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We study numerically the charge conductance distributions of disordered quantum spin-Hall (QSH) systems using a quantum network model. We have found that the conductance distribution at the metal-QSH insulator transition is clearly…

介观与纳米尺度物理 · 物理学 2010-10-05 K. Kobayashi , T. Ohtsuki , H. Obuse , K. Slevin

We investigate the post-quench dynamics of the quantum geometric tensor (QGT) of 1D periodic systems with a suddenly changed Hamiltonian. The diagonal component with respect to the crystal momentum gives a metric corresponding to the…

量子物理 · 物理学 2026-05-05 Jia-Chen Tang , Xu-Yang Hou , Yu-Huan Huang , Hao Guo. Chih-Chun Chien

Fractional quantum anomalous Hall (FQAH) effect, a lattice analogue of fractional quantum Hall effect, offers a unique pathway toward fault-tolerant quantum computation and deep insights into the interplay of topology and strong…

介观与纳米尺度物理 · 物理学 2026-04-30 Wenqi Yang , Dawei Zhai , Wang Yao

We consider the conductivity $\sigma_{xx}$ of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class $\sigma$-model including…

介观与纳米尺度物理 · 物理学 2007-06-18 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We develop an efficient numerical method to study the quantum critical behavior of disordered systems with $\mathcal{O}(N)$ order-parameter symmetry in the large$-N$ limit. It is based on the iterative solution of the large$-N$ saddle-point…

统计力学 · 物理学 2015-06-15 David Nozadze , Thomas Vojta

Using an exact mapping to disordered Coulomb gases, we introduce a novel method to study two dimensional Dirac fermions with quenched disorder in two dimensions which allows to treat non perturbative freezing phenomena. For purely random…

凝聚态物理 · 物理学 2009-11-07 Baruch Horovitz , Pierre Le Doussal

Conventional wisdom holds that static disorder is indispensable to the integer quantum Hall effect, underpinning both quantized plateaus and the plateau-plateau transition. We show that pure dephasing, without elastic disorder, is…

介观与纳米尺度物理 · 物理学 2025-11-13 Fei Yang , Dong E. Liu

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

统计力学 · 物理学 2020-09-22 Sudip Mukherjee , Abhik Basu

We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor…

统计力学 · 物理学 2011-06-03 P. E. Theodorakis , N. G. Fytas

We report new experimental data on the plateau-insulator transition in the quantum Hall regime, taken from a low mobility InGaAs/InP heterostructure. By employing the fundamental symmetries of the quantum transport problem we are able to…

介观与纳米尺度物理 · 物理学 2015-06-24 A. M. M. Pruisken , D. T. N. de Lang , L. A. Ponomarenko , A. de Visser

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an…

强关联电子 · 物理学 2008-12-18 Simon Hands , Costas Strouthos

We argue that chiral symmetry breaking in three dimensional QCD can be identified with N\'eel order in 2-dimensional quantum antiferromagnets. When operators which drive the chiral transition are added to these theories, we postulate that…

高能物理 - 唯象学 · 物理学 2009-10-28 H. Hamidian , S. Jaimungal , G. W. Semenoff , P. Suranyi , L. C. R. Wijewardhana

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

统计力学 · 物理学 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

Tha quantum electrodynamics of particles constrained to move on a plane is not a fully dimensionally reduced theory because the gauge fields through which they interact live in higher dimensions. By constraining the gauge field to the…

超导电性 · 物理学 2025-02-24 Yi-Hui Xing , Lin Zhuang , E. C. Marino , Wu-Ming Liu

We study the effects of symmetry-breaking defects at continuous quantum transitions (CQTs), which may arise from localized external fields coupled to the order-parameter operator. The problem is addressed within renormalization-group (RG)…

统计力学 · 物理学 2022-05-10 Alessio Franchi , Davide Rossini , Ettore Vicari

In this paper, we explore quantum criticality in the disordered Aubry-Andr\'{e} (AA) model. For the pure AA model, it is well-known that it hosts a critical point separating an extended phase and a localized insulator phase by tuning the…

无序系统与神经网络 · 物理学 2023-01-06 Xuan Bu , Liang-Jun Zhai , Shuai Yin

We investigate the effects of quenched disorder on first-order quantum phase transitions on the example of the $N$-color quantum Ashkin-Teller model. By means of a strong-disorder renormalization group, we demonstrate that quenched disorder…

强关联电子 · 物理学 2013-01-17 Fawaz Hrahsheh , José A. Hoyos , Thomas Vojta

We present the results of a numerical simulation aimed at understanding the nature of the `c = 1 barrier' in two dimensional quantum gravity. We study multiple Ising models living on dynamical $\phi^3$ graphs and analyse the behaviour of…

高能物理 - 格点 · 物理学 2009-10-22 Simon M. Catterall , John B. Kogut , Ray L. Renken

Quantum computing (QC) seems to show potential for application in machine learning (ML). In particular quantum kernel methods (QKM) exhibit promising properties for use in supervised ML tasks. However, a major disadvantage of kernel methods…

量子物理 · 物理学 2025-01-14 Kilian Tscharke , Sebastian Issel , Pascal Debus

The QED$_3$-Gross-Neveu model is a (2+1)-dimensional U(1) gauge theory involving Dirac fermions and a critical real scalar field. This theory has recently been argued to represent a dual description of the deconfined quantum critical point…

强关联电子 · 物理学 2018-10-03 Bernhard Ihrig , Lukas Janssen , Luminita N. Mihaila , Michael M. Scherer