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We study Berry's connection potentials of many-body ground states of spin-one bosons with antiferromagnetic interactions in adiabatically varying magnetic fields. We find that Berry's connection potentials are generally determined by,…

Condensed Matter · Physics 2009-11-10 Jeroen Wiemer , Fei Zhou

Mesoscopic conductors are electronic systems of sizes in between nano- and micrometers, and often of reduced dimensionality. In the phase-coherent regime at low temperatures, the conductance of these devices is governed by quantum…

Mesoscale and Nanoscale Physics · Physics 2008-03-27 Michael Wimmer , Matthias Scheid , Klaus Richter

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

The Topological Hypothesis states that phase transitions should be related to changes in the topology of configuration space. The necessity of such changes has already been demonstrated. We characterize exactly the topology of the…

Statistical Mechanics · Physics 2007-05-23 S. Risau-Gusman , A. C. Ribeiro-Teixeira , D. A. Stariolo

We study topological properties of phase transition points of two topologically non-trivial $\mathbb{Z}_2$ classes (D and DIII) in one dimension by assigning a Berry phase defined on closed circles around the gap closing points in the…

Strongly Correlated Electrons · Physics 2016-09-20 Linhu Li , Chao Yang , Shu Chen

Despite the extensive studies of topological systems, the experimental characterizations of strongly nonlinear topological phases have been lagging. To address this shortcoming, we design and build elliptically geared isostatic…

Materials Science · Physics 2023-08-01 Fangyuan Ma , Zheng Tang , Xiaotian Shi , Ying Wu , Jinkyu Yang , Di Zhou , Yugui Yao , Feng Li

The topology of a topological material can be encoded in its surface states. These surface states can only be removed by a bulk topological quantum phase transition into a trivial phase. Here we use photoemission spectroscopy to image the…

Non-Abelian and non-adiabatic variants of Berry's geometric phase have been pivotal in the recent advances in fault tolerant quantum computation gates, while Berry's phase itself is at the heart of the study of topological phases of matter.…

Quantum Gases · Physics 2019-10-30 H. M. Bharath , Matthew Boguslawski , Maryrose Barrios , Lin Xin , M. S. Chapman

We consider the analogy between the topological phase transition which occurs as a function of spatial coordinate on a surface of a non-trivial insulator, and the one which occurs in the bulk due to the change of internal parameters (such…

Materials Science · Physics 2012-11-06 Stanislav Chadov , Janos Kiss , Jürgen Kübler , Claudia Felser

Recently the possibility of achieving one-way backscatter immune transportation of light by mimicking the topological order present within certain solid state systems, such as topological insulators, has received much attention. Thus far…

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

Sliding-induced topological transitions in biphenylene bilayers are investigated, considering various stacking configurations which are analyzed from a symmetry perspective and described in detail,highlighting the intricate patterns of…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 L. L. Lage , S. Bravo , O. Arroyo-Gascón , Leonor Chico , A. Latgé

Topological Bloch oscillations are a hallmark of quantum transport phenomenon in which wavepackets undergo oscillatory motion driven by the interplay between an external force and topological edge states and serve as a powerful dynamical…

Quantum Gases · Physics 2026-03-20 Chunyan Li , Ce Shang , Boris A. Malomed

Time-variant systems have recently garnered considerable attention due to their unique potentials in manipulating electromagnetic waves. Here, a novel class of topological spacetime crystals is introduced, with a traveling-wave modulation…

Optics · Physics 2025-09-24 João C. Serra , Mário G. Silveirinha

Topological phase transitions can occur in the dissipative dynamics of a quantum system when the ratio of matrix elements for competing transport channels is varied. Here we establish a relation between such behavior in a class of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 M. S. Rudner , L. S. Levitov

We theoretically investigate effects of quantum fluctuations on superfluid spin transport through easy-plane quantum antiferromagnetic spin chains in the large-spin limit. Quantum fluctuations give rise to decaying of spin supercurrent by…

Mesoscale and Nanoscale Physics · Physics 2016-03-31 Se Kwon Kim , Yaroslav Tserkovnyak

In two-dimensional layered quantum materials, the stacking order of the layers determines both the crystalline symmetry and electronic properties such as the Berry curvature, topology and electron correlation. Electrical stimuli can…

We derive the semiclassical (with accuracy of $\hbar$) motion equation for relativistic electron, which follow from the Dirac equation. We determine both the evolution equation for electron polarization, which takes the non-Abelian Berry…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh

Recently, optical lattices with non-zero Berry's phases of Bloch bands have been realized. New approaches for measuring Berry's phases and topological properties of bands with experimental tools appropriate for ultracold atoms need to be…

Quantum Gases · Physics 2013-04-19 Dmitry A. Abanin , Takuya Kitagawa , Immanuel Bloch , Eugene Demler
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