Quantum oscillations in quasi-one-dimensional metals with spin-density-wave ground states

Brooks, J. S.; O’Brien, Jeremy L; Starrett, R.P.; Clark, Robert G.; McKenzie, Ross H.; Han, S. Y.; Qualls, J. S.; Takasaki, S.; Yamada, Jun−ichi; Anzai, Hiroyuki; Mielke, C. H.; Montgomery, L. K.

doi:10.1103/physrevb.59.2604

Cited by 17 publications

(20 citation statements)

References 22 publications

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“…This unusual behavior has been seen before in quasi-1D and quasi-2D materials; however, the oscillations in question in these studies were only seen in electric transport, not dHvA, measurements. 10,[23][24][25] For one of these materials, it was determined that a gap opens in the electronic spectrum at the SDW transition temperature as determined from NMR measurements which display activated Korringa-like behavior for TϽT SDW . 26 These results along with the analysis of the specific heat data point to CeRhIn 5 as having a gapped Fermi surface due to the formation of an anisotropic SDW.…”

Section: De Haas-van Alphen Effectmentioning

confidence: 99%

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

et al. 2000

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We have used high pulsed magnetic fields to 50 T to observe de Haas-van Alphen oscillations in the tetragonal antiferromagnet CeRhIn 5 , which has an enhanced value of the electronic specific heat coefficient ␥տ420 mJ/mol K 2 . For TϽT N , the specific heat data at zero applied magnetic field are consistent with the existence of an anisotropic spin-density wave opening a gap in the Fermi surface. The low-temperature magnetization reveals a magnetic phase transition that appears to be first order in nature. Quantum oscillations, which are observed for TϽT N when Bʈ͓100͔ and Bʈ͓001͔, reveal an anisotropic Fermi surface. The temperature dependence of the amplitudes of the quantum oscillations shows anomalous behavior for Bʈ͓001͔ as a maximum at T*Ϸ1.2 K is observed which we attribute to a gap opening in the anisotropic Fermi surface. The electronic and magnetic properties are anisotropic due to the quasi-two-dimensional crystal structure.

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Section: De Haas-van Alphen Effectmentioning

confidence: 99%

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

et al. 2000

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“…In contrast, the periodic orbits in a quasi-one-dimensional metal do not produce such oscillations, raising the question of what might be clear experimental signatures of the existence of the periodic orbits. 9 The result ͑2͒ shows that frequency-dependent resonances in the interlayer conductivity provide a means to directly establish the periodic motion of the electrons in a quasi-onedimensional system and to determine the Fermi velocity v F . It has been proposed that in strongly correlated chains with weak-interchain coupling that coherence is confined to the chains.…”

Section: Open Orbit Resonancesmentioning

confidence: 99%

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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“…In all cases where the RO have been observed, a Fermi-surface reconstruction has occurred. Here the Fermi surface has been nested by one or more of three possible mechanisms: anion ordering ͑AO͒ where low-symmetry anions such as ClO 4 , ReO 4 , and NO 3 order in such a way as to double the unit cell; spin-density wave formation ͑SDW͒ for high symmetry anions such as PF 6 and AsF 6 , where the Fermi surface nests due to a Peierls-type instability; and FISDW, as described above. The oscillation frequency of the RO is typically between 200 and 300 T, which represents about 3% of the Brillouin zone.…”

mentioning

confidence: 99%

“…One may conclude, based on the mechanisms proposed in Refs. [4][5][6][7], that no RO effect should occur in the original Q1D Fermi-surface configuration. The present work is entirely consistent with this description.…”

mentioning

confidence: 99%

Quantum oscillations in(DMET−TSeF)
Biškup
¹
,
Brooks
²
,
Kato
³

et al. 1999
Phys. Rev. B
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0
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We report magnetoresistance measurements to 33 T at low temperatures in dimethil͑ethylendithio͒tetraselenafulvalene ͑DMET-TSeF͒ 2 AuCl 2 , an organic conductor with a strictly quasi-one-dimensional electronic structure at low temperatures. Magnetic field induced spin-density wave ͑FISDW͒ transitions, similar in origin to those observed in the Bechgaard salts, are investigated vs temperature and tilted magnetic field. Rapid oscillations ͑RO͒ of about 300 T are detected in this material, but only in the FISDW states. We conclude from this study that the reconstruction of a one-dimensional Fermi surface is a necessary condition for the RO phenomena to occur, and we describe the form of the resulting electronic structure. ͓S0163-1829͑99͒50446-3͔Low dimensional metals represent one of the fundamental areas of condensed-matter physics. In particular, quasi-onedimensional ͑Q1D͒ metals are of interest due to the nature of the instabilities which drive the many competing ground states, and for the possibility of strong electron correlation effects. In pursuit of this, the Bechgaard salts, a class of quasi-one-dimensional organic conductors, 1 have been the subject of numerous investigations, particularly in high magnetic fields. Most prominent are magneto-oscillatory effects, observed at liquid-helium temperatures, which fall into two classes: magnetic field induced spin-density wave ͑FISDW͒ transitions, and rapid oscillations ͑RO͒. The FISDW transitions are known to come from the improvement of the nesting condition of the Q1D Fermi surface with increasing magnetic field, which causes a Fermi-surface reconstruction and produces small electron and hole pockets. 1 The quantum oscillation frequency associated with these transitions, which is of the order of 60 T, arises from the quantization of the nesting vector with quantum number N. In contrast, the origin of the RO oscillations has been controversial since in principle, a one-dimensional open Fermi surface cannot support Shubnikov-de Haas ͑SdH͒ oscillations. Experiments in tilted magnetic fields show that both the FISDW and RO frequencies follow an angular dependence which is characteristic of quasi-two-dimensional ͑Q2D͒ pockets which result from the nesting of the Q1D Fermi surface.To accurately describe seemingly anomalous properties such as the RO phenomena, or other unusual effects which may arise, 2,3 a proper understanding of the electronic structure of a Q1D material is essential. The Bechgaard compounds, represented by (TMTSF) 2 X, are 2:1 charge-transfer salts involving a cation TMTSF and an anion X. In all cases where the RO have been observed, a Fermi-surface reconstruction has occurred. Here the Fermi surface has been nested by one or more of three possible mechanisms: anion ordering ͑AO͒ where low-symmetry anions such as ClO 4 , ReO 4 , and NO 3 order in such a way as to double the unit cell; spin-density wave formation ͑SDW͒ for high symmetry anions such as PF 6 and AsF 6 , where the Fermi surface nests due to a Peierls-type instability; and FISDW, as desc...

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Quantum oscillations in quasi-one-dimensional metals with spin-density-wave ground states

Cited by 17 publications

References 22 publications

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

Periodic orbit resonances in layered metals in tilted magnetic fields

Quantum oscillations in(DMET−TSeF)
Biškup
¹
,
Brooks
²
,
Kato
³

et al. 1999
Phys. Rev. B
Self Cite
15
0
12
0
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Quantum oscillations in quasi-one-dimensional metals with spin-density-wave ground states

Cited by 17 publications

References 22 publications

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

Anisotropic electronic and magnetic properties of the quasi-two-dimensional heavy-fermion antiferromagnetCeRhIn5

Periodic orbit resonances in layered metals in tilted magnetic fields

Quantum oscillations in(DMET−TSeF)Biškup1, Brooks2, Kato3 et al. 1999Phys. Rev. BSelf Cite150120View full textAdd to dashboardCite

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Quantum oscillations in(DMET−TSeF)
Biškup
¹
,
Brooks
²
,
Kato
³

et al. 1999
Phys. Rev. B
Self Cite
15
0
12
0
View full text Add to dashboard Cite