New universality class in spin-one-half Fibonacci Heisenberg chains.

نویسنده

  • Kazuo Hida
چکیده

Low energy properties of the S=1/2 antiferromagnetic Heisenberg chains with Fibonacci exchange modulation are studied using the real space renormalization group method for strong exchange modulation. Using the analytical solution of the recursion equation, the true asymptotic behavoir is revealed, which was veiled by the finite size effect in the previous numerical works. It is found that the ground state of this model belongs to a new universality class with a logarithmically divergent dynamical exponent which is neither like Fibonacci XY chains nor like XY chains with relevant aperiodicity.

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

Phase diagrams and universality classes of random antiferromagnetic spin ladders

The random antiferromagnetic two-leg and zigzag spin-1 /2 ladders are investigated using the real space renormalization group scheme and their complete phase diagrams are determined. We demonstrate that the first system belongs to the same universality class of the dimerized random spin-1 /2 chain. The zigzag ladder, on the other hand, is in a random singlet phase at weak frustration and disord...

متن کامل

Entanglement entropy of the random s=1 Heisenberg chain

Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log2 L with a universal coefficient. Since for pure quantum critical spin chains this coefficient is fixed by the central charge of the associated conformal field theory, the universal coefficient in the random case can be understood as an effectiv...

متن کامل

Entanglement entropy of random quantum critical points in one dimension.

For quantum critical spin chains without disorder, it is known that the entanglement of a segment of N>>1 spins with the remainder is logarithmic in N with a prefactor fixed by the central charge of the associated conformal field theory. We show that for a class of strongly random quantum spin chains, the same logarithmic scaling holds for mean entanglement at criticality and defines a critical...

متن کامل

Critical phenomena of canonical spin glass systems with large Dzyaloshinsky–Moriya anisotropy

We have studied critical phenomena of spin glass transition for larger Dzyaloshinsky-Moriya anisotropy Heisenberg spin glass system, PtMn. The analysis of nonlinear magnetizations in the framework of the existence of a phase transition at Tg yields the critical exponents  = 2.5 ± 0.3,  = 1.5 ± 0.3 and  = 1 ± 0.3. These results suggest that the universality class of spin glass transition on P...

متن کامل

Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons.

We calculate the exact dynamical magnetic structure factor S(Q,E) in the ground state of a one-dimensional S = 1/2 antiferromagnet with gapless free S = 1/2 spinon excitations, the Haldane-Shastry model with inversesquare exchange, which is in the same low-energy universality class as Bethe’s nearest-neighbor exchange model. Only two-spinon excited states contribute, and S(Q,E) is found to be a...

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:
  • Physical review letters

دوره 93 3  شماره 

صفحات  -

تاریخ انتشار 2004