Fermi level | EPFL Graph Search

The Fermi level of a solid-state body is the thermodynamic work required to add one electron to the body. It is a thermodynamic quantity usually denoted by µ or EF for brevity. The Fermi level does not include the work required to remove the electron from wherever it came from. A precise understanding of the Fermi level—how it relates to electronic band structure in determining electronic properties; how it relates to the voltage and flow of charge in an electronic circuit—is essential to an understanding of solid-state physics. In band structure theory, used in solid state physics to analyze the energy levels in a solid, the Fermi level can be considered to be a hypothetical energy level of an electron, such that at thermodynamic equilibrium this energy level would have a 50% probability of being occupied at any given time. The position of the Fermi level in relation to the band energy levels is a crucial factor in determining electrical properties. The Fermi level does not necessa

Kinks in the angle resolved photoemission and inelastic x-ray spectra of high temperature superconductors

Jeff Graf

Though the high superconducting transition temperature (Tc) is the most interesting technological aspect of high temperature superconductors, the complex way in which the spin, lattice and electronic degrees of freedom interplay, makes them of the highest scientific interest. This is illustrated by their rich phase diagram characterized by a variety of exotic groundstate including; Mott insulating, pseudogap and high temperature superconductivity. One of the most serious barriers that has prevented our understanding of the mechanism of high temperature superconductors thus far is the lack of information on how low energy Landau quasiparticles result from an organization of real particles. This organization, often colloquially referred to as "dressing", is a fundamental general concept in physics that explains a variety of physical phenomena, such as exotic particle formations and phase transitions. The role of the lattice in this dressing is particularly controversial. Phonons are quanta of lattice vibration energy, and play a crucial role in conventional superconductivity. They provide an attractive interaction allowing the electrons to condensate in superconducting Cooper pairs. However, high temperature superconductivity in the cuprates in achieved through hole doping in an antiferromagnetic Mott insulator. In this case, the antiferromagnetic background, the strong coulomb repulsion and the anisotropic superconducting gap all suggest a marginal role of the phonons. In order to assess experimentally the exact role of the phonon, angle resolved photoemission spectroscopy (ARPES) is the weapon of choice given its unique ability to probe the electronic structure of solids in an energy- and momentum-resolved manner. In this thesis, I will use ARPES to characterize the various form of dressing of the quasiparticles in the high temperature superconductor from the Fermi level all the way to the valence band complex. I'll show that when combined with isotope substitution and inelastic x-rays scattering, the strong electron-phonon interaction can be probed in vivid details. This thesis presents three fundamental results. 1) Using the isotope effect, the important and unusual role of the phonon is demonstrated, as well as the strong interplay between the magnetic and phonic degrees of freedom. 2) Using inelastic scattering, the intriguing interplay between the Fermi surface and the bond stretching phonon is exposed. And 3) By exploring the ARPES data up to high energy, two new energy scales at high binding energy as well as the spectral waterfalls phenomenon are revealed. When all these new elements are considered together, they clearly show the need to consider simultaneously the spin, lattice, Fermi surface topology and electronic degrees of freedom. The spectacular progress in ARPES techniques over the past two decades was critical for these results, and I will present in this thesis our current effort in pushing the techniques even further. In particular I'll present my efforts in building a laser based ARPES setup with a hemispherical analyzer and a spin resolved time of flight analyzer.

EPFL2008

Electronic and magnetic interactions in single molecular and atomic contacts

Verena Katharina Schendel

This thesis encompasses an investigation of organic molecules on metallic substrates as well as a study of electronic and magnetic effects in atomic-sized palladium contacts. For this, a scanning tunneling microscope, operating at 6 K and ultra-high vacuum is used. The clean environment allows characterization of single molecules and atoms under well-defined conditions. Moreover, by examining at low-temperatures it is possible to study electronic and magnetic effects spectroscopically, which would otherwise be thermally obscured. The first part of this thesis focuses on studying organic molecules absorbed on metallic substrates. The molecules under investigation are thiophene derivatives of the archetypical organic semiconductor pentacene. The thiophene derivatives, tetracenothiophene (TCT) and anthradithiophene (ADT), contain either one or two thiophene groups at the terminal benzene rings. The dependence of the deposition temperature as well as the impact of different metallic substrates on their adsorption behavior is studied. When depositing the molecules on a Au substrate at room temperature, the molecules stay fully intact. In contrast, when deposited onto a Cu substrate, a breaking of the thiophene entity is observed. The breaking can be prevented by cooling the substrate to 200 K during deposition. Conductance measurements on the TCT molecules with an intact and broken thiophene entity reveal differences in their transport characteristics. The intact ones exhibit lower conductances than the broken ones. This can essentially be attributed to the fact that the latter ones bind covalently to the substrate, which facilitates transport. ADT deposited on Cu(111) can be reversibly and repeatedly interconverted between two distinct adsorption congurations associated with different conductances, and thus has been investigated as a molecular switch. The switching mechanism is related to a change between two different bonding configurations of the molecule to the substrate. The non-switched state ("off") can be ascribed to a strongly bound state and the switched state ("on") to a weaker bound configuration. The switching process is not only restricted to the location beneath the tip but also can be initiated within an extended area of about 100 nm in radius. This long-ranged addressing is enabled by means of surface state carriers of the Cu(111) surface. The non-local switching process is fully reversible, isomer selective and efficient over radial distances of about 100 nm. The second part of this work examines atomic-sized palladium (Pd) contacts. Pd exhibits outstanding properties owing to its high density of states (DOS) at the Fermi level. This renders Pd a "nearly ferromagnetic" material. Upon size confinement the DOS can be pushed to higher values and Pd can develop a net magnetization. Transport measurements were carried out for two distinct contact geometries; a tip-adatom and and a tip-surface contact geometry. Whereas for the tip-adatom contacts no magnetic state can be detected, measurements conducted for the tip-surface geometry might indicate the presence of a magnetic moment. The differences are attributed to the adsorption configuration of the single bridging atom in the junction. Spectra taken in point-contact with an adatom reveal a distinct inverted V-shaped feature. Presently we attribute this feature to paramagnons.

EPFL2015

From hidden order to antiferromagnetism: Electronic structure changes in Fe-doped URu2Si2

Ji Dai, Emmanouil Frantzeskakis, Kevin Huang

In matter, any spontaneous symmetry breaking induces a phase transition characterized by an order parameter, such as the magnetization vector in ferromagnets, or a macroscopic many electron wave function in superconductors. Phase transitions with unknown order parameter are rare but extremely appealing, as they may lead to novel physics. An emblematic and still unsolved example is the transition of the heavy fermion compound URu2Si2 (URS) into the so-called hidden-order (HO) phase when the temperature drops below T-0 = 17.5 K. Here, we show that the interaction between the heavy fermion and the conduction band states near the Fermi level has a key role in the emergence of the HO phase. Using angle-resolved photoemission spectroscopy, we find that while the Fermi surfaces of the HO and of a neighboring antiferromagnetic (AFM) phase of well-defined order parameter have the same topography, they differ in the size of some, but not all, of their electron pockets. Such a nonrigid change of the electronic structure indicates that a change in the interaction strength between states near the Fermi level is a crucial ingredient for the HO to AFM phase transition.

NATL ACAD SCIENCES2021