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Cellular Dynamical Mean-field Study of the One-dimensional Peierls Hubbard Model
전건상,고아라 한국물리학회 2010 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.56 No.3
We investigate the one-dimensional half-filled Peierls Hubbard model at zero temperature. In order to study the spectral properties of the model, we use the cellular dynamical mean-field theory employing the exact diagonalization technique as an impurity solver. The Peierls modulation makes the system a band insulator in the absence of the interaction. We calculate the density of states to examine the interplay between the Peierls modulation and the local Coulomb interaction. An increase in the Coulomb interaction is found to result in a monotonic increase of the spectral gap. The behaviors of the density of states in the Peierls Hubbard model are also discussed in comparison with those in the standard Hubbard model.
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Hybridization Effects of Normal Insulator on Two-Dimensional Topological Insulator
신지선,전건상 한국물리학회 2019 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.74 No.1
We consider a geometry where a quantum spin Hall insulator and a normal insulator are in contact with each other on the same plane. We show that our numerical results in nite-system approach agree with analytic results of an earlier work in a quantum spin Hall insulator. We discuss the eects of properties of normal insulators on the probability density of edge states at the interface. The edge-state width is computed by varying the interface hopping and the staggered lattice potential. We also attempt to explain the energy dispersions of edge states by constructing eective Hamiltonian and discuss its validity.
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Single-site and Cellular Dynamical Mean-field Theory of the Anderson-Hubbard Model
Ara Go,전건상 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.62 No.5
We study the Anderson-Hubbard model to examine the interplay between the disordered potential and the Hubbard interactions. We use the dynamical mean-field theory (DMFT) with an exact diagonalization as an impurity solver to effectively deal with the quantum fluctuations due to the local interactions. In order to characterize the paramagnetic metal-insulator transition in disordered systems, we compute the typical local density of states, as well as the arithmetically-averaged local density of states. Our approach is found to reproduce the characteristic features of the metalinsulator transition in infinite dimensions, such as the existence of the disorder-driven metallic phase for moderate values of disorder strength and interactions, as observed in earlier studies. In two dimensions, the system turns out to exhibit more insulating behavior when we increase the cluster size in the cellular DMFT. The metallic phase, which is induced from weak Mott insulators by the introduction of a disordered potential, is not observed in two dimensions.
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Estimate of the Phase Transition Line in the Infinite-dimensional Hubbard Model
Aaram J. Kim,최무영,전건상 한국물리학회 2014 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.64 No.2
We consider a Mott transition of the Hubbard model in infinite dimensions. The dynamical meanfieldtheory is employed in combination with a continuous-time quantum Monte Carlo (CTQMC)method for an accurate description at low temperatures. From the double occupancy and theenergy density, which are directly measured from the CTQMC method, we construct the phasediagram. We pay particular attention to the construction of the first-order phase transition line(PTL) in the coexistence region of metallic and insulating phases. The resulting PTL is foundto exhibit reasonable agreement with earlier finite-temperature results. We also show by a systematicinclusion of low-temperature data that the PTL, which is achieved independently of theprevious zero-temperature results, approaches monotonically the transition point from earlier zerotemperaturestudies.
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Fractionalized Edge Spins and Boundary Conditions in Frustrated Ferromagnetic Quantum Spin Chains
Hyeong Jun Lee,최무영,전건상 한국물리학회 2019 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.75 No.11
We examine frustrated ferromagnetic S = 1 spin chains at zero temperature by using the densitymatrix renormalization group method. In open boundary conditions, the S = 1 quantum spin chains are known to produce fractionalized free spins on each edge, which causes difficulty in the numerical calculation of the thermodynamic ground states. To overcome this, we propose modified open boundary conditions to suppress the formation of fractionalized edge spins. The comparison of the physical properties of the ground states, which are obtained from the modified and the standard open boundary conditions, reveals that the modified open boundary conditions are more effective in improving the convergence behavior and reducing the computational costs.
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