Landau level quantization on the sphere

Martin Greiter

Type: Article

Publication Date: 2011-03-18

Citations: 49

DOI: https://doi.org/10.1103/physrevb.83.115129

Abstract

It is well established that the Hilbert space for charged particles in a plane subject to a uniform magnetic field can be described by two mutually commuting ladder algebras. We propose a similar formalism for Landau level quantization on a sphere involving two mutually commuting SU(2) algebras.

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Physical Review B - View

Similar Works

Action	Title	Year	Authors
+	Formalism for Landau Level Quantization on the Sphere	2011	Martin Greiter
+ PDF Chat	Landau level quantization of Dirac electrons on the sphere	2018	Martin Greiter Ronny Thomale
+ PDF Chat	Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole	2021	Rodrigo Andrade e Silva Ted Jacobson
+ PDF Chat	Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields	2020	Zeinab Algadhi Omar Mustafa
+ PDF Chat	Infinite degeneracy of Landau levels from the Euclidean symmetry with central extension revisited	2021	Rajan Murgan
+ PDF Chat	Algebra of Observables and Charge Superselection Sectors for QED on the Lattice	1997	Jerzy Kijowski Gerd Rudolph Artur Thielmann
+ PDF Chat	Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra	2022	G.V. Tushavin E.V. Zaitseva Alexander Trifanov
+ PDF Chat	Landau analog levels for dipoles in non-commutative space and phase space	2008	Leandro Rodrigo Ribeiro E. Passos C. Furtado J. R. Nascimento
+	Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)	2022	Valerii Sopin
+ PDF Chat	Landau quantization of neutral particles in an external field	2006	C. Furtado J. R. Nascimento Leandro Rodrigo Ribeiro
+ PDF Chat	From SU(2) Gauge Theory to Qubits on the Fuzzy Sphere	2013	Paola Zizzi Eliano Pessa
+	Composition operators between p-Bloch space and q-Bloch space in the unit ball	2003	Ze‐Hua Zhou
+	Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields	2005	Mikhail Karasev E. M. Novikova
+ PDF Chat	Quantum Hall effect on odd spheres	2017	Umit H. Coskun S. Kürkçüoǧlu Goksu Can Toga
+	Unital quantum operations on the Bloch ball and Bloch region (7 pages)	2004	Paul Bourdon H. T. Williams
+ PDF Chat	Relativistic Landau models and generation of fuzzy spheres	2016	Kazuki Hasebe
+	Algebras based on Yang-Baxter operators	1993	Władysław Marcinek
+	Dirac operators on the quantum group SU(2) and the quantum sphere	2000	P. N. Bibikov P. P. Kulish
+	Quantum Algebra	2011	V. S. Varadarajan
+	Composition operators between p -Bloch space and q -Bloch space in the unit ball*	2003	Ze‐Hua Zhou Hong-Gang Zeng

Works That Cite This (40)

Action	Title	Year	Authors
+ PDF Chat	Virial theorem and hypervirial theorem in a spherical geometry	2011	Yan Li Fulin Zhang Jing-Ling Chen
+	Quantum Monte Carlo Simulation of the 3D Ising Transition on the Fuzzy Sphere	2023	Johannes S. Hofmann Florian Goth Wei Zhu Yin-Chen He Emilie Huffman
+	Y(su(2)) Symmetry of Landau Levels on the Sphere	2023	En-Xin Sun Liu-Biao Ma Zi-Gang Yuan Jian Jing
+ PDF Chat	Magnetic Bloch theorem and reentrant flat bands in twisted bilayer graphene at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>2</mml:mn><mml:mi>π</mml:mi></mml:mrow></mml:math> flux	2022	Jonah Herzog-Arbeitman Aaron Chew B. Andrei Bernevig
+ PDF Chat	Probing non-Hermitian phase transitions in curved space via quench dynamics	2021	Ygor Pará Giandomenico Palumbo Tommaso Macrì
+ PDF Chat	Projective symmetry of partons in the Kitaev honeycomb model	2015	Paula Mellado Olga Petrova Oleg Tchernyshyov
+ PDF Chat	Particle-hole mirror symmetries around the half-filled shell: Quantum numbers and algebraic structure of composite fermions	2018	W. C. Haxton Daniel J. Haxton Byungmin Kang
+	Construction of a series of new <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:math> fractional quantum Hall wave functions by conformal field theory	2020	Li Chen Kun Yang
+ PDF Chat	Piecewise-terminated spherical topological insulator as a virtual breadboard for Majorana circuitry	2018	Adam C. Durst Sriram Ganeshan
+ PDF Chat	Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization	2023	W. Zhu Chao Han Emilie Huffman Johannes S. Hofmann Yin-Chen He

Works Cited by This (9)

Action	Title	Year	Authors
+	Nonabelions in the fractional quantum hall effect	1991	Gregory Moore Nicholas Read
+ PDF Chat	Interferometric signature of non-Abelian anyons	2009	Waheb Bishara Parsa Bonderson Chetan Nayak Kirill Shtengel J. K. Slingerland
+ PDF Chat	Pseudopotentials for multiparticle interactions in the quantum Hall regime	2007	Steven H. Simon E. H. Rezayi Nigel R. Cooper
+ PDF Chat	Entanglement Gap and a New Principle of Adiabatic Continuity	2010	Ronny Thomale A. Sterdyniak Nicolas Regnault B. Andrei Bernevig
+ PDF Chat	Skyrmions in the Moore-Read State at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>5</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>	2010	Arkadiusz Wójs Gunnar Möller Steven H. Simon Nigel R. Cooper
+ PDF Chat	Fractional Quantum Hall State at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>5</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>and the Moore-Read Pfaffian	2010	M. Storni R. Morf S. Das Sarma
+ PDF Chat	Landau-Level Mixing and the Emergence of Pfaffian Excitations for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>5</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Fractional Quantum Hall Effect	2010	Arkadiusz Wójs Csaba Tőke J. K. Jain
+ PDF Chat	Paired composite-fermion wave functions	2008	Gunnar Möller Steven H. Simon
+ PDF Chat	Numerical Analysis of Quasiholes of the Moore-Read Wave Function	2009	M. Baraban Georgios Zikos N. E. Bonesteel Steven H. Simon