Electronic properties of 2D and 1D systems - Revision history

Daniele Varsano: /* Exercise 3: A small Carbon nanotube (CNT) */

2021-04-01T16:20:49Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:20, 1 April 2021
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	* Calculate the band structure		* Calculate the band structure
	* Calculate the density of states (Van Hove singularity)		* Calculate the density of states (Van Hove singularity)

			[[Solution_LAB3_CNT \| Hints]]

2021-04-01T16:14:13Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:14, 1 April 2021
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	File:cnt_chirality.jpg \| Carbon nanotube configurations with the chiral vector C and unit vectors a and b. From: R. Mishra et al. Textile Progress 46(2) (2014)		File:cnt_chirality.jpg \| Carbon nanotube configurations with the chiral vector C and unit vectors a and b. From: R. Mishra et al. Textile Progress 46(2) (2014)
	</gallery>		</gallery>
	~~Memo~~

	* ~~Picture of~~ the ~~rolling sheet~~		* Create the quantum espresso input file for the smaller CNT (3,3)
	* ~~Picture of~~ the ~~Dirac cone slice~~		* Relax the structure
	* ~~Link to~~ the ~~tube generator~~		* Calculate the band structure
			* Calculate the density of states (Van Hove singularity)

2021-04-01T16:11:42Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:11, 1 April 2021
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	Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.		Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.
	<gallery widths=300px heights=200px>		<gallery widths=300px heights=200px>
	File:Cnt_bs.png		File:Cnt_bs.png \| Sketch of Carbon nanotube band structure depending on the rolling direction
	File:cnt_chirality.jpg \| Carbon nanotube configurations with the chiral vector C and unit vectors a and b. From: R. Mishra et al. Textile Progress 46(2) (2014)		File:cnt_chirality.jpg \| Carbon nanotube configurations with the chiral vector C and unit vectors a and b. From: R. Mishra et al. Textile Progress 46(2) (2014)
	</gallery>		</gallery>

2021-04-01T16:10:11Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:10, 1 April 2021
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	<gallery widths=300px heights=200px>		<gallery widths=300px heights=200px>
	File:Cnt_bs.png		File:Cnt_bs.png
	File:cnt_chirality.jpg		File:cnt_chirality.jpg \| Carbon nanotube configurations with the chiral vector C and unit vectors a and b. From: R. Mishra et al. Textile Progress 46(2) (2014)
	</gallery>		</gallery>
	Memo		Memo

2021-04-01T16:09:01Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:09, 1 April 2021
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	Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.		Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.
	<gallery widths=300px heights=200px>		<gallery widths=300px heights=200px>
	File:Cnt_bs.png		File:Cnt_bs.png
	File:cnt_chirality.jpg		File:cnt_chirality.jpg
	</gallery>		</gallery>
	Memo		Memo

	~~[[File:Cnt chirality.jpg\|thumb]]~~
	* Picture of the rolling sheet		* Picture of the rolling sheet
	* Picture of the Dirac cone slice		* Picture of the Dirac cone slice
	* Link to the tube generator		* Link to the tube generator

2021-04-01T16:08:04Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:08, 1 April 2021
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	Memo		Memo

			[[File:Cnt chirality.jpg\|thumb]]
	* Picture of the rolling sheet		* Picture of the rolling sheet
	* Picture of the Dirac cone slice		* Picture of the Dirac cone slice
	* Link to the tube generator		* Link to the tube generator

2021-04-01T16:07:29Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:07, 1 April 2021
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	Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.		Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.
	<gallery widths=300px heights=200px>		<gallery widths=300px heights=200px>
	File:Cnt_bs.png]		File:Cnt_bs.png
	File:cnt_chirality.jpg\|		File:cnt_chirality.jpg
	</gallery>		</gallery>
	Memo		Memo

2021-04-01T16:07:14Z

← Older revision		Revision as of 16:07, 1 April 2021
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	<gallery widths=300px heights=200px>		<gallery widths=300px heights=200px>
	File:Graphen.jpg\| Graphene sheet: Picture by AlexanderAlUS]		File:Graphen.jpg\| Graphene sheet: Picture by AlexanderAlUS
	File:cnt.png\| Rolling graphene sheets: Carbon Nanotubes		File:cnt.png\| Rolling graphene sheets: Carbon Nanotubes
	</gallery>		</gallery>

2021-04-01T16:07:06Z

← Older revision		Revision as of 16:07, 1 April 2021
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	Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.		Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.
			<gallery widths=300px heights=200px>
	[[File:Cnt_bs.png\|~~border\|300px]]~~		File:Cnt_bs.png]
			File:cnt_chirality.jpg\|
			</gallery>
	Memo		Memo

2021-04-01T16:00:10Z

Exercise 3: A small Carbon nanotube (CNT)

← Older revision		Revision as of 16:00, 1 April 2021
Line 40:		Line 40:
	Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.		Here we want to study te electronic structure of a small carbon nanotube, obtained rolling up a graphene sheet. Interestingly the electronic structure will change drastically depending on how the rube is rolled. We can start from the graphene band structure considering the boundary condition along the circumference.

	[[File:Cnt_bs.png\|border]]		[[File:Cnt_bs.png\|border\|300px]]
	Memo		Memo