papers

Publications (12)

cond-mat.str-el2016

Classification and Description of Bosonic Symmetry Protected Topological Phases with semiclassical Nonlinear Sigma models

Zhen Bi, Alex Rasmussen, Kevin Slagle +1

In this paper we systematically classify and describe bosonic symmetry protected topological (SPT) phases in all physical spatial dimensions using semiclassical nonlinear Sigma mod…

cond-mat.str-el2020

Higher-form Gauge Symmetries in Multipole Topological Phases

Oleg Dubinkin, Alex Rasmussen, Taylor L. Hughes

In this article we study field-theoretical aspects of multipolar topological insulators. Previous research has shown that such systems naturally couple to higher-rank tensor gauge…

cond-mat.str-el2016

Stable Interacting (2 + 1)d Conformal Field Theories at the Boundary of a class of (3 + 1)d Symmetry Protected Topological Phases

Zhen Bi, Alex Rasmussen, Yoni BenTov +1

Motivated by recent studies of symmetry protected topological (SPT) phases, we explore the possible gapless quantum disordered phases in the nonlinear sigma model defined…

cond-mat.str-el2018

Gapless Topological Order, Gravity, and Black Holes

Alex Rasmussen, Adam Jermyn

In this work we demonstrate that linearized gravity exhibits gapless topological order with an extensive ground state degeneracy. This phenomenon is closely related both to the top…

cond-mat.str-el2015

Wave Function and Strange Correlator of Short Range Entangled states

Yi-Zhuang You, Zhen Bi, Alex Rasmussen +2

We demonstrate the following conclusion: If is a or nontrivial short range entangled state, and is a trivial disordered state defined on the sam…

cond-mat.str-el2015

Bridging Fermionic and Bosonic Short Range Entangled States

Yi-Zhuang You, Zhen Bi, Alex Rasmussen +2

In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a gauge field to fermionic SRE states with the same symmetries, an…

cond-mat.str-el2018

Classification and construction of higher-order symmetry protected topological phases of interacting bosons

Alex Rasmussen, Yuan-Ming Lu

Motivated by the recent discovery of higher-order topological insulators, we study their counterparts in strongly interacting bosons: `higher-order symmetry protected topological (…

cond-mat.str-el2018

Intrinsically interacting topological crystalline insulators and superconductors

Alex Rasmussen, Yuan-Ming Lu

Motivated by recent progress in crystalline symmetry protected topological (SPT) phases of interacting bosons, we study topological crystalline insulators/superconductors (TCIs) of…

cond-mat.str-el2017

Emergent Symmetry and Tricritical Points near the deconfined Quantum Critical Point

Chao-Ming Jian, Alex Rasmussen, Yi-Zhuang You +1

Recent proposal of the duality between the noncompact QED and the easy-plane noncompact CP (NCCP) model suggests that the deconfined quantum critical point (dQCP)…

cond-mat.str-el2017

Deconfined Quantum Critical Point on the Triangular Lattice

Chao-Ming Jian, Alex Thomson, Alex Rasmussen +2

We first propose a topological term that captures the "intertwinement" between the standard "" antiferromagnetic order (or the so-called 120 state…

cond-mat.str-el2016

Stable Gapless Bose Liquid Phases without any Symmetry

Alex Rasmussen, Yi-Zhuang You, Cenke Xu

It is well-known that a stable algebraic spin liquid state (or equivalently an algebraic Bose liquid (ABL) state) with emergent gapless photon excitations can exist in quantum spin…

cond-mat.str-el2013

Line defects in Three dimensional Symmetry Protected Topological Phases

Zhen Bi, Alex Rasmussen, Cenke Xu

A 3d symmetry protected topological phase, by definition must have symmetry protected nontrivial boundary states, namely its 2d boundary must be either gapless or degenerate. In th…