001443876 000__ 03110cam\a2200541Ia\4500 001443876 001__ 1443876 001443876 003__ OCoLC 001443876 005__ 20230310003606.0 001443876 006__ m\\\\\o\\d\\\\\\\\ 001443876 007__ cr\un\nnnunnun 001443876 008__ 220126s2022\\\\si\\\\\\ob\\\\000\0\eng\d 001443876 019__ $$a1293846157$$a1293895411$$a1295269242 001443876 020__ $$a9789811691669$$q(electronic bk.) 001443876 020__ $$a9811691665$$q(electronic bk.) 001443876 020__ $$z9811691657 001443876 020__ $$z9789811691652 001443876 0247_ $$a10.1007/978-981-16-9166-9$$2doi 001443876 035__ $$aSP(OCoLC)1293769144 001443876 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ 001443876 049__ $$aISEA 001443876 050_4 $$aQC612.H3 001443876 08204 $$a537.6/226$$223 001443876 1001_ $$aYonaga, Kouki. 001443876 24510 $$aMass term effect on fractional quantum hall states of Dirac particles /$$cKouki Yonaga. 001443876 260__ $$aSingapore :$$bSpringer,$$c2022. 001443876 300__ $$a1 online resource 001443876 4901_ $$aSpringer theses,$$x2190-5061 001443876 500__ $$a"Doctoral Thesis accepted by Tohoku University, Sendai, Japan." 001443876 504__ $$aIncludes bibliographical references. 001443876 5050_ $$aIntroduction -- Fundamental Theory of Quantum Hall Eect -- Theoretical Model and Method -- Mass Term Eects in Spinless Dirac Particle System -- Eects of Spin, Valley, and Mass Term on Fractional Quantum Hall States -- Mass and Valley Eects on Excitation in Quantum Hall States -- Conclusion. 001443876 506__ $$aAccess limited to authorized users. 001443876 520__ $$aThis book presents the high-precision analysis of ground states and low-energy excitations in fractional quantum Hall states formed by Dirac electrons, which have attracted a great deal of attention. In particular the author focuses on the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, which was recently implemented in experiments. The numerical approach employed in the book, which uses an exact numerical diagonalization of an effective model Hamiltonian on a Haldanes sphere based on pseudopotential representation of electron interaction, provides a better understanding of the recent experiments. The book reviews various aspects of quantum Hall effect: a brief history, recent experiments with graphene, and fundamental theories on integer and fractional Hall effects. It allows readers to quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene. 001443876 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 9, 2022). 001443876 650_0 $$aQuantum Hall effect. 001443876 650_0 $$aDirac equation. 001443876 650_0 $$aGraphene. 001443876 650_6 $$aEffet Hall quantique. 001443876 650_6 $$aÉquation de Dirac. 001443876 650_6 $$aGraphène. 001443876 655_0 $$aElectronic books. 001443876 77608 $$iPrint version: $$z9811691657$$z9789811691652$$w(OCoLC)1287126861 001443876 830_0 $$aSpringer theses,$$x2190-5061 001443876 852__ $$bebk 001443876 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-9166-9$$zOnline Access$$91397441.1 001443876 909CO $$ooai:library.usi.edu:1443876$$pGLOBAL_SET 001443876 980__ $$aBIB 001443876 980__ $$aEBOOK 001443876 982__ $$aEbook 001443876 983__ $$aOnline 001443876 994__ $$a92$$bISE