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Spin-orbit interaction induced anisotropic property in interacting quantum wires.

Cheng F, Zhou G, Chang K - Nanoscale Res Lett (2011)

Bottom Line: : We investigate theoretically the ground state and transport property of electrons in interacting quantum wires (QWs) oriented along different crystallographic directions in (001) and (110) planes in the presence of the Rashba spin-orbit interaction (RSOI) and Dresselhaus SOI (DSOI).The electron ground state can cross over different phases, e.g., spin density wave, charge density wave, singlet superconductivity, and metamagnetism, by changing the strengths of the SOIs and the crystallographic orientation of the QW.The interplay between the SOIs and Coulomb interaction leads to the anisotropic dc transport property of QW which provides us a possible way to detect the strengths of the RSOI and DSOI.PACS numbers: 73.63.Nm, 71.10.Pm, 73.23.-b, 71.70.Ej.

View Article: PubMed Central - HTML - PubMed

Affiliation: SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P, O, Box 912, Beijing 100083, China. kchang@semi.ac.cn.

ABSTRACT
: We investigate theoretically the ground state and transport property of electrons in interacting quantum wires (QWs) oriented along different crystallographic directions in (001) and (110) planes in the presence of the Rashba spin-orbit interaction (RSOI) and Dresselhaus SOI (DSOI). The electron ground state can cross over different phases, e.g., spin density wave, charge density wave, singlet superconductivity, and metamagnetism, by changing the strengths of the SOIs and the crystallographic orientation of the QW. The interplay between the SOIs and Coulomb interaction leads to the anisotropic dc transport property of QW which provides us a possible way to detect the strengths of the RSOI and DSOI.PACS numbers: 73.63.Nm, 71.10.Pm, 73.23.-b, 71.70.Ej.

No MeSH data available.


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Phase diagram of the ground state of Q1 D electron gas in a QW embedded in (001) plane for vρ = 1.2vF, vσ = 0.8vF, Kσ = 0.7 for different values of the strengths of the RSOI α and DSOI β (in units of ħvF). θ is the crystallographic direction. The regions below the dotted lines (δv > δvσ) indicate the MM phase.
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Figure 2: Phase diagram of the ground state of Q1 D electron gas in a QW embedded in (001) plane for vρ = 1.2vF, vσ = 0.8vF, Kσ = 0.7 for different values of the strengths of the RSOI α and DSOI β (in units of ħvF). θ is the crystallographic direction. The regions below the dotted lines (δv > δvσ) indicate the MM phase.

Mentions: First, we study how the interplay among the Coulomb interaction, the RSOI, and the DSOI affects the ground state of Q1 D electron gas. It is worth to note that if one does not assume any specific form for electron-electron interactions, then all four parameters vρ(σ) and Kρ(σ) (or equivalently g2//, g2⊥, g4// and g4⊥) are independent [18]. Figure 2 describes the phase diagram of Q1 D QW embedded in (001) plane as function of the strength of the Coulomb interaction Kp and crystallographic orientations θ for the different strengths of SOIs α and β when Kσ = 0.7. We should stress that the different phases are determined by which correlation function decays most slowly for /x/ → ∞ when the other correlation functions become negligible. We define the phase by the dominant correlation function, e.g., CDW or SDW. Here the CDW and SDW are actually not the pure charge and spin fluctuations, but a mixed state of them induced by the SOIs. Interestingly, one can see that the ground state of the system displays a crossover between the CDW and SDW by tuning the crystallographic orientation for the fixed parameters, e.g., Kρ, α, and β. Note that the ground state of Q1 D electron system in the presence of RSOI alone cannot be affected by tuning the crystallographic orientation [18]. We find that there are crossovers of the ground state of Q1 D electron gas between CDW and SDW when we tune the strengths of the Coulomb interaction and the SOIs. For a fixed strength of the DSOI, the CDW phase region will be squeezed and die away gradually, with increase in the strengths of the RSOI. The ground state of the system is always SDW at strong RSOI for the arbitrary orientation of the QW. On the contrary, as the strength of the RSOI decreases for a given strength of the DSOI, the CDW phase region expands, and the ground state of the system becomes the CDW eventually. When δv >δvσ, i.e., in the region below the dotted line, the ground state is the so-called MM phase, which was earlier observed in the Q1 D systems, e.g., Ba3Cu2O4Cl2 [24], and attributed to the next-nearest-neighbor coupling in the XXZ model [25]. By tuning the parameters properly, the ground state of the system exhibits the crossovers among the SDW, CDW, SS, and MM.


Spin-orbit interaction induced anisotropic property in interacting quantum wires.

Cheng F, Zhou G, Chang K - Nanoscale Res Lett (2011)

Phase diagram of the ground state of Q1 D electron gas in a QW embedded in (001) plane for vρ = 1.2vF, vσ = 0.8vF, Kσ = 0.7 for different values of the strengths of the RSOI α and DSOI β (in units of ħvF). θ is the crystallographic direction. The regions below the dotted lines (δv > δvσ) indicate the MM phase.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3211270&req=5

Figure 2: Phase diagram of the ground state of Q1 D electron gas in a QW embedded in (001) plane for vρ = 1.2vF, vσ = 0.8vF, Kσ = 0.7 for different values of the strengths of the RSOI α and DSOI β (in units of ħvF). θ is the crystallographic direction. The regions below the dotted lines (δv > δvσ) indicate the MM phase.
Mentions: First, we study how the interplay among the Coulomb interaction, the RSOI, and the DSOI affects the ground state of Q1 D electron gas. It is worth to note that if one does not assume any specific form for electron-electron interactions, then all four parameters vρ(σ) and Kρ(σ) (or equivalently g2//, g2⊥, g4// and g4⊥) are independent [18]. Figure 2 describes the phase diagram of Q1 D QW embedded in (001) plane as function of the strength of the Coulomb interaction Kp and crystallographic orientations θ for the different strengths of SOIs α and β when Kσ = 0.7. We should stress that the different phases are determined by which correlation function decays most slowly for /x/ → ∞ when the other correlation functions become negligible. We define the phase by the dominant correlation function, e.g., CDW or SDW. Here the CDW and SDW are actually not the pure charge and spin fluctuations, but a mixed state of them induced by the SOIs. Interestingly, one can see that the ground state of the system displays a crossover between the CDW and SDW by tuning the crystallographic orientation for the fixed parameters, e.g., Kρ, α, and β. Note that the ground state of Q1 D electron system in the presence of RSOI alone cannot be affected by tuning the crystallographic orientation [18]. We find that there are crossovers of the ground state of Q1 D electron gas between CDW and SDW when we tune the strengths of the Coulomb interaction and the SOIs. For a fixed strength of the DSOI, the CDW phase region will be squeezed and die away gradually, with increase in the strengths of the RSOI. The ground state of the system is always SDW at strong RSOI for the arbitrary orientation of the QW. On the contrary, as the strength of the RSOI decreases for a given strength of the DSOI, the CDW phase region expands, and the ground state of the system becomes the CDW eventually. When δv >δvσ, i.e., in the region below the dotted line, the ground state is the so-called MM phase, which was earlier observed in the Q1 D systems, e.g., Ba3Cu2O4Cl2 [24], and attributed to the next-nearest-neighbor coupling in the XXZ model [25]. By tuning the parameters properly, the ground state of the system exhibits the crossovers among the SDW, CDW, SS, and MM.

Bottom Line: : We investigate theoretically the ground state and transport property of electrons in interacting quantum wires (QWs) oriented along different crystallographic directions in (001) and (110) planes in the presence of the Rashba spin-orbit interaction (RSOI) and Dresselhaus SOI (DSOI).The electron ground state can cross over different phases, e.g., spin density wave, charge density wave, singlet superconductivity, and metamagnetism, by changing the strengths of the SOIs and the crystallographic orientation of the QW.The interplay between the SOIs and Coulomb interaction leads to the anisotropic dc transport property of QW which provides us a possible way to detect the strengths of the RSOI and DSOI.PACS numbers: 73.63.Nm, 71.10.Pm, 73.23.-b, 71.70.Ej.

View Article: PubMed Central - HTML - PubMed

Affiliation: SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P, O, Box 912, Beijing 100083, China. kchang@semi.ac.cn.

ABSTRACT
: We investigate theoretically the ground state and transport property of electrons in interacting quantum wires (QWs) oriented along different crystallographic directions in (001) and (110) planes in the presence of the Rashba spin-orbit interaction (RSOI) and Dresselhaus SOI (DSOI). The electron ground state can cross over different phases, e.g., spin density wave, charge density wave, singlet superconductivity, and metamagnetism, by changing the strengths of the SOIs and the crystallographic orientation of the QW. The interplay between the SOIs and Coulomb interaction leads to the anisotropic dc transport property of QW which provides us a possible way to detect the strengths of the RSOI and DSOI.PACS numbers: 73.63.Nm, 71.10.Pm, 73.23.-b, 71.70.Ej.

No MeSH data available.


Related in: MedlinePlus