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Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
We analyze the finite-size scaling exponents in the Lipkin-Meshkov-Glick model by means of the Holstein-Primakoff representation of the spin operators and the continuous unitary transformations…
Robustness of a perturbed topological phase.
- S. Dusuel, M. Kamfor, R. Orús, K. Schmidt, J. Vidal
- Physics, MathematicsPhysical review letters
- 8 December 2010
We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion approaches. We find…
Finite-size scaling exponents of the Lipkin-Meshkov-Glick model.
This work compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions of the critical Lipkin-Meshkov-Glick model using the Holstein-Primakoff boson representation.
Low-energy effective theory of the toric code model in a parallel magnetic field
We determine analytically the phase diagram of the toric code model in a parallel magnetic field which displays three distinct regions. Our study relies on two high-order perturbative expansions in…
Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model.
Analytical proofs are provided that the single-copy entanglement and the global geometric Entanglement of the ground state close to and at criticality behave as theEntanglement entropy.
Self-duality and bound states of the toric code model in a transverse field
We investigate the effect of a transverse magnetic field on the toric code model. We show that this problem can be mapped onto the Xu-Moore model and thus onto the quantum compass model which are…
Entanglement entropy in collective models
We discuss the behaviour of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between…
Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of…
Mean-field ansatz for topological phases with string tension
We propose a simple mean-field ansatz to study phase transitions from a topological phase to a trivial phase. We probe the efficiency of this approach by considering the string-net model in the…
Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
We analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit…