# Guangyu Yi's research while affiliated with Northeastern University and other places

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## Publications (20)

Physical education in colleges plays an increasingly important role in cultivating high-quality innovative talent. The main factors that affect college students’ approaches to learning physics remain unknown. This study examined the relationships among college engineering students’ epistemic views of physics, conceptions of learning physics, and ap...

We investigate the persistent currents in one coupled quantum-ring structure in which each ring is formed by the couplings between one of the Majorana bound states and the end dots of a quantum dot chain. It is found that even in the case of Majorana zero mode, the persistent current in one ring can be efficiently manipulated by tuning the magnetic...

We investigate the persistent current in one mesoscopic ring formed by the couplings between the end dots of a quantum dot chain and one Majorana bound states (MBS). It is found that the persistent-current properties are dependent on the dot-number parity of the chain. When the dot number is odd, the persistent current emerges with its oscillation...

We investigate the Josephson current in a Fano-Josephson junction formed by
the direct coupling between two topological superconducting wires and their
indirect coupling via a quantum dot. It is found that when two Majorana zero
modes respectively appear in the wires, the Fano interference causes abundant
Josephson phase transition processes. What...

The Andreev reflection in a T-shaped double-quantum-dot structure induced by Majorana bound states is theoretically investigated. It is found that due to the Fano effect, the Andreev conductance spectrum presents a well-defined insulating band in the low-bias region. By discussing the influences of quantum dot levels, interdot coupling, and the cou...

Electron transport through the T-shaped quantum-dot (QD) structure is
theoretically investigated, by considering a Majorana zero mode coupled to the
terminal QD. It is found that in the double-QD case, the presence of the
Majorana zero mode can efficiently dissolve the antiresonance point in the
conductance spectrum and induce a conductance peak to...

We investigate the influences of the boundary conditions on the ground state properties of a dimerized S=1 Ising chain with single-ion anisotropy, which are solved exactly by means of a mapping to the spin-1/2 Ising chain with the alternating transverse fields and the Jordan–Wigner transformation. We obtain the exact results of the minimal energy g...

By means of the exact diagonalization approach, the Josephson current in a T-shaped double quantum dot structure is theoretically investigated. The ground state is obtained within zero bandwidth approximation in which the superconductors are replaced by effective local pairing potentials. It is found that Josephson current can flow through this str...

The Josephson effect in a superconductor/triple-quantum-dot
ring/superconductor structure is theoretically investigated. We find
that in this structure, interdot spin correlation can be driven, which
contributes to the occurrence of new 0 and π phases of the Josephson
current. Moreover, in the 0-π phase-transition process, an
intermediate bistable...

By means of the exact diagonalization approach, the Josephson and persistent currents in a superconductor/quantum-dot ring/superconductor (S/QDR/S) structure are theoretically investigated. The ground state is obtained within zero bandwidth approximation in which the superconductors are replaced by effective local pairing potentials. It is found th...

The alternating-bond mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies are solved exactly by means of a mapping of the spin-1/2 transverse Ising chain and the Jordan–Wigner transformation. The ground state quantities are strongly dependent on the model Hamiltonian parameters J1, J2, Dx and Dz. We ob...

The mixed spin-1/2 and spin-1 Ising chain with both longitudinal and transverse single-ion anisotropies is solved exactly by means of a mapping to the spin-1/2 Ising chains with alternating transverse fields and the Jordan–Wigner transformation. Within this scheme, the thermodynamic quantities of this model are rigorously determined by a recursion...

The ground-state binding energies of a hydrogenic impurity in cylindrical quantum dots (QDs) subjected to external electric and magnetic fields are investigated using the finite-difference method within the quasi-one-dimensional effective potential model. The QD is modeled by superposing a square-well potential and a strong lateral confinement pote...

By means of the non-equilibrium Green's function technique, the inter-dot and Josephson currents in a superconductor/quantum-dot ring/superconductor (S/QDR/S) system are theoretically investigated. We found that a persistent current can coexist with the Josephson current in this hybrid QDR system when the inter-dot currents are all flowing in the c...

The dimerized spin-1 Ising chain with both longitude and transverse single-ion anisotropies Dz and Dx is solved exactly by means of a mapping to the spin- Ising chain with the alternating transverse fields and the Jordan–Wigner transformation. The analytical expressions of the quasi-particles’ spectra Λk, the minimal energy gap Δ0 for exciting a fe...

By means of the non-equilibrium Green's function technique, the persistent spin and charge currents in a quantum-dot ring are theoretically investigated. We find that by introducing local spin–orbit interaction on an individual quantum dot, a pure persistent spin current can be induced even in the absence of external magnetic flux and magnetic mate...

The mixed spin-1/2 and spin-1 Ising chain with both longitude and transverse single-ion anisotropies Dz and Dx is solved exactly by means of a mapping to the spin-1/2 Ising chain with the alternating transverse fields and the Jordan–Wigner transformation. The analytical expressions of the quasi-particles' spectra Λk, the minimal energy gap Δ0 for e...

The electronic transport through a side-coupled triple quantum dot array (QDA) is investigated by means of Green function technique within the tight-binding framework. We obtain the formula of the linear conductance of QDA. The linear conductance spectrum is numerically studied. We discuss the feasibility of applying our structure to the electron s...

The Stark shift of the electronic energy levels in semiconducting rectangular quantum boxes with different sizes is investigated by the use of variational solutions to the effective-mass approximation for electric fields of various orientations with respect to the center axis of the box. The asymptotic expansions of the Stark shift are given in the...

The transverse Stark effect in a rectangular quantum wire is investigated in the presence of an electric field by means of the variational calculation method and effective-mass approximation. We obtain the asymptotic expansions of the Stark shift for low electric fields and for strong electric fields respectively, and find that the Stark shift is a...

## Citations

... A Y-shaped junction device consisting of two metallic leads, each connected to a SC electrode through two QDs, played the role of a Cooper-pair splitter and allowed control over CAR and LAR processes when tuning the gate voltages [77]. The Andreev transport properties of double-QD Cooper-pair splitters [78][79][80][81] or multi-QD-MBS setups [82][83][84][85][86][87][88][89] have also been theoretically explored. In addition, the thermoelectric properties in Cooper-pair splitters with QDs have been explored both theoretically [90][91][92] and experimentally with graphene-based QDs [93]. ...

... [31] Furthermore, persistent currents are sensitive to external perturbations, any change that makes variations in the spectra of a determinated system will be observed in the persistent current. In this sense, the use of persistent currents with the purpose of detecting MBSs has been studied theoretically by Gong et al., [32] where a TSC is embedded in the QD-ring. As a result, the relevant signature of the MBSs is the cancellation of persistent current signal when the ring parity is even. ...

... Using the finite-difference method, the electric and magnetic field effects on the on-center and off-center impurity binding energy in CQD have been studied by Wang et al. 48 . In that work, the electric (magnetic) field has been considered perpendicular (parallel) to the axial axis of the structure. ...

... For instance, in a T-shaped double-QD junction, an unusual transition occurs in the half-filled case, different from the serially coupled geometry [10][11][12]. In the Fano-Josephson junction, an intermediate bistable phase has been found to appear in the phase-transition process [13]. ...

... Only a limited number of studies have been done also on the non-equilibrium effects in the QQD systems and mainly focused on the effects of the spinpolarization, magnification and circulation of the persistent current [34,35], as well the current oscillation phenomena. The current-voltage (J −V ) characteristics have been investigated in some particular cases [28,33,36], including a possibility of negative differential conductance (NDC) effects [33], analogous to those previously found for parallel quantum dots [12,[37][38][39][40]. ...

... The quantum dot thus can possess BCS-like states in contrast to their original discrete states 10 that are under a more direct influence of the Coulomb blockade. Furthermore, one of the most important effects of the SC-QD coupling is the emergence of Andreev bound states (ABS) [11][12][13] found in SC-QD heterostructures which carry important information on phase transitions for the dot. ...

... A Y-shaped junction device consisting of two metallic leads, each connected to a SC electrode through two QDs, played the role of a Cooper-pair splitter and allowed control over CAR and LAR processes when tuning the gate voltages [77]. The Andreev transport properties of double-QD Cooper-pair splitters [78][79][80][81] or multi-QD-MBS setups [82][83][84][85][86][87][88][89] have also been theoretically explored. In addition, the thermoelectric properties in Cooper-pair splitters with QDs have been explored both theoretically [90][91][92] and experimentally with graphene-based QDs [93]. ...

... Thus, a tightly confined principal direction implies a reduced polarizability element. Similarly, highly symmetric cross sections such as circles [21], hexagons and squares [22] lead to isotropic polarizability tensors. It follows that angle-resolved low-field Stark spectroscopy provides useful geometric information about symmetries and nanowire aspect ratio. ...

... The present work is devoted to an exact study of the mixed spin-(1/2, 1) Ising chain model, which accounts both for the axial zero-field splitting (AZFS) as well as the rhombic zero-field splitting (RZFS) parameter in a presence of the applied longitudinal magnetic field. It is worthy of notice that the special limiting case of this model system in an absence of the external magnetic field has been proposed and exactly solved by Wu et al. [4,5,6] using the rigorous procedure based on the Jordan-Wigner transformation [7] (see Refs. [8,9,10] for related works on this subject). However, it has been recently shown by the present authors [11] that the exact results obtained by Wu et al. [4,5] can also be recovered by another independent way by making use of the transfer-matrix method. ...

... Also, for this S = 1 model, the phase diagram at finite temperatures has been studied by using analytical and numerical techniques, such as the standard mean-field approximation [17][18][19], standard effective-field theory [20,21], improved pair approximation [22], effectivefield theory with correlations [23], and an effective correlated mean-field scheme [24]. Even mixed spin-1/2 and 1 [25,26] and mixed spin-1/2 and 3/2 [27] have also been studied in the literature. This means that reasonable knowledge of the main transition properties of the S = 1 system has been achieved, at least in a qualitative aspect. ...