Phase Transition on Mo(100) and W(100) Surfaces

Felter, T. E.; Barker, R. A.; Estrup, P. J.

doi:10.1103/physrevlett.38.1138

Cited by 441 publications

(82 citation statements)

References 14 publications

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“…The main focus of interest was placed at whether or not the transition is understood as a surface example of the Peierls-type CDW transition [32][33][34]. While the studies of these surfaces have been reviewed in several articles [14,35,36], let us briefly describe the characteristics of the phase transition as it is quite instructive within the scope of this article.…”

Section: Strong-coupling-cdw Picture For the Phase Transitions On W(0mentioning

confidence: 99%

“…The phase transitions on clean W(001) and Mo(001) surfaces were intensively studied for more than two decades since the first observation in 1970's [31][32][33]. The main focus of interest was placed at whether or not the transition is understood as a surface example of the Peierls-type CDW transition [32][33][34].…”

Section: Strong-coupling-cdw Picture For the Phase Transitions On W(0mentioning

confidence: 99%

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Surface Peierls transition on Cu(001) covered with heavier p-block metals

Aruga

2006

Surface Science Reports

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The Cu(001) surface covered with submonolayer coverages of In and Sn undergoes phase transitions at around 350-400 K. The transition is associated with the surface electronic structure change between low-temperature gapped and high-temperature ungapped ones. The energy gap positions in the k space coincide with the surface Brillouine zone boundaries of the low-temperature phases. These observations imply that the phase transitions are classified into the Peierls-type charge density wave (CDW) phase transition. The CDW ground states are characterized by large overall CDW gaps and long CDW correlation lengths. Structural studies show that the transitions are associated with order-disorder processes. This suggests that these are in strong-coupling regime. However, the associated gapped-ungapped change suggests that the electronic terms play significant role, in contradiction with the strong-coupling scenario. Based on the results of recent works on precise temperature dependence of the CDW gap and critical X-ray scattering, the origin of this dual nature and the detailed mechanism of the phase transition is discussed. It is suggested that the electronic entropy of the CDW ground state is not governed by the overall energy gap but by the gap between the upper band minimum and the Fermi level of the whole system. The dual nature of the surface Peierls transition on Cu(001) originates, on one hand, from the existence at metal surfaces of the two characteristic energy gaps: the overall gap, which determines the CDW stabilization energy, and the upper gap, which governs the electronic entropy. On the other hand, the CDW correlation length is suggested to play another significant role in determining the nature of the Peierls transition. The classification of the Peierls transisions according to the CDW correlation length and the gap size is discussed. It is suggested that the surface Peierls transition on metal-covered Cu(001) covered with heavier p-block metallic elements are qualitatively different from both the weak-coupling CDW transition, with long CDW correlation length and small gaps, and the strong-coupling CDW transitions, with short correlation lengths and large gaps, and should be classified into the third class, which is characterized by long coherence and strong coupling.

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Section: Strong-coupling-cdw Picture For the Phase Transitions On W(0mentioning

confidence: 99%

Section: Strong-coupling-cdw Picture For the Phase Transitions On W(0mentioning

confidence: 99%

Surface Peierls transition on Cu(001) covered with heavier p-block metals

Aruga

2006

Surface Science Reports

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“…An electronically driven surface reconstruction involves a surface state or resonance crossing the Fermi level [1][2][3][4][5][6][7][8][26][27][28][29][30][31][32][33][34][35][36] such as the one(s) just detailed for Mo(112) above. As noted later, for a surface reconstruction, the only bands of importance are those with surface weight that are either very close to the Fermi level or cross the Fermi level [2,4,5,8].…”

Section: Temperature Dependencementioning

confidence: 99%

“…Studies of the (100) surface of both molybdenum and tungsten have been prevalent [3][4][5][6][7][8], we hope to provide a more complete understanding of surface reconstructions by studying the (112) surface of molybdenum. There have been numerous studies of adsorbates on Mo(112) [9][10][11][12] and on Mo(111) [13].…”

Section: Introductionmentioning

confidence: 99%

“…Such reconstructions of the (100) surface of both molybdenum and tungsten have been studied extensively [1,3], providing classic examples of the various reconstruction driving mechanisms. A change in the surface lattice that accompanies a change in the surface band structure, leading to reduction of the density of states at the Fermi energy, particularly for a surface state, can drive a surface reconstruction.…”

Section: Introductionmentioning

confidence: 99%

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The interplay between the surface band structure and possible surface reconstructions of Mo(112)

et al. 2000

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Relaxation and Reconstruction of Solid Surfaces

Müller

1986

Ber Bunsenges Phys Chem

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DiscussionMeeting of the Deutsche Bunsengesellschaft fir Physikalische Chemie, Erlangeo, September 25 -2 , ~8 f :The study of phase transitions in three-dimensional matter has a long-standing tradition and became of renewed during recent years, mainly due to theoretical Progress. Similar phenomena are observed at solid surfaces, for which systems the reduced dimensionality offers easier DavispJoonan (1983) [30] Adams et al. (1983) [29] Davis/Noonan (1981) [36] Davis/Zehner (1980) [3TJ ~ ~ The (-) sign indicates a layer distance contraction, (+) indicates an expansion. Phase transitions and phase diagrams of two-dimensional systems are quite distinct from three-dimensional behaviour. Topological defects such as steps, domains and domain-wall dislocations play a key role. This paper discusses the nature and scale of the atomic fluctuations at phase boundaries for order-to-disorder structural phase transformations on solid surfaces. The question of the rich variety of con-Ber. Bunsenges. Phys. Chem. 90, 190-197 (1986) -0 VCH Verlagsgesellschaft mbH, D-6940 Weinheim, 1986.

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Phase Transition on Mo(100) and W(100) Surfaces

Cited by 441 publications

References 14 publications

Surface Peierls transition on Cu(001) covered with heavier p-block metals

Surface Peierls transition on Cu(001) covered with heavier p-block metals

The interplay between the surface band structure and possible surface reconstructions of Mo(112)

Relaxation and Reconstruction of Solid Surfaces

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