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Fermi Level

Fermi Level

The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...

Metallic Solids

Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....

Bonding in Metals

Bonding in Metals

Metallic bonds are formed between two metal atoms. A simplified model to describe metallic bonding has been developed by Paul Drüde called the “Electron Sea Model”.

Alkali Metals

Alkali Metals

Group 1 elements are soft and shiny metallic solids. They are malleable, ductile, and good conductors of heat and electricity. The melting points of the alkali metals are unusually low for metals and decrease going down the group, while the density increases going down the group with the exception of potassium (Table 1).
Table 1: Properties of the alkali metals

Metal-Ligand Bonds

Metal-Ligand Bonds

The hemoglobin in the blood, the chlorophyll in green plants, vitamin B-12, and the catalyst used in the manufacture of polyethylene all contain coordination compounds. Ions of the metals, especially the transition metals, are likely to form complexes.
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Fermi Level Dynamics

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
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Related Experiment Video

Updated: Feb 1, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Bad metallic transport in a cold atom Fermi-Hubbard system.

Peter T Brown¹, Debayan Mitra¹, Elmer Guardado-Sanchez¹

¹Department of Physics, Princeton University, Princeton, NJ 08544, USA.

Science (New York, N.Y.)

|December 8, 2018

Summary

Researchers studied quantum transport in ultracold lithium-6 atoms to understand strongly interacting systems. They found resistivity with linear temperature dependence, indicating "bad metal" behavior.

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Area of Science:

Quantum physics
Condensed matter physics
Ultracold atomic gases

Background:

Strong interactions in many-body quantum systems pose challenges for interpreting charge transport.
Ultracold lithium-6 atoms in optical lattices provide a clean system to study Fermi-Hubbard model physics.

Purpose of the Study:

Investigate charge transport in a clean, strongly interacting quantum system.
Determine the resistivity and its temperature dependence.
Identify signatures of "bad metal" behavior.

Main Methods:

Utilized ultracold lithium-6 atoms in a 2D optical lattice.
Measured the diffusion constant via density modulation relaxation.
Modeled decay hydrodynamically.
Applied the Nernst-Einstein relation to find resistivity.

Main Results:

Determined the diffusion constant and converted it to resistivity.
Observed a linear temperature dependence of resistivity.
Found no evidence of resistivity saturation.

Conclusions:

The observed resistivity signatures are characteristic of a "bad metal".
The developed techniques can be applied to study other transport properties like optical conductivity and thermopower.