Higher Order Addition Laws on Abelian Varieties and the Fractional Quantum Hall Effect

نویسندگان

  • JUAN MATEOS GUILARTE
  • MATEOS GUILARTE
چکیده

Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional many-electron system under periodic conditions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-Abelian fractional quantum Hall states and chiral coset conformal field theories

We propose an effective Lagrangian for the low energy bulk theory of the Pfaffian states of the fractional quantum Hall effect in terms of non-Abelian Chern-Simons (CS) actions. Our approach exploits the connection between topological CS and chiral conformal field theories and can be applied to large class of non-Abelian FQH states. CONICET, Argentina CICPBA, Argentina

متن کامل

Non-Abelian Quantum Hall States and Fractional Statistics

The discovery of the fractional quantum Hall effect stimulated the investigation of anyons, particles with fractional statistics which are neither bosons nor fermions. This thesis focuses on the study of quantum Hall states which may support nonAbelian anyons. We first address the validity of assumptions used in the numerical study of such states, and then proceed with analyzing different exper...

متن کامل

Edge tunneling and transport in non-abelian fractional quantum Hall systems

Several aspects of tunneling at the edge of a fractional quantum Hall (FQH) state are studied. Most examples are given for the non-abelian filling fraction ν = 5 2 Moore-Read Pfaffian state. For tunneling between opposite edges of an abelian fractional quantum Hall state at a quantum point contact, the perturbative calculation of tunneling current, conductance, and current noise, as a function ...

متن کامل

Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states

We study the non-abelian statistics characterizing systems where counter-propagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity-coupling to superconductors and ferromagnets. The most transparent example is that of a fractional quantum spin Hall state, in which electrons of one spin direction occupy a fractional quantum Hall state of ν = 1/m, while elect...

متن کامل

Fractional quantum Hall effect in multicomponent systems THÈSE

We study a number of fractional quantum Hall systems, such as quantum Hall bilayers, wide quantum wells or graphene, where underlying multicomponent degrees of freedom lead to the novel physical phenomena. In the quantum Hall bilayer at the filling factor ν = 1 we study mixed composite boson-composite fermion trial wave functions in order to describe the disordering of the exciton superfluid as...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002