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Quasiperiodic Quantum Ising Transitions in 1D
P J D Crowley1, A Chandran1, C R Laumann1
1Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
Physical Review Letters
|May 15, 2018
Summary
Quasiperiodic modulation in quantum Ising chains creates new localized phases and quantum criticality. This differs from random disorder, with unique critical exponents observed.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Disordered Systems
Background:
- Quasiperiodic potentials can drive unique phase transitions in quantum systems.
- Symmetry breaking in one-dimensional quantum models is a key area of study.
Purpose of the Study:
- To investigate the impact of quasiperiodic modulation on symmetry breaking in the quantum Ising chain.
- To characterize the resulting phases and quantum criticality.
Main Methods:
- Analysis of the quasiperiodically modulated quantum Ising chain.
- Identification of localized and gapless phases.
- Calculation of critical exponents.
Main Results:
- Weak modulation is irrelevant, but strong modulation induces new ferromagnetic and paramagnetic phases.
- These phases are fully localized and gapless.
- Quantum criticality is observed with exponents intermediate to clean and random models (ν=1⁺, z≈1.9).
Conclusions:
- Quasiperiodic modulation fundamentally alters the quantum Ising transition.
- Logarithmic wandering of couplings destabilizes the clean transition.
- A wandering coefficient (w) is conjectured to control the universality class of the quasiperiodic transition.
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