Physics:Quantum Fermi surfaces - Revision history

WikiHarold: Use Quantum See also index module

2026-05-23T22:20:06Z

Use Quantum See also index module

← Older revision		Revision as of 22:20, 23 May 2026
Line 79:		Line 79:

	== See also ==		== See also ==
	* [[Physics:Quantum Fermi–Dirac statistics]]
	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

Maintenance script: Add link to Fermi-Dirac statistics

2026-05-23T10:03:42Z

Add link to Fermi-Dirac statistics

← Older revision		Revision as of 10:03, 23 May 2026
Line 79:		Line 79:

	== See also ==		== See also ==
			* [[Physics:Quantum Fermi–Dirac statistics]]
	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:53Z

Normalize quantum page header order

← Older revision		Revision as of 11:33, 22 May 2026
Line 2:		Line 2:
	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
	{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}		{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:12:11Z

Clean Book label remnants and backlink spacing

← Older revision		Revision as of 11:12, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
	{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}		{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}

Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:04:24Z

Remove hidden BOM characters and direct Book label after Short description

← Older revision		Revision as of 11:04, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Abstract boundary in condensed matter physics}}~~Book I~~		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}

Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:49:25Z

Clean Short description prefix and add Book I label

← Older revision		Revision as of 10:49, 22 May 2026
Line 1:		Line 1:
	~~~~{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}Book I

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T22:00:18Z

Apply continuous Quantum previous-next navigation

← Older revision		Revision as of 22:00, 20 May 2026
Line 1:		Line 1:
	~~~~{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
	{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum ~~Semiconductor physics~~\|next label=~~Semiconductor physics~~}}		{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:26:44Z

Apply Quantum previous-next navigation

← Older revision		Revision as of 12:26, 20 May 2026
Line 1:		Line 1:
	~~~~{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
			{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Semiconductor physics\|next label=Semiconductor physics}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Improve Book I intro quality

2026-05-20T09:05:31Z

Improve Book I intro quality

← Older revision		Revision as of 09:05, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
Line 10:		Line 10:

	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''Fermi surfaces''' ~~is a Book I topic~~ in ~~the Quantum Collection. In~~ condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied electron states from unoccupied electron states at absolute zero temperature. Its shape is determined by the periodicity and symmetry of the crystal lattice and by the occupation of electronic energy bands. The existence of a Fermi surface follows directly from the Pauli exclusion principle, which allows only one electron per quantum state. The study of Fermi surfaces is called fermiology. In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied electron states from unoccupied electron states at absolute zero temperature. Its shape is determined by the periodicity and symmetry of the crystal lattice and by the occupation of electronic energy bands.		'''Fermi surfaces''' in condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied electron states from unoccupied electron states at absolute zero temperature. Its shape is determined by the periodicity and symmetry of the crystal lattice and by the occupation of electronic energy bands. The existence of a Fermi surface follows directly from the Pauli exclusion principle, which allows only one electron per quantum state. The study of Fermi surfaces is called fermiology. In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied electron states from unoccupied electron states at absolute zero temperature. Its shape is determined by the periodicity and symmetry of the crystal lattice and by the occupation of electronic energy bands. For an ideal Fermi gas, the occupation of quantum states is governed by the Fermi–Dirac distribution:

	</div>		</div>

Maintenance script: Clean missing Book I links and template output

2026-05-20T08:47:49Z

Clean missing Book I links and template output

← Older revision		Revision as of 08:47, 20 May 2026
Line 1:		Line 1:
	{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
Line 44:		Line 44:
	</div>		</div>

	In real materials, Fermi surfaces can be highly complex. For example, [[graphite]] exhibits both electron and hole pockets due to multiple bands crossing the Fermi level. In many metals, the Fermi surface extends beyond the first Brillouin zone and is folded back into it using the reduced-zone scheme.		In real materials, Fermi surfaces can be highly complex. For example, graphite exhibits both electron and hole pockets due to multiple bands crossing the Fermi level. In many metals, the Fermi surface extends beyond the first Brillouin zone and is folded back into it using the reduced-zone scheme.

	Materials in which the Fermi level lies inside a [[band gap]] (such as semiconductors and insulators) do not have a Fermi surface.		Materials in which the Fermi level lies inside a band gap (such as semiconductors and insulators) do not have a Fermi surface.

	== Physical significance ==		== Physical significance ==
	The Fermi surface plays a central role in determining:		The Fermi surface plays a central role in determining:
	* [[electrical conductivity]]		* electrical conductivity
	* [[thermal conductivity]]		* thermal conductivity
	* magnetic properties		* magnetic properties
	* stability of low-temperature phases		* stability of low-temperature phases

← Older revision		Revision as of 11:12, 22 May 2026
Line 1:		Line 1:
	{{Short description\|Abstract boundary in condensed matter physics}}		{{Short description\|Abstract boundary in condensed matter physics}}

	{{Quantum book backlink\|Condensed matter and solid-state physics}}		{{Quantum book backlink\|Condensed matter and solid-state physics}}
	{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}		{{Quantum article nav\|previous=Physics:Quantum Band structure\|previous label=Band structure\|next=Physics:Quantum Landau levels\|next label=Landau levels}}