examples for the electron and crystal. In each lattice case an equation for the electron motion performed along a closed anisotropic surface of constant energy has been derived and solved on the basis of a semi-classical theory.

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Electron gyration modified in the magnetic field tilted to the symmetry species of a crystalline metal

Olszewski¹,

Roliński²

2006

Physica Status Solidi (b)

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When a crystal electron is gyrating in the magnetic field being normal to the crystallographic plane, the calculation of the gyration frequency represents a relatively easy task. The paper approaches a more complicated problem of the gyration frequency in the case when the magnetic field is tilted to the crystallographic axes. The tightly-bound s-electrons in crystal lattices of cubic symmetry are considered as examples. Another problem concerns a metal plate for which the changes of the electron gyration frequency are examined as a function of the inclination angle of the magnetic field with respect to the planar boundaries of that plate.

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New Kind of Magneto-Optical Resonance Observed in the Organic Metalα−(BEDT−TTF)2KHg(SCN)

Cited by 65 publications

References 14 publications

Periodic orbit resonances in layered metals in tilted magnetic fields

Periodic orbit resonances in layered metals in tilted magnetic fields

Cyclotron resonance on anisotropic energy surfaces analyzed for a magnetic field tilted with respect to the crystallographic axes

Electron gyration modified in the magnetic field tilted to the symmetry species of a crystalline metal

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