Início
Agenda 

 13 de setembro de 2017
16h30 Sala
18 (Cristalografia) 

Dimitrios Voliotis

IFSC


ShannonRényi
entropies in quantum aperiodic spin chains via block realspace
renormalization


Recently, another version of a realspace RG
approach proposed by FernandezPacheco [1], successfully located
the critical point and the critical exponents of the pure and
random Ising chain. The revisited method [2,3] renormalizes a
block of spins, confirming by much easer way than by conformal
field theory (CFT), the multifractal dimension and multifractal
spectrum for the quantum Ising chain [4]. We extended this
argument to aperiodic spin chains with specific substitution
rules by studying the ShannonRenyi entropies of the ground
state wave function. We extract the multifractal dimension and
spectrum, comparing them with the pure and random case [4]. Both
quantities found to vary with the coupling ratio but to be
independent of the wandering exponent of the sequence. Finally,
by a simple analogy we extended the studies into the excited
states.


[1 ] G. FernandezPacheco, Phys. Rev. D 19, 3173
(1979).

[2] J. Miyazaki and H. Nishimori , Phys. Rev. E 87,
032154 (2013).

[3] C. Monthus, J. Stat. Mech. P01023 (2015).

[4] C. Monthus, J. Stat. Mech. P04007 (2015).



