© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:cond-mat/9802037 · International Journal of Modern Physics B

Directional Dependence of Spin Currents Induced by Aharonov–Casher Phase

Taeseung Choi, Chang‐Mo Ryu, A. M. Jayannavar

Published Aug 10, 1998• 15 citations

Abstract

We have calculated the persistent spin current of an open ring induced by the Aharonov–Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude of the persistent spin current in a ring depends on the direction of the direct current flow from one reservoir to another. The persistent spin current is modulated by the cosine function of the spin precession angle. The nonadiabatic Aharonov–Casher phase gives anomalous behaviors. The Aharonov–Anandan phase is determined by the solid angle of spin precession. When the nonadiabatic Aharonov–Anandan phase approaches a constant value with the increase of the electric field, the periodic behavior of the spin persistent current occurs in an adiabatic limit. In this limit the periodic behavior of the persistent spin current could be understood by the effective spin-dependent Aharonov–Bohm flux.

DOI: 10.1142/s021797929800123x

Related papers

Nonadiabatic Phase and Persistent Currents for System of Spin-$\frac12 $ Particles in Presence of Electromagnetic Fields and Spin-Orbit Interaction

Li Nian-Bei, Zhongshui Ma

We present a comprehensive view and details of calculations on Aharonov–Anandan phase for the charged particles in the external electric and magnetic fields for a nonadiabatic process. We derive, with consideration of a spin-orbit interaction and Zeemann Splitting, the persistent currents as a response to an Aharonov–Casher topological interference effect in one-dimensional mesoscopic ring. We also establish a connection to Berry adiabatic phase with deduced dynamical-nature dependence in the nonadiabatic process. The second quantization representation has also been employed in exhibition of persistent currents in the many-body case.

Communications in Theoretical Physics•Feb 15, 2004•0 citations

Nonadiabatic Phase and Persistent Currents for System of Spin-1／2 Particles in Presenceof Electromagnetic Fields and Spin-Orbit Interaction

LINian-Bei, MAZhong-Shui

We present a comprehensive view and details of calculations on Aharonov-Anandan phase for the charged particles in the external electric and magnetic fields for a nonadiabatic process. We derive, with consideration of a spin-orbit interaction and Zeemann Splitting, the persistent currents as a response to an Aharonov-Casher topological interference effect in one-dimensional mesoscopic ring. We also establish a connection to Berry adiabatic phase with dednced dynamical-nature dependence in the nonadiabatic process. The second quantization representation has also been employed in exhibition of persistent currents in the many-body case.

理论物理通讯：英文版•Jan 1, 2004•0 citations

Nonadiabatic noncyclic geometric phase and persistent current in one-dimensional rings

Z. D. Wang, Shi-Liang Zhu

The total geometric phase is composed of the nonadiabatic noncyclic Pancharatnam phase, the usual Aharonov-Bohm (AB) phase, and the effective AB phase. It is found that the persistent current in one-dimensional rings is determined from this phase. As applications, we address first the geometric phase and the persistent current in a ring subject to a cylindrically symmetric electromagnetic field. We show that the Pancharatnam phase recovers the Aharanov-Anandan phase in the case of cyclic evolution, as well as the Berry phase in the adiabatic evolution. Moreover, we discuss the persistent current induced by the spin-orbit-induced geometric phase in the presence of a local magnetic field. Generalization to many-body cases is also addressed.

Physical review. B, Condensed matter•Oct 15, 1999•6 citations

Spin-orbit interaction and Aharonov-Anandan phase in mesoscopic rings

Tiezheng Qian, Zhao-Bin Su

We show the existence of a nonadiabatic geometric phase, i.e., an Aharonov-Anandan (AA) phase, in the Aharonov-Casher (AC) topological interference effect in one-dimensional mesoscopic rings. We find the AC phase is the phase accumulated by the spin wave function during a cyclic evolution, and show it is the sum of a geometric AA phase and a dynamical phase. In the adiabatic limit, the AA phase becomes the spin-orbit Berry phase introduced by Aronov and Lyanda-Geller. By solving exactly the model of a quasi-one-dimensional ring formed by the 2DEG on a semiconductor heterostructure, we discuss the observability of the AA phase in the AC effect.

Physical Review Letters•Apr 11, 1994•125 citations

AHARONOV–CASHER PHASE AND SPIN MOTIVE FORCE

Taeseung Choi

We have studied the spin motive force induced by the time-dependent nonadiabatic Aharonov–Casher (AC) phase. It has been shown that the spin motive force has the new term explicitly dependent on the Aharonov–Anandan (AA) phase. This AA phase dependent term could be obtained both in the canonical and path-integral formulations. In path-integral formulations this AA dependent term originates from the nontrivial path-ordering nature of a non-Abelian spin gauge group. We also have shown that this term can be understood as the rotating frame effect in the classical equation of motion for the spin angular momentum. With this term the duality between the Aharonov–Bohm and the AC effect reaches the Newton's third law in the classical limit.

Modern Physics Letters B•Feb 10, 2006•0 citations

Quantum transport by nonadiabatic Aharonov-Casher phase in mesoscopic rings

Taeseung Choi, Sam Young Cho, Chang‐Mo Ryu +1 more

We have studied the quantum transport by nonadiabatic Aharonov-Casher phase in mesoscopic rings embedded in textured electric fields. The quantum transport of the electron is examined based on a one-dimensional quantum waveguide theory. Periodic behaviors of the transmission probability are found in the domain when the quantum phase approaches an adiabatic limit, whereas anomalous quantum transport is shown in the nonadiabatic domain. The difference between the angle of the spin and that of the electric field is found to determine the detailed characteristics of the nonadiabatic quantum phase and transport. The destructive pattern of the transmission probability is found to occur in accordance with the abrupt change of the persistent current in an isolated ring.

Physical review. B, Condensed matter•Aug 15, 1997•45 citations

We have calculated the persistent spin current of an open ring induced by the Aharonov–Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude of the persistent spin current in a ring depends on the direction of the direct current flow from one reservoir to another. The persistent spin current is modulated by the cosine function of the spin precession angle. The nonadiabatic Aharonov–Casher phase gives anomalous behaviors. The Aharonov–Anandan phase is determined by the solid angle of spin precession. When the nonadiabatic Aharonov–Anandan phase approaches a constant value with the increase of the electric field, the periodic behavior of the spin persistent current occurs in an adiabatic limit. In this limit the periodic behavior of the persistent spin current could be understood by the effective spin-dependent Aharonov–Bohm flux.

We present a comprehensive view and details of calculations on Aharonov–Anandan phase for the charged particles in the external electric and magnetic fields for a nonadiabatic process. We derive, with consideration of a spin-orbit interaction and Zeemann Splitting, the persistent currents as a response to an Aharonov–Casher topological interference effect in one-dimensional mesoscopic ring. We also establish a connection to Berry adiabatic phase with deduced dynamical-nature dependence in the nonadiabatic process. The second quantization representation has also been employed in exhibition of persistent currents in the many-body case.

We present a comprehensive view and details of calculations on Aharonov-Anandan phase for the charged particles in the external electric and magnetic fields for a nonadiabatic process. We derive, with consideration of a spin-orbit interaction and Zeemann Splitting, the persistent currents as a response to an Aharonov-Casher topological interference effect in one-dimensional mesoscopic ring. We also establish a connection to Berry adiabatic phase with dednced dynamical-nature dependence in the nonadiabatic process. The second quantization representation has also been employed in exhibition of persistent currents in the many-body case.

The total geometric phase is composed of the nonadiabatic noncyclic Pancharatnam phase, the usual Aharonov-Bohm (AB) phase, and the effective AB phase. It is found that the persistent current in one-dimensional rings is determined from this phase. As applications, we address first the geometric phase and the persistent current in a ring subject to a cylindrically symmetric electromagnetic field. We show that the Pancharatnam phase recovers the Aharanov-Anandan phase in the case of cyclic evolution, as well as the Berry phase in the adiabatic evolution. Moreover, we discuss the persistent current induced by the spin-orbit-induced geometric phase in the presence of a local magnetic field. Generalization to many-body cases is also addressed.

We show the existence of a nonadiabatic geometric phase, i.e., an Aharonov-Anandan (AA) phase, in the Aharonov-Casher (AC) topological interference effect in one-dimensional mesoscopic rings. We find the AC phase is the phase accumulated by the spin wave function during a cyclic evolution, and show it is the sum of a geometric AA phase and a dynamical phase. In the adiabatic limit, the AA phase becomes the spin-orbit Berry phase introduced by Aronov and Lyanda-Geller. By solving exactly the model of a quasi-one-dimensional ring formed by the 2DEG on a semiconductor heterostructure, we discuss the observability of the AA phase in the AC effect.

We have studied the spin motive force induced by the time-dependent nonadiabatic Aharonov–Casher (AC) phase. It has been shown that the spin motive force has the new term explicitly dependent on the Aharonov–Anandan (AA) phase. This AA phase dependent term could be obtained both in the canonical and path-integral formulations. In path-integral formulations this AA dependent term originates from the nontrivial path-ordering nature of a non-Abelian spin gauge group. We also have shown that this term can be understood as the rotating frame effect in the classical equation of motion for the spin angular momentum. With this term the duality between the Aharonov–Bohm and the AC effect reaches the Newton's third law in the classical limit.

We have studied the quantum transport by nonadiabatic Aharonov-Casher phase in mesoscopic rings embedded in textured electric fields. The quantum transport of the electron is examined based on a one-dimensional quantum waveguide theory. Periodic behaviors of the transmission probability are found in the domain when the quantum phase approaches an adiabatic limit, whereas anomalous quantum transport is shown in the nonadiabatic domain. The difference between the angle of the spin and that of the electric field is found to determine the detailed characteristics of the nonadiabatic quantum phase and transport. The destructive pattern of the transmission probability is found to occur in accordance with the abrupt change of the persistent current in an isolated ring.